From 2d1fdf3f39eb2561e0c26a1be28a8c537cf194b1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 15:13:48 +0200 Subject: [PATCH 01/19] Create 02_thresholding_and_noise.ipynb --- .../02_thresholding_and_noise.ipynb | 249 ++++++++++++++++++ 1 file changed, 249 insertions(+) create mode 100644 05_feature_extraction/02_thresholding_and_noise.ipynb diff --git a/05_feature_extraction/02_thresholding_and_noise.ipynb b/05_feature_extraction/02_thresholding_and_noise.ipynb new file mode 100644 index 0000000..e86bb22 --- /dev/null +++ b/05_feature_extraction/02_thresholding_and_noise.ipynb @@ -0,0 +1,249 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "6595df14-f25f-4f5a-b631-c1abbebaa0bb", + "metadata": {}, + "source": [ + "# Excercise 2\n", + "\n", + "In this exercise, we will try out different threshold methods, see how they react to noisy data - and how filtering can help to improve the results" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "96bb8728-eaf9-48aa-985b-f4eb94ed5c7f", + "metadata": {}, + "outputs": [], + "source": [ + "from skimage import data, filters, measure, util, morphology\n", + "import matplotlib.pyplot as plt\n", + "import napari\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "173c965d-e7e8-4cba-a964-8d422ebf3389", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# First, we create some noisy data - don't modify this code section\n", + "image = data.human_mitosis()\n", + "noisy_data = util.random_noise(image, mode='gaussian') * 255 # this adds some local noisy\n", + "bg = np.zeros_like(noisy_data)\n", + "bg[50,50] = 255\n", + "bg_blur = filters.gaussian(bg, sigma=300)\n", + "bg_blur = 255*bg_blur/bg_blur.max()\n", + "noisy_data += bg_blur\n", + "plt.imshow(noisy_data, cmap='gray') # adjust the values for vmin and vmax to get a better impression!" + ] + }, + { + "cell_type": "markdown", + "id": "b12ee603-872e-4d1b-80bc-64d6ffc94915", + "metadata": {}, + "source": [ + "In order to clear the added noise to the raw image in variable `noisy_data`, you need to apply **noise removal** and **background subtraction**. Apply " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "97719834-21ba-4365-a4f0-ef5c0fc8e1df", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "footprint = morphology.disk(7)\n", + "background = morphology.white_tophat(#Put the noisy image here)\n", + "plt.imshow(background, cmap='gray') # adjust the values for vmin and vmax to get a better impression!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bb85b7d4-5fec-48e6-9dce-883218196c80", + "metadata": {}, + "outputs": [], + "source": [ + "# Code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "1b3bef6e-bac7-4355-8387-f5f403cb73ea", + "metadata": {}, + "source": [ + "Now, apply several of the thresholds from `skimage` to the image data! Choose one that you think is suitable.\n", + "Hint: You can find them under `filters.threshold_...` - use the `tab` key or the [documentation](https://scikit-image.org/docs/stable/api/skimage.filters.html?highlight=filters#module-skimage.filters) to find out how to use the implemented threshold functions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2168ef40-5913-4d44-815b-6b328262b2e0", + "metadata": {}, + "outputs": [], + "source": [ + "binary_image = # code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "ee9147cf-4773-4a01-9da4-5f5867b35ed5", + "metadata": {}, + "source": [ + "Again, use `plt.imshow()` to visualize the results" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "23ed60a0-9cb6-48d7-949a-8d572f693f9c", + "metadata": {}, + "outputs": [], + "source": [ + "# Code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "82f5717f-2fad-495f-84eb-f0ba543b0922", + "metadata": {}, + "source": [ + "Now we would like to perform connected-component analysis. Use the appropriate function from skimage (`measure.label()`) for this task!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "58550efa-a032-417d-90d2-e009f760a8db", + "metadata": {}, + "outputs": [], + "source": [ + "label_image = # code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "8e316ab9-10e9-489a-96af-fb98e65b7ac8", + "metadata": {}, + "source": [ + "## Visualization in Napari" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f8fa699b-8764-4b8f-8967-2da4a292cdb1", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: DirectWrite: CreateFontFaceFromHDC() failed (Indicates an error in an input file such as a font file.) for QFontDef(Family=\"8514oem\", pointsize=12, pixelsize=20, styleHint=5, weight=50, stretch=100, hintingPreference=0) LOGFONT(\"8514oem\", lfWidth=0, lfHeight=-20) dpi=240\n" + ] + } + ], + "source": [ + "viewer = napari.Viewer()" + ] + }, + { + "cell_type": "markdown", + "id": "d8b83da7-0e93-4922-9468-cc0735ae5ce6", + "metadata": {}, + "source": [ + "Use the `add_image()` and the `add_labels()` function to add `image`, `binary_image` and `label_image` to the viewer and create screenshot of the viewer with the `napari.utils.nbscreenshot()` function." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0f648bb4-ee2e-41ac-befa-33f54f9f3843", + "metadata": {}, + "outputs": [], + "source": [ + "# Code goes here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b6614988-1613-4a37-b6b0-591f8c643f38", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From f18f84e7c01fc94e745be9c6a45b35703cb5e093 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 15:13:54 +0200 Subject: [PATCH 02/19] Create 01_thresholding.ipynb --- 05_feature_extraction/01_thresholding.ipynb | 192 ++++++++++++++++++++ 1 file changed, 192 insertions(+) create mode 100644 05_feature_extraction/01_thresholding.ipynb diff --git a/05_feature_extraction/01_thresholding.ipynb b/05_feature_extraction/01_thresholding.ipynb new file mode 100644 index 0000000..6dd3cf9 --- /dev/null +++ b/05_feature_extraction/01_thresholding.ipynb @@ -0,0 +1,192 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "6595df14-f25f-4f5a-b631-c1abbebaa0bb", + "metadata": {}, + "source": [ + "# Excercise 1\n", + "\n", + "In this exercise, we will try out different threshold methods and see how they perform on the same data and create a label image from the binarized image data.\n", + "\n", + "## Recap\n", + "\n", + "Thresholding is the process of separating the background and the foreground of an image by comparing the intensities of each image to a single value, the threshold value. Finding a \"good\" threshold value is therefore of key importance. \n", + "\n", + "The output of a thresholding operation is a binary image, consiting of 0s and 1s - which is equivalent to `True` and `False` in terms of boolean values. \n", + "\n", + "**Vocabulary:** Thresholding is a type of segmentation. Separating the image into two types of pixels (background and foreground) is a type of semantic segmentation, and is - since only two types of pixels exist in the output - referred to as a binarization operation.\n", + "\n", + "**How to code:** Remember - in Python you can compare objects (single numbers or images) to threshold values simply by using the `<` or `>` operator - make sure to put the output into a new variable!" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "96bb8728-eaf9-48aa-985b-f4eb94ed5c7f", + "metadata": {}, + "outputs": [], + "source": [ + "from skimage import data, filters, measure\n", + "import matplotlib.pyplot as plt\n", + "import napari" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2ab114eb-c9a6-417c-be01-a59105cf0202", + "metadata": {}, + "outputs": [], + "source": [ + "image = data.human_mitosis()" + ] + }, + { + "cell_type": "markdown", + "id": "19ae7d4c-2382-428a-8c06-f6908f4710a3", + "metadata": {}, + "source": [ + "As a first task, use the `plt.imshow()` function to display the image in the notebook:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bb85b7d4-5fec-48e6-9dce-883218196c80", + "metadata": {}, + "outputs": [], + "source": [ + "# Code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "1b3bef6e-bac7-4355-8387-f5f403cb73ea", + "metadata": {}, + "source": [ + "Now, apply several of the thresholds from `skimage` to the image data! Choose one that you think is suitable.\n", + "Hint: You can find them under `filters.threshold_...` - use the `tab` key or the [documentation](https://scikit-image.org/docs/stable/api/skimage.filters.html?highlight=filters#module-skimage.filters) to find out how to use the implemented threshold functions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2168ef40-5913-4d44-815b-6b328262b2e0", + "metadata": {}, + "outputs": [], + "source": [ + "binary_image = # code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "ee9147cf-4773-4a01-9da4-5f5867b35ed5", + "metadata": {}, + "source": [ + "Again, use `plt.imshow()` to visualize the results" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "23ed60a0-9cb6-48d7-949a-8d572f693f9c", + "metadata": {}, + "outputs": [], + "source": [ + "# Code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "82f5717f-2fad-495f-84eb-f0ba543b0922", + "metadata": {}, + "source": [ + "Now we would like to perform connected-component analysis. Use the appropriate function from skimage (`measure.label()`) for this task!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "58550efa-a032-417d-90d2-e009f760a8db", + "metadata": {}, + "outputs": [], + "source": [ + "label_image = # code goes here" + ] + }, + { + "cell_type": "markdown", + "id": "8e316ab9-10e9-489a-96af-fb98e65b7ac8", + "metadata": {}, + "source": [ + "## Visualization in Napari" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f8fa699b-8764-4b8f-8967-2da4a292cdb1", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: DirectWrite: CreateFontFaceFromHDC() failed (Indicates an error in an input file such as a font file.) for QFontDef(Family=\"8514oem\", pointsize=12, pixelsize=20, styleHint=5, weight=50, stretch=100, hintingPreference=0) LOGFONT(\"8514oem\", lfWidth=0, lfHeight=-20) dpi=240\n" + ] + } + ], + "source": [ + "viewer = napari.Viewer()" + ] + }, + { + "cell_type": "markdown", + "id": "d8b83da7-0e93-4922-9468-cc0735ae5ce6", + "metadata": {}, + "source": [ + "Use the `add_image()` and the `add_labels()` function to add `image`, `binary_image` and `label_image` to the viewer and create screenshot of the viewer with the `napari.utils.nbscreenshot()` function." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0f648bb4-ee2e-41ac-befa-33f54f9f3843", + "metadata": {}, + "outputs": [], + "source": [ + "# Code goes here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b6614988-1613-4a37-b6b0-591f8c643f38", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 7e87db00668c400b53c31e8b62264bf8a51dbad3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 16:34:31 +0200 Subject: [PATCH 03/19] Create 04_feature_extraction.ipynb --- .../04_feature_extraction.ipynb | 398 ++++++++++++++++++ 1 file changed, 398 insertions(+) create mode 100644 05_feature_extraction/04_feature_extraction.ipynb diff --git a/05_feature_extraction/04_feature_extraction.ipynb b/05_feature_extraction/04_feature_extraction.ipynb new file mode 100644 index 0000000..62df2ce --- /dev/null +++ b/05_feature_extraction/04_feature_extraction.ipynb @@ -0,0 +1,398 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "835df18a-a513-40b4-a0a1-b6af7f3f8b0a", + "metadata": {}, + "source": [ + "# Feature extraction\n", + "\n", + "In this notebook, you will create an instance segmentation of biological data and extract a multitude of quantitiative features from this data with the [`regionprops_table()` function](https://scikit-image.org/docs/dev/api/skimage.measure#skimage.measure.regionprops_table) from scikit-image." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "81cdc60f-1f63-4d6a-9055-790b9ab3ebad", + "metadata": {}, + "outputs": [], + "source": [ + "from skimage import data, filters, measure\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "8f460dcd-2ee9-425f-afd6-56d2984bc77b", + "metadata": {}, + "source": [ + "## Different types of features\n", + "\n", + "As shown in the lecture, features can be grouped in a few general types. Many features tyically belong to one of the following:\n", + "\n", + "- Intensity-based features: These are based on the image intensity values in selected areas of interest\n", + "- Shape-based features: These describe the general shape of an object and can be measured independ of the original intensity values\n", + "- Spatial features: These features typically take into account not only the object itself but also its location in the image or with reference to other objects.\n", + "\n", + "## Working with dictionaries\n", + "\n", + "Measured features of an image are essentially tabular data, which can be handled very efficiently in Python. Tabular data for typical labelled image data looks like this:\n", + "\n", + "| Label | feature 1 | feature 2 |\n", + "| --- | --- | --- |\n", + "| 1 | some value |some value |\n", + "| 2 | some value |some value |\n", + "| 3 | some value |some value |\n", + "...\n", + "\n", + "*Remember*: Labelled images with multiple occurrences of the same type of objects (e.g., cells or nuclei) are the result of an *instance segmentation* task, whereas a unique label is assigned to every object.\n", + "\n", + "Dictionaries in Python typically have a `key`-`value` structure and can be created and accessed like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "a1d8d6a5-8cc3-4f34-80a1-b08b62e1aa1e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'key1': [1, 2, 3], 'key2': ['Monday', 'Tuesday', 'Wednesday']}" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data1 = [1, 2, 3]\n", + "data2 = ['Monday', 'Tuesday', 'Wednesday']\n", + "my_dict = {'key1': data1,\n", + " 'key2': data2}\n", + "my_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "25428588-b673-4403-b323-885a52a6ef92", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_dict['key1']" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "afa90c82-539f-4e35-95cd-aaf8044017e4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['key1', 'key2'])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_dict.keys()" + ] + }, + { + "cell_type": "markdown", + "id": "2461b674-5a27-4c94-960d-b3dc0fa3634d", + "metadata": {}, + "source": [ + "The `pandas` library provides a great amount of useful functions to work with tabular data. The pandas-equivalent of a dictionary is called a `DataFrame` and can be created from a dictionary by simple means:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "68961d9e-2ac2-46f3-ad86-a9a91966facb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " key1 key2\n", + "0 1 Monday\n", + "1 2 Tuesday\n", + "2 3 Wednesday" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.DataFrame(my_dict)\n", + "df" + ] + }, + { + "cell_type": "markdown", + "id": "97a7ae41-46f3-43c8-9d2c-0e52c6dcb7dd", + "metadata": {}, + "source": [ + "Accessing the data works just like with dictionaries:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a02d463a-430a-476d-a669-0159c61d3a8b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 1\n", + "1 2\n", + "2 3\n", + "Name: key1, dtype: int64" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['key1']" + ] + }, + { + "cell_type": "markdown", + "id": "4d43ccd8-57fc-4d56-ab91-0129ecd19278", + "metadata": {}, + "source": [ + "## Excercises\n", + "\n", + "First, let's get some sample data from scikit-image:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c1608e10-cfde-4215-84df-0c561e6d6ac5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "image = data.human_mitosis()\n", + "plt.imshow(image, cmap='gray')" + ] + }, + { + "cell_type": "markdown", + "id": "083ff201-acab-4de6-a757-5d079c7c9b50", + "metadata": {}, + "source": [ + "## Excercise 1\n", + "\n", + "Apply Otsu-thresholding to the image to create a binary image and then create a label image from the binary image:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2b3f9feb-fc38-4ed9-9e47-765b337824eb", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "608e6135-c74f-4953-9eb1-c3bef6409ed5", + "metadata": {}, + "source": [ + "## Excercise 2\n", + "\n", + "Use the `measure.regionprops_table` function to measure the area and the mean intensity for every object.\n", + "\n", + "*Hint*: You can create a list of measurements to be passed to `regionprops_table` like this: `properties = ['property1', 'property2', ...]`. You find a list of all possible properties [here](https://scikit-image.org/docs/dev/api/skimage.measure#skimage.measure.regionprops)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "accf79d1-c295-4877-9adc-457063943f96", + "metadata": {}, + "outputs": [], + "source": [ + "results = " + ] + }, + { + "cell_type": "markdown", + "id": "2c4d1be3-9f56-43e1-9fab-8d99047f60ad", + "metadata": {}, + "source": [ + "## Excercise 3\n", + "\n", + "The `results` variable now contains the derived measurements from the input data and is of type `dict`. \n", + "\n", + "- Use the `dictionary.keys()` command to print all columns in the results variable to the notebook.\n", + "- Remember, Python dictionaries can be accessed like this: `value = dictionary[key]`. Use this this to print all area measurements from `results` to this notebook!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fba2364a-f1cf-4975-bfe0-734a921f9606", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "cd677b97-5b0e-4cc3-b7cb-5083df882f73", + "metadata": {}, + "source": [ + "## Excercise 4\n", + "\n", + "When we obtain measurements from image data, we usually want to visualize them and do some statistical evaluation. You have already learned to plot histograms with matplotlib - use this to visualize the distribution of areas in the image data as a histogram!\n", + "\n", + "*Hint:* You can retrieve the `area` measurements from the results as described above." + ] + }, + { + "cell_type": "markdown", + "id": "c39d79c7-e8f7-4ee9-a2e0-4363db5ebf7c", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "a27c8b12-fa4e-4c33-b839-c1b30d91a56e", + "metadata": {}, + "source": [ + "## Excercise 5\n", + "\n", + "Lastly, calculate a mean and standard deviation of the areas of all objects in the image. In order to do so, you need to \n", + "\n", + "- retrieve the measurements from the `results` dataframe as described above\n", + "- Convert it to a numpy array with np.asarray()\n", + "- Calculate and print the mean and the standard deviation from the results\n", + "\n", + "*Hint*: Numpy arrays have some convenience functions attached to them (e.g., `some_array.function()`) attached to them - see if you can find out the functions for the mean and standard deviation!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c0a2ff79-ca4f-48e7-9d67-1865fc9ea0c6", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 76fbc2f04f746690b8aeb57d72ee4a64dec23524 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 16:35:14 +0200 Subject: [PATCH 04/19] minor formulation change --- 05_feature_extraction/03_Otsu_threshold.ipynb | 455 ++++++++++++++++++ 1 file changed, 455 insertions(+) create mode 100644 05_feature_extraction/03_Otsu_threshold.ipynb diff --git a/05_feature_extraction/03_Otsu_threshold.ipynb b/05_feature_extraction/03_Otsu_threshold.ipynb new file mode 100644 index 0000000..ef3e012 --- /dev/null +++ b/05_feature_extraction/03_Otsu_threshold.ipynb @@ -0,0 +1,455 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "def9b2af-387b-4dda-be8d-01d889bba574", + "metadata": {}, + "source": [ + "# Otsu's threshold method\n", + "\n", + "In this notebook you will learn how to write your own implementation of Otsu's threshold method (Otsu et al., IEEE, 1979). It will allow you to apply many of the previously introduced concepts of Python programing for image data.\n", + "\n", + "## The algorithm\n", + "Otsu's threshold method selects a threshold value to which all pixels in the image are compared. The pixels with gray values below and above the threshold are denoted $A$ and $B$. For a given threshold $t$ between the image's minimal and maximal gray value $t \\in ]min(image), max(image)[$, the method calculates the weighted variances $\\eta_w$ of pixels in $A$ and $B$:\n", + "\n", + "$\\eta_{w, A} = \\frac{n_A}{N} \\cdot Var(A)$\n", + "\n", + "$\\eta_{w, B} = \\frac{n_B}{N} \\cdot Var(B)$\n", + "\n", + "where $n_A$, $n_B$ and $N$ represent the number of pixels in $A$ and $B$ and $A \\cup B$, respectively. The weighted variances are then added:\n", + "\n", + "$\\eta_w = \\eta_{w, A} + \\eta_{w, B}$\n", + "\n", + "This calculation is repeated for every possible threshold value $t$. The optimal threshold is then found when $\\eta_w(t)$ is minimal.\n", + "\n", + "## Steps to implement the alorithm:\n", + "\n", + "1. Find the minimal and maximal gray values in the image.\n", + "2. Write a `for`-loop that iterates over all possible threshold values.\n", + "3. For every possible threshold, retrieve the pixels that are above ($A$) or below ($B$) the respectve threshold value.\n", + "4. Calculate the summed weighted variance $\\eta_{w} = \\eta_{w, A} + \\eta_{w, B}$ for every threshold value.\n", + "5. Find the threshold value with the lowest variance." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "be7791c0-c596-42fc-ad8e-e739ad3b45d7", + "metadata": {}, + "outputs": [], + "source": [ + "from skimage import data, filters\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "d6f0986a-4119-49e1-b9ae-39e33bcbaa48", + "metadata": {}, + "outputs": [], + "source": [ + "# We will use this image as example data\n", + "image = data.human_mitosis()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2786a8ef-ebfc-4bc6-9571-6a8e07ac233b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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bAMjxOSaKkOueS+vUPAd79tR8lBgwr17TGAyd5dHtOaBILoUff/qwLTEvN52EVQ/tMl97bcAzimZ4eOVKfEUkAz+9ZYVw05x+JquuYVU1arH2pKwgqt6/UykrhKqCuPK9KYLXtCb92iPO/40WVsNevIv/7BR/YBlbn6SWjb+UoZhLYRrjgoqjcXVQscpKWIK5WSZfLMWQWQ3F1XgqWqPqNWRnG1sLUK9Osb2+w6Abi73uooIAa5uuCGUUuRW18CPaJHFIxiUoxOlDl5mCOZbCwZLt3Jg2jpQvCXhVBdbWphytS4Gpdgv2dpDxBHN6jjU3K6DZaMy3kNvUSlRttwzs9NbiDosnnX9dVVzlBlC9fzEzoRRpw+FRrEBa9/CB5quY/8vv/y9472kWfDZmeQpTFeJIRSWwKvPwY5mVKMkCll5r9M420dcfMNkLsEpoHNVR3/nE4Q/EmV7pySmq10NEuYhtVcVZhoQsT9aiUlDbW9iDXUzdRw0j5OVrhztg+YM798DmloVWzp2xtrIgasEymY5l0e3IMyuq3SL9+iMmeyHeICWM4oxf4hY3+h3KphWrq2INy6DUy1CTNxxgdTDytvGF/DrimPDZOZ3ggKSuCI4H2PGY8Nuf8o3/uIHt9rAZi1M5ozBVFGk6sx6qLAEpWB05uvLHFccwlQpzTUQw9/cY3Q9JA0ElEG2H1Gs17Hgy2ydNXSaiTNAxrVWoKKgpSsbdYN67hwk01hPShkcw2HJl2sy7GaLVLFhULvWuhcjDe5hOHRnFqONzTLc7V0dRPI4EgRtakjiFVhG/EK3gYJdoyynHtObYgt5Ybuk6rD7keqWQv162/TuNK2yStrzNYa3FHJ9S6/VdNmI4cpM3kJlSyNGsBYshFymv/HlAUmskDBy9YWogznAufyKyEkUp/EDWWlR/hIpbU749u+rZKNfkK3HowVrNuSv9wVzgZypKkK0OSdMnJ69TkVnU2hkjFAe7ECfIYIQdTxx2IjMr1cEe40dbpHWFlTq1ho/+4QyoNX24laD2dknv7ziarush8voUMxpXWg6IKx0XYwkuxg62vWTlXXVPy9fzWUo5dTkbxkxJlKsxV1kQb1Xewr2waYrt9ackLvYrT5jcb+KNUvxnpy7oXWCCWio5pVvgIzvbpLstTM0HY/HOesjpOfZPnGIoirFIf4g3MqShwhsa6kcDV8G2IjOQPzSq0cB8/TFR263K4XHfuQcFFqe5/VJLWtdYAT1KsL357STw6f+Fr/HqLyrqx4qtT1Iar8Z4332KGYwQrTGNGsYXJLGYmpC0ArytDgxG0+ClKEGFIcmjPcdzqQXV8gmMQV4cTTMZuVhrkdNLaqGPWIu8PMVc91bn5+dvyGbbfcayDj5ddN3eeln2/EmrP6861jJFXIw3AFKvMfhKh+4TD7GWfQ7wuj1XbFWwFqaxhiJZDzhX9HCf6LBNWtMO6GbBhNuEown2uvtjXF25QpxvDabbo/7hGcFOEzWM4OWxA3hQUgrlVVEJsrPF+KCGpBYTKMyTDjVPIT/4ZFpjkVds2strvE4DCF0x1cXA4QWKGRIAAbMfE78X8fJbIfd+q87uD2alsmIt1hMwDjdhFdMVYG68WmPqjmRGUkfAYdoNxPdn/IIFqLfpdpEfOlSnKRDOvKWbXT053oGrAYtxhvKEroolrFIOt8FBlA5QHJz7m2eAPA+UzAr7VrFXF5VDFBOeTQi2NXEzQ/IWr7EwofPaiamFKq4ux3TqpDVNWnd8DyYQx+TklZTIDeSLrRgKcQIbJ6Qvj5BX4vK5WSCvqvJx4TBaYfzMz8tSfNFeg7DZcGQshWOY/gD18QuCpmPSKaY1JXNJVLtF64dX3P/vd7n46YAQaL6KnP+YFXXJy9fUfU28UyNpaLxR6sg7Squ7TRL0MCGteahJQtJyFGHieY7Pb87UnkGnZ5+9RWanZRWF78jSWAXuqkJKll+XZRkOYq1UkcbmJfHialXMvV2sp1C9MZxewGg040OoEmOxWOxkgvf9T9nrHpJ0avivrzBRXAllLpdkT1GQwwjphEji9vGGFh0bxz1yS5DTF1sxQCGF6bIJuabeeKU0FukNUNEeJpQpPRYCKJ099IWaCmVcrCCHLRcDimGIPLpPfODMutp5zHv/NMU/usJedzE5LsIazGCEenZEEB3gBx7q9Iq02128vChCn/dgr43xFXqSooZRZQxkOiky3H1+H3JWq5vI21Io7/o4ZWtiWVZiVZoz+7B40EUlUPxbFKUw+zvEO3WMJ6h2SJhkNS35AgXzBXxFMRYzHCIfPUMrhYGlAcPKeIMxcHzmSHs6dRyYL0F1h3PI15vKF18xVAFMqPY3yw/WdKJ3e9Rf9ZkcNBzwCfCvJ5UsO0W04uwYrihK7WwTPehgPIXxXBCQYeKUQn/g/MYCIMv0B8jHLpuRlqDT02OLi2JrY5BWw1GDX1y5bEvV7fA81N4uZn8LrEW9PMF0+2yar1y7it7QOngTpVBVjVn+ftX5lgUuK60LWyiDNhtcY4Gg1zQyRK1y1qYtm/DFcVZhZDLrYd3KXizFdsdyeAY7GjsimOOc48E6/E4ZCXkD+eIrhhWRdPELWnoZM1OGGpQfPaN+0iF9uIdMUlcNmZn+VSmzhQdViWP8VUIaugCQP0zwrkYuM1AooqqCQq+6PhvFpEfHWSoqnbJcLwTkMozF6CcfMDrw8caWdmIcM9UavTCHmbgJP8E7iC8swzCUrYZNUJSrXIwFxZKm80zcK1jCptdtDGqSoAKNWFBDp7gxZkEBVKUf56RoXZSClGWZVlwWP8ut5KLiuKXcLcWwAVP00l0LD4IEAarTxrYaLkDTG2C6PQcbXmKO2vEEG1/AxeXMd7/JBDEWGYxQkyYekIYaPUwcYWtaDZEumrmrrqscO1i6vRJsp0XS0tjiorUGMwDMinqUmrJirYV2v6Og47raklzWuRer0KNLJZuQ034QRfBZVXwqSVCvzgjaTbdtr48djjIS1pl1UOkGFMdiCtuvUAqViqWsAArBSXIy2BvK3VIMt1EKpRoG1WjA4R7JbgsTuEYdKt7CP+7Cpy8hSZY/7FkdRvVXdrZNxbmxBnN2jhfHSLORdQC6nmNiWnncNbJ2goJb8c4vqb9qEGRMTxyfLT1/7gJJ4KP2d7HNulOkgxHm5Gy+VqR4rs8prbnKYqhSEsvwDeuCjyKCtNuYx4dImqKOzmf9SNwB8pO6t73e1J+fKhFwk3vOjVCIMS4DlUtxzOXXZQunbHHkre8y8FteqYnS03FO29j9SUtXTqPDedBtf5f43lZWKJX9M0K63UAduRTfMjTdKtO08Gbh3NMHMK+1uLpeTxN/o0tcs3+emTEWc91F/fEY7Xmuc9cSK2m6q3a9Dc1O28VXJKsAvPKrFUO5cCx/fUtlcdPg5DorYZmUg48rFwcUbLWYHNYxgcLfbRD+6LXrkZrvV6yxKZbLV030AvhMaqHLFuQ4haqYQ3GfJSJau2B3q0nyYAc1SZDBmHS35SgCU4OkFn1yhc04Im8iX2zFUPKHRQTre1gB46spOhFx9GmLu9+M1bjwgTv3spx+Wny76gEsXEfF2PL9146ziALN3CKoDk7OHV8clNa2XCcjwPnLq1aXVdd+C9nk/q+qm1i27Sa1FkvHlFHzqcRifIi2PPSjPXSvPyPZLUpFvGnxM0cQbLccL6f0Bi4gvQ7zUBxXoaBKAh/75B5JK+T455q0XqbUzhukdTVNW4oFX7bxJhG219/oHLl8sRUDLD6g+apgHMW6pBZJrKumLAdrCiblAghq2fErh7Cm6nH+pGuPOV9vkb+ssD425QWo+C4HhpGmyGiCHvnO7Zo4CLcpZz1uU1X4jmRThb5su00QkvbyCm+wRRooVIJ7rvJS9uJELnBezEmFcrCtBuMnW455bNjBP+vDy2OX2ixuWw4+VsUcPM8hJt/z6H9gUImmdp6AIetCBTIxWP92IKcvvmKgMDFTg7rqoZshxtdI4jrz6Msh9tXxtGptbr+cXFPsLNJfFY1+iww+q44zXcmVg0NTr7khZPUbUsBUTPfflIOw/F0GtsrToaoeIr3hFKs/N6k+R7j0pq7GOuj0quPPbWcNZjTGe3aCGm4DoM67mMlk5uMv44kspyaLojXWUyQNhQkUadihPppkXasLsYny39JxrLUwGtP+9gl6vM/2x0LtdQ81jIgPW6ShRo0MKnYdy+ywgg1qjfxYKIYiNiC9uEQZg+q0kNQ4Qthefx5DADPegu2OY3q67m6c768sh7aL/RsqMRTLJnPhM9EKdf+Q+OEOJtQYXxEeD1DPXlUHM6uCi2sQirNVs5AO1RqTVW4udZ82Oc/nJKsg0+XPqjIWc2KsYwnv9tzbPCZQzlaVC/LIMhC+76yLNM0o3w1y3cPvNrE6IA0UWski5iGXksWxEHjMCIfrvaxJUhZDCHpDbC1AxhF2PMZMoupeKmvkx0IxQOEhSFPMxdWsP2UJ9JS9cLwFX33oIMaA322hPnyO6Q8WJ8WUmamwf73mVvM0LTR4yVKLecWm1i7Tkqbz2ZBVk1YUstVh9PUD4raHil2NxPh+k3p0CB9/CmlpdVxl4VQpkSxgmt83SF06dFVH5GVWyeegFNYFiasyF+uqMCtO4npyrII1z598Rt3WdJkxqzUyzvqc9l3K3H+mUdEuad1HDyO47ldiHhaCmFrmlIPrPhVnZEMyzTrYjEj2zcLdX3TFUNTSc6CW6vz7NCqd8RbEnQDjOyr6aLdG7XA/41WYix4uuBGqXoMHh9jQcz9+nKIvu1nUWiG+h7RbsLtFfNjCPx3A0xdL0YpzikcJdFqu87ZLoyPGBZKK+eiN4xnl61gykW+UHVinDN6hFbFqnGVYdNV3y6Ty+9tUpSqFdNpE+y2sJ6iohm7WkBfH2MGQ9OwcubrG19pRtpWqKOekaP3kLe/LyqGCan5uaKVeFZvK3VEMtwU3lVZA99Gam6A1phFgPeUq0aKsqrJdW9y2IqgkjTqmHjjNHLrqRxvuoIYj7GSCvP+I8z+3T/drwvhJRP3jfb7yD7uY8elGD5skKSqx6LF1GZXEoiKDnF9tzt9Y9oGXFUBNN79l4PQmRVWbBktXDqHaAlj2/bp9Z0O+ZcWlO7D7a5TT4nHi3Fjt3ECp+3hbHbcwRLGL3+TxrlXnLQUkF4qomJ/wxe/K263kdaiQu6MYbol4BBZ89IXJV0jl5e6GGkaouIbxHdW8Hqeo6yHGmqVZibx2Yaqx84ivzcbveZAknP+b+5z91bHruB0pwksWMiILY84lTbGXVwRnDWTH5dH1KMV/fY25uq72/8tSVQD0NmQTpbBs8r/lAO5NayiqCqnKiuWNlEP+jKUGc93Ff+2TbjUdIzlgczav8jlWoBynUmE5rFQIt2h7X5a7oxjehpQndGmlLGYv5OiEIPBQnRpYi3/cxb44mvfblwT1bK+PajZIt5qurXlqUVmwhzim88mY0e/Xab0y1E9jah+9wFx3549TBa/NHlQzGCEfvyBo1F19xHg8LcLa6B7kLsMmk7EqHrHppF233RtaB7eRTaswy/ss+25jKTwrdjzBvD5BdeuON8Pa6bNRKTcFwCnlIDrGzDNI5xRvnuee0zih3E17U/nxUgxFqYgWF7MXZjBCPvwUv9EAk85PvGJgrWKy2DTFHJ+iegPXXDRJMIPhNIbg/d4PefKjltPqUezQh1XIsxWRfjsaVTYd2chaqLoPy75/k1W8SpF8zjiHm9ZTlLd9S4PAxgn2urfcGliGeNxEtHYNiuKk0NcSR/G2veWg7daiLq5dRu4WsvYXE5F/KCInIvLHhc92ReQ3RORH2d+dwnd/T0Q+FJEfiMhfu9Wo3lTyFbMi2FbMDNjJBHN5ibnuuh+yyqSscE9Uq4k62ENqIbbfJz2/dJM4c0PsZEJ6eeUKakYjbBRXZxByxVNcbTK03rJ/b3QfNp2g5aBl2b3KP6865tt0Xd6CrMI1lLMYVTGJW8PZ83tm7OI/uLlSyJ9Nz0Pu7WO+8R5qe8tZD3l6dHeH9GCLZKtG2qlhOy2XGbtFEdUme/zfgb9e+uyXgd+01n4D+M3sPSLyU8AvAj+d7fOfi8jt+aWqZAPzVbJUoWjtMgQlnrxVNRIrV43pCinunzFzJdBz/+IEG0WOjafsAtx2Bb3BpFt6HcswD/M7zx7sZUpl2TUsc8E+Y6lyF8pKoRy0LPM/vI2YQ+W9uKVSAJB6jcn7u/Tfb5A82sso5VwhnGnXSRse1lcYT2Fr/lw/i5vI2q2ttb8NXJQ+/gXg17LXvwb8u4XP/5G1dmKt/QT4EPi5G43oTaQI4PE99KP7qK++h97fdQqiAuxStBKWPgiFyWGNxfT6mKNj0uMT50KsSJ/NH0YWz3MTJbEEKTn9p/Xc8Tc+X9VkLj7Yyyb6MqDVO3YdllZFVgHKmCmBZdbXqvLst+JerLqHNxSp14nbmtQXot2aq6YE5wZbC/lPYCwySQoWys3Of9sYwz1r7RGAtfZIRA6zzx8B/7yw3YvsswURkV8CfgmgRmPzM6+5wdNS4naL6Mme+2y7ga+1a2lvZuSuc/u4FwvnKEKUAfI+gTY/RkWcoBKa63tT7U4czwOebjmRimMrHtumi+7JBgfLN14c09sKRhbGfWsTndXXU5VtWJfCXKVQqrbZcJDFQc1/vsl9Km+Xj6UekgYqYxifAaNsnKCuB6iaj9UKPYqR/jDrxPb5Bx+r7l7lr2it/VXgVwE6svumQK3ZcY0rDnJRWjCeAl9hv3aI3+9j0sHcg4JkjWFgBnmduyIHaJK9HQdfvephrq5LDWOXp8cAJOuUlT4+wAQa73IIL147wtA1D3nxuqq+k8BH7e5gGzVs6KH6Y8zx6ZR4tnycqmOVr3fpQ+12ng/Olj9bcx3lz95EQZSPJ0Ew5bisklUFVVVjW/b+xlJUtre1pvK0pjGo2BJGhvD1IGuP6I5vLq7wJhF4HnYSYcZjPutu18ci8iCzFh4AJ9nnL4Anhe0eA69ueY71suImW2tRowTxHde+RPMPr2SrrNrewu50IDXI6cUcJFq0RjXr2McPGHzQAYHwrI33nax5TDYG8T1y6HNVK3tVr5G8d8j4sI7VEISaIEmxT19Qrs1YeAiziVq5ymqN2t8l3e+4qrpQY0MfPRqTnl3MHWM6RmshThbjHhUFViszDBs87JUTqrT/m1oPxeNK4EPkskarshPLrIni303qLm4lm1oMy7Y5u6D9Xe2esbOLKXJSRCCOHdYljycULYXPqKntPwH+FvD3s7//uPD5fyEi/wB4CHwD+Je3PMdqEYUK/Iwtybrof26eW4O97uK98jG7bVToo66HrjV8wXyXdpvoGw+Jtnz8QUKgFfLJaDZplOs8NXyvTdRRqNiimxnvf2bCq3YL++gQE3p4Zz3M65PpGKYPUr2GqbtbrScWiQ0SJ+74dklpsOfN2tJl6c7yA60CPaWvQ+O4KvO+A4WJq/d2mPzEI/Q4QV+PkAsHlpqrjajKlrgTrVYQS3+eknuW1RFAZpmhpwr0rSiHLAWdB4IXv17uTqyyzIow61tJFfL0DbAjNorhxZF7U0hVlgus5npb3gI8uFYxiMh/CfwlYF9EXgD/CU4h/LqI/G3gU+BvZIP7joj8OvBdIAH+jrX25qVdG8CjxfdQD+4RvbcLgP+6B89ezFKDSUJ6eobq9lxX6tF4npFICdKsO+JWXKMPtd1A+z5EsXsYRLCNGkldYRWoFILL8RSvoMKQ5FtPGN0LietC8KBOu7BaT33d4Qj/pI8kTTAW/+gSc3K2NDotnoe6d0B6uO26XV0N4cXRAqOSTVPUcIz4GiuCxCkSxXOkHFILGfzZ93j5lzysCmg/bbH94Tb1f/WRS9NWjWFZarL8uuo9JaWQmfjSqDslDtiea9LzNpvhuHu9HhW6ClJdVAA3RkOWMS/rArY3UQhFzEPBClhZ/5BlKqRWA5HldTpLZK1isNb+zSVf/ZUl2/8K8Cs3GkVZ1mk4UYjnkdzbYngYgAhB3aN+fumqKq3rNYFJSOOk+sc11rkPxtUiWA2SdREqXAvqqkdw3cEbK2rHI9RHL1xDGyXI/i7DByGpL6ShYCYCYbB4T8YT+OQ5+oUPxpBWpTCtyaoxnSUTP9olrXkYX1CtgNpgRHpyRu565NBue9VFPEcgIpMIe3mNyXteAFKr0X/kkd6bEDZirnZCrAQ0/sBfOP/SB3rVg15aActKQbVbcLCLaYaOOs5YVLuOfJrMLJa3FLGvykRUD3k1Lf3cddxEllld5e9vigTN4wuUlEFx7MXMirh6nvTrjxg+qKMjQ/1ZbzG3uEK+uMhHa5FJikohqYEY6z7T2lGyFzRyEdRU/HHMxSXhUZ14rwmAd3RJmiRTxSLiavJrvx85rTscOb4CnMWS7LexAlZB0LfoicUW+BKmD5d1NPFlopg5KZrc7SZpzSMNFSo2jreyWZ9zPabw6f4AmbjVwGS1/3OrXRwRXhls7K7HqyeIDeYJR6oyEMUU2yqoeXGfomTpU7Y7JLtNZ/mMM4iutaDVm6H/KmTdhC+mLZd9V1VglR9vM4xLSSGUX28Sx1n2edW9qhqTUrC7TfcrDeKWgFH43frysVfI3VEMhRVn4YerWFFsnKCev6ZlDon2G4TPr1zjjfJDu8QstsbBlXn2Ev+sCSYlzQOP2VhcD4cUouvCMLP4gjGocYzxxLW3w9L+0cAxBpfM0LnrWRfB1y6AKNY6erpAucrKKF6kCsvN54KLUQbt2Dih/XRI/Wmb0WOFd63Z/jB2FOf5tVa5Cst84aqsxMJFKFQYIs0GNnDdl/GUa7OXGNQ4mRKLFO/rSjdgg1V2UzdicbiL2IUbuxJu49UZnU3TlpsohVypFqyJ2f6CxAlBzyDG0Qr4J73Nr4M7ohhEZSnBWojU67OovlLYwYC021/QvDYFc91DRmNqxy1sXGGerzxnXlCVQpZhcCnOzfo82BTUyxPa7RrRlk/tdIz66Dmm1Gh2QSnkf1cph9EEMS10ZLAi+NdjzPllZWBt7WSIYtQPnvHB5R7xg230eIT65BWmog4jG/jiWMvfLxn/dBIpR1Zi200QQQ8mJJ0a1lckgcYqwR/tIK9PsBW4kpXjuoWsS40WrYF1wKeVUlYKxYBrWmF15fvc5trycRbHlSsJa7GXV7S+K5h2HXU9cOzlN5A7oRjwPeSDx0zutRje95EUgp7jJKh/5xV0KwpBMuVgR1mfQAo/6iqfNccdZCk8tbeL2eu4hqSDyTRiX6SCK7siuXIw3T76jz6i4Xmu7qJA1b6J1bN4SRaiCHN+iR8GrhehMagXp1Ny1qrxLDmYG2uautTqszH6+StHWVZWMOsCZ1Ur34pshWjt2K2ySZE2Q5KW75rgWAAPtddGXVyuZo16S7Jssi/8vgW5MbipBEYSz0N12lALXSFd3vy4CGq7rVIoStFiKC52Y4M9PoXjAi3dDeRuKAZjYRLh9yJaqcF4Cj1KUFG6mg8/e4BvkfdwgbFOm+iDA5Kmh1WgxyF+I0BNJq7akjUrmc2qILMfeVVKrHLCLZmAdjyBZy9QmfVkJpNFa2GV/1841uwa0uV0luV9VimKJWm3YjwFY1zvBN+DJJ26RVY71m4VpUiczpnHbw3PsEZWuXlVr28chMxwKzw4JDpskdRc67rasyuXWUqSRbegKo1Zcdyl8ZiicsheW2uRvHPZF7XbtU1izLOX8FzwCl2aMZY0Td9a1HpBwsChI31BRUvOsSRgNL/apExrFQIX7Zesx+TUvSlPtFUBvDxY2eutzwgUj70sP75pamxd5qG87RKLwaYGc36B9ENIU7xhB6v2MIFGrHUdu8+z7t+5cn+HSmGTDEWVO3GjWEN2P0QEwpC0XcMqyagDLaZdQ/mes0QVs5Z365TCG4CqqhifNpU7oRiwTjlkL1dPhjc+lwG0A0X1B+h+B18JWPD6Efr1JekgC8xV5ZwL0XqbMlsxvQxX8WgHRPC6Y9SLY0y3Px/7qIpYl1b3+QdyycSpepjWBb9WfbdMVqUvqx7m/N4U0JVyeoY3HCKNhmMwHo4x5xfzfvc7lHUxo/L7shtxk1oTay0MR+irISZo443SKTvYja63tNDYOKm2NvKAac7qVAU/fxcAp89F3pVSmB5+FiNQP3pO2GmTNyRNh8OSUlgCtipMQtEaaTUZf3Wf0YFPEgo6Dmlt1/D/8GMHs76Bu1O1SlUBcrKNl1sh+ffrZJmVscyNKO9HhS9ujXNdRGFtiu32oT9wD7BSc5Pks3AhyrIK81BGO27sTuQKJYrg6IRgMHLu1HiCGQxdgVvZrK9aBLMYhTy6z+TJNlYLwcUY9fzEcXyUg+zGzqyQcpq1yO50A7mbiuFdS4ZTgCwwlwOCcj9+7uEvPeyw0qKxCowHOoa44eGHoWtDvwkaruyvZ5wSOYWXSKYwdPEalhyrSsoKYJP9VimJuc2WTJ7iPllVavlYb7ug6qZSDBivqsBcGogs3ItpFiKKHGs4zEhWtHIoUMn6nFZ10c4yGVKvET3aItpy8a+k0aAZ7SLZszpreV+6Z1XpS+UAgTeRHy/FsOrBL0spw7AQpS9uV3WO0jam16f24QmSHpA0NXpkCF/3sJlScOdY7yLNZUzuH5JuNVHjCHntuk87Rp4M4rqqc/ey+7AsaLkm07BwzQuHnZ88lRbEinF9XkoBFi2GZUpurfJLcYHohYmZwcLvH2A6dayIy4CdnLsg97Jrt26hUbF1LQTidIatqVIIy64v8LHvP4Q/WLrJgvx4KYabShHstEwqTPMiI9QUSWcS0pdH+KfnBIHvAnDF9FTxePm5l4kSpN1i+M0Dxjsaf2hoao0Yw+R+G5Uagg+PMecXi8phXXxmk+zIqvcrgpnlVO0mgbvPUyFUjaFKQdwoM2HNrOltjmNQCtVqMn6yg/XcscxBnQYg48l87CB3C0ZjwmfnqHiHNNR4wxhOzrOuVmvuWQHjICLw4JDLP7X1J1AxrEOYrZKKVXIRDrt4/NwsdD0CoqmCsOMJVBSsLBTorJnAohTGE5KaoFJFulVj8DCk/1CjJ5Yd/YDwd/uZr54uBEan92Gd+7Nqm1Uxh1XBy9I9vQuTfxNZ5dKsdSdmB5m9zia5GIM1Bj1KsJ4ibnkOwp8rznKjXHBp6pMzvKsunufBZOLS1jcVrRk/6hA3bhaA/OIrhqJ/V4Fvn26zYUBTtHYIzMDHjidZfUMh5ZidTz28T/xg25GuPHvp4NjFbVZMjtkDuGSiGVdGXj8eAXXEWrzLIU1rmWxnFYpzyQhZVDZV2YpVymHtjalQGhVp3KXuyJvIWz7mpgpg46xE+brVYscoen38p8eYwx3UxEMPImcBWLsYkDTWKQpr53E8VeNYhm/IrZ2ska7cUDd/8RVDnj/OfXOtwPeznpLRRn799Bhao3a3sQe7DowznMCrY5jMxyBEK9K9NuODALXt04gT5JNPFzELhWMX3y8NGhZiHmY0Rn3yisboAFv3ITV4J10OhjFp3cd/fuZcFVasyOV4wrJ4SXGMVa7OsolZtd/bVgrv4JjLgGirMhXFz/Nt50BdWVxIGnVX6qwVdjB0NSlZXCC9uESuuyitZ7ECWA9cWqWYyttUAJ28QYKe/LgFH9dxMxQeyCkFWz1ExpGjOBuNN/K7RQmqWcc8PHBMSEpQnkJdNaaQ6+mQUoPqj5GkTtzUxA+38F4Gi30gysCjKlzEsiFlzVEnh03ijsY+aaAii99PCF5culb11mVQVhaelSd/Ob2Zb1Oc5FUKZJVSqTpGcRybAHmWyTLLhOrJexME5aoqy/x18W++TxVxi/ge8vAeyWGHtOamVXA+RD55Oc0qAQ4CXoaBl+99yXpcOvGL25S3zyVNCT4+Zu+ivfJelOXuK4acjmyZcpiu9grZ38W069jAQ4GjbaviPpg7fsHaqNddH8r8xoq4xh4l3IBNcXnq/RaI70hSPO92pvoKpWV22qShQhJAW5KGIq35qHgL7+xiWsa9cWaiSjGV4xLF8d4ET7LOzXhbsiZ28SbxjHUWRPHvnMWgNWpvl/iwQ9z2XUVsPHMjKiHJyxRl1bNSDiYy70quC0aaq2u4ul65TVnulmJYCiZaw+akBHwfWw9dP8nEuL+NmpvYabpyAk5TlkmKmiSYwEOsRQ0yYIrbqLgDpj8g+PgY9WjPNTBdpXzW4ReWSWKw2l27iizGs3gjM3sQ7JL6iXVSFYuoUhBvQ1YFhm+z/zuSZYxOUJ21mAOfaY3tNDGhq4vQo5TaUR9evp4Wvy21pjYdn58VZfm+s0wnUTVgCuaCmjnj0xeziCqXW+K6rckKRqIY8dT8cbQGVhCkFMR0u+hXGrXTcUrq7GpGiVVSLDZNSY9P0BmNmllFwrL5hWR/FKQGdXqBf9AgbrqfKbxK0OMU/+iStMDSVNy3aqzLznOjfVZJlZv0LoOR70CqqmKX1UwsWCXGIKMJalzD607QrzNXL06W39N1MZtcMmi02tslebCDqXtI4oLRvDqG8WSGeiztd5viqVzulmJ4A7FRhFxeI2oHmzXhyFdyUVK9opd8VSElPbtAcv99Db+DNdbRqCl5+yuuNZira4Lvgn9v17lH3RFcdkm73Tmmpqp9byTLYgjLgpbLzrMqFlHe53NUFjeNTVTBpee+txZzeo533cWOJ6QF6v4bDmzJ54KtBZhAk9Q9sBYTtAgHI2yUYRvyOEQ5lVr12QZydxTDBgSwK3c3FnPdQyUJqtXC1gIXFU4LD2LFj5XHF1SgpsrARBUKYckksClLmZ7f4GLIOSvN+QVcXSMimEIjmRufb5VFUPX5OvxDVbByFYbiDsm67MOyupSl+AVjHZYlitwkzZGk7mTFE1daBMXjVErqSH7FWEf1JyBx5lIW50yVUsj/3lA53B3FUJabKIo81ZdmXatHY5dHLkwk9yPPm7aSF6tsdaDdRCUp9uIKMxqvZ4MqTIbK9OObSiF9iUmWdO1ZYqZvgm5ctu0qwFM5oLjOTShbHcUJs+4aPiNZ5kKsUgrVcG89F/vJdqJwgNnrZat7OeNgDRjHUG7OLvAnEV676Wofuv35Du1FeQuL1N1RDGUlcFProeiflybS3I+YZyHAlUrv75E83MUE2vEEeBp5cTQL7G1iEm5iUpe/L+63bAKu8tPf1oRalkUpu0arLIfyvuXPq5TUHbIi1pG2LNt+TsrPShWuoyrVCAtl0VMUZL6vsdgoJr28QrLsQn6EpXGEqhTnDeTuKIabyLr0ZS7Zja38kUUhtZD0YBsTOHSYMRZp1hxAahVz1Nrx3VCZFBVA1XfFv1WrcFWG4W1LletQHM+y78rjLFsNn7GCWFY9uem2S2WZhVZAQ1aew/OQRsNlz5LEERRHUTV3Q46IXDfRl1kkN5C7oxiKk30tqOkGLsbCvhm6UOMyFgoHF83ox2QcVyMY35ZsuvIuk02yDevOe9N4w6rvlimF8rmLf5ftv+qzz0HKLsNG8YaiiJojUkEpB3bKJnfeWCi+v4X1FRIbvOsx8voUBpsRuyxYG7ZkJXzhg49vEHi8kRRWLzsYol9forbbWF+jukNsRlD6zgp/3lTZbJpWLG+3yrRfl5Uovq+axOtcjrLyWGUxvGWl8Da5JMtFVAuYhmUB7oyJSbY6kBrM5RWkKardIr6/RbQdZPSClqThUYsTxxFSbrJcujeOt6GO1EKsMW6fJJlDWt7Werg7iqEo71pJ5AHDJCE9OUMur0BrTBzP+l/eVVnlNpTBSjdxLVYpkuL7VRN3nTIquxFVx1r3/Q1lU7ehLOtcjqVsWuXjZFZBsu8WH309RgZZH9VOCxO4En49sVgB4ytsPaieA2Wl0G5jHh9iGj6SGvR5H16fzjez3aTeokLunmLINd1noRxSQGx1BuJNVvY3TL1udo4VK3zVZFu2fXn13iRoWj7/TTIjy8637Bjl870jC2MVHLq4zfypq2NX07EqQW1vMXl/l2jLw2ihNY6n7M3uOcFB8LPXemJQvZFrg1glOcNTEGAf7GEaDoJtRYNpos8usXmbxTdY4O6eYlgaVLzlZFu33zuJI6w2Ld+JrDvPuom3TpZN4mXHqAqMLsuArNp/3XZvye1YZ0mUXYilpdvlexQGpIEiDRRxQ5gcNKg/y4LbZ5f4jRCoY5Wj1g9OB9isvf1KVqZGnbTmTxdS1w2N+XucWwpfaFfippbCptt/VrGLKvmslMIy/33p5tX3ZMrpkB+r6jzlmEL5vOtW+VUp2MUBfSZByGUxgyk713Q41QjIleQtUYw3SFz/UdEYXxDfx5oBdjRCPn1N2O2Ata4j+3DkGisviy0YR/5ik8S1MFSCmKy0+qK/vIHPF9aVWJeReFOcw4+jlCfqEjxEGccxldIEvxEpSZVsssovUyA3sWjeovtQfl9NqFNNKb9SIVjjwEnjMSpx90tnZfN5r1FrLXY4dE2JjXEtGVdA94EZE/Vw5ALnWy2sFlR/jD27WAQ8/dgEHzdNWVZ9/1n49ndJVuXOs9cLjNNaZ7yBBmtlAZhTyQaVH3tVfGAdlqH4etMU500VxluQldZU4fuF7ZYAu+xwhHfSBToAeC8vMOPJHDBpqgxWEbfk9yKb5DZNMWfncN11u2S/KbAIevpCpyvLcpddhLsu5QmlNXpnG3N/j7Th450PICexsYuNcpcqgaq047K4wyZZjOJ+N4lfvAWp5G+sCmyy6GosFSWOCLagHGycYF69Rl9cur6hWTpxqWm/bBJX3AtrLRQ6nb9NubuKAW5uAfw4K4tVq3Lx+wpRjQbRtx4y3g2wGuyjGlt/LPDhM6aw701SjeX4wrrxlKXKwiimMT+rmEyVFMBIUzHz17YW1FQFobd58+Vx9T5Vx7jtNhXju22LurUqWUSeiMj/ICLfE5HviMh/lH2+KyK/ISI/yv7uFPb5eyLyoYj8QET+2kYjqUrP3OWJLmqORv6dS3EFrppAy9wKAM8jbnikoRA1FVFbkew05h+kVRO7rJRuYgEUX5dxDFXn+YykKj4gnofe3UE/vI/e3UFqobtHhXEtTWku+10KQcO5f7komf27jayozpyiLbVGguBmh91gmwT4P1lrfxL488DfEZGfAn4Z+E1r7TeA38zek333i8BPA38d+M9F5DOcQZ+dSBAsWRnvGEBqMkEsjLeFtJZ9Zlm9OpVX8mXBwmUZik1iCHdFJCNyffyA0U8/ov/T9xj+6SfIew/db1xQDuW2gbks9PaoAnMVRYljZdreQj+8j+p0XJ/KVcq6sO/Kv0XRGnl4D/ONJytvwcIp1m1grT2y1v5e9roHfA94BPwC8GvZZr8G/LvZ618A/pG1dmKt/QT4EPi5tSO5LUbhbWxzWzGm2ry8Y5aOjSLqz7voyOW7rYB32l0eJJzuuAIwVSXLJsMyN6T4epUb8Q5cjAVrIQyJHnSItj2ShiJuKkZPOqi9HcfnWbIcZkOzC8cT30PfP0Q/vLdodSjHIypaozptxn/6Pbo/e5/xz76PvP8IFYYzC6J8vqJlUazByN8XMyp5o5tOm+SgTdIOb3R/bqS2ReQD4GeBfwHcs9YegVMewGG22SPgeWG3F9lnb182mYDvcJJaazPquHVj+JxWxyywaK2F50fsfndA62XK/h/2sC+OZqvcpuClqqBkOV5QlHKgctmxq1yMdyzVqEUw2ilOlVqMJ5hWo9IMX9ZlS4IAtdWh++cecfEXHmG/9f60reDCMfa2Ge17GA1pqBg/7iBbnVmfySUxA5GsE7bWjpthiXJABNtpYn0FN5wGGwcfRaQF/L+B/4O1trsiqFH1xcKvICK/BPwSQI3G8vSj23jTYS7uP9eUNntfPO5tz2FdZFm0qiZRKW/7eYqxmMkE9Z1PaP/AwwyHmBwIU7YaNoBEL0Tpl7kbhX1Wyibw6rcsC/DmyYTgVZeksUMaKCTFAYhaAdquyCJUiefR/UAzeGwIr+vUv1eYsGbWTEYNxwQ9Q9xUxE1xzNKq8EyWxVjQAr6P2t0GrbHdHnY0RtJ0KTeDxAZTfwd9JUTExymF/6e19v+TfXwsIg+stUci8gA4yT5/ARQdmsfAq/IxrbW/CvwqQEd2bfbhbIK+i5qJKVRZFj+7hcw1DbnLkoNtosh11yqOuZxaLO9XmpQy529XpDqL+22iEG+KgHxHaEgbJ/D8FY2rLnRarpDJgOoPZ0S/2fWsTFsag60FqAge/2ZK89tHpElBCedjT1PM0TEtEeL7WyQtn/B1H5vhEipFZe7BwR6Dbx2Q1hTh5S7h919iur05cJO1FrEW6Y+Qdg09vtlzulYxiDMN/m/A96y1/6Dw1T8B/hbw97O//7jw+X8hIv8AeAh8A/iXa0dShWxcFx+w82bTreXWdRifsyWwSgoTM6fHp+rZWHcNhYc5p8KbIfQ0QsoClHoT96I8zk0yHVX731KqOknZOMFmPRhyizjNS59LSmEpECo1yNklD/6ZgvPLWTfrHOOQnw+wiWuErI9P8XzPnb+48le6O4LpNEgaiqQmWOXjPdpHZR2vpvspAWMwF5d4SrC1m8UYNrEY/gLwvwO+LSJ/kH32H+MUwq+LyN8GPgX+BoC19jsi8uvAd3EZjb9jrb2ZunpbdRCboih/HKU0IZc+0FUIxuJ305eChCHywIWS5OzCWR/l860KPlZ9tml84V3XTeTjSt3YnLm/qNw2IWgx/QEyGk0nuGSs5Yhx5CvFY2Zs3/YG7QesFqwClYBKLCb0UFnVZbE5rrWurYI5u3BpyxvIWsVgrf0fWR66+CtL9vkV4FduNJLqA1XHCG6z7yr5cVUaFavxSv6AqnhDAbugDvYYfn0fK1BvhPDRcyh22y4eZ5WLUjxHWcoWxzuUpYxMy7Inmx3UKRZrs16oO9h2w8Wjun3MdTernFyCDq3iTijCoa1FjWK8kcVmDYjUJHGxi6IFnUOnM+WwrhVCWe428nHTwqkqC+NPsrVQTg8uC+6tQlOWJoRohW3WMb4QNxT+sI7vux4HOV9hZTByXWCxauxV25asl7fZig7WuwiVMY4VgCYRQe1skzzew/ga4yv8Th1lDFx33cpedT+KBK5V12gMnF8R7DZIaxo9MejznoNaL5HbNJ65m4qhaiKvmuBvgx9y3TneVD5LBbUOE7AK/rwsdYkzYY0nGM9FuvE85NF9R4vXH2GPz7Cj0XzMoeI4leO5gbwpw9ayrlIblVHn0OlVJepKkK0O6f0d0po3vW+T3ZD6VQv6A3LaNtHKxWyqyqXL5yGb5L0+/g9eEjRq2PEE0x9UB8HLCMsbyN1RDMVU4k37V65kjb4jLsVdslpWBQaX1ELY1KBPLqm3a9StxfvoCIDR4zZxW4NtUz/ewv/BS9dENcNQIGr1Cn+HEJDrOk6JVjPcylyQsOw2OQiyqeXsSjgiFmNJ91roqx70elisizmkFS5FLmXLwVgsqdu/13O7rQpWFva7idwdxVBMJd6EMbq4702/+3GWdenCdXiFsv9rDenlFd63R+7jKAKlCE9GTLbb6MiStHz87TbS67kOXaqU3qsywz9HxbCR5ZGNT9Vr8Pg+yVYdPYpR513MxaWjfC/fS2Ox/QFqvIX2hDTUSOq6SEliFmHP5d+qQN8GLnsxl3HIyFqK53sTqvgquTuKAWZKoIxlKH63bJ912912LHdFNsUF5HKTbaviDqX31iiE1PXqLBxfffSctv8+STtAUosMx3OAr6Ul3ctqLz5HWVZeLb4HTx4wetLBeILYAL1Xp/aRwpycUdWYyI4ckYrsb6F9PbUY1NUAOxwtUsMXYygZ0at9sAeA6o2w55eYyWS2fTEWUXz/luTuKIZygKQ8MZdN/rJl8bZQkrc5zk0n703kNse9CciouM+S4p8pHoLZ5DHDIfKHPyRsNMAaR0KStQZcsBSWuSp3QCnkUln7UK8RHTZJa4IVQUeWqOPhH2wh55dQjA/krpe1ru9ot4fSCjwPUuNAZsni9tnJ3Xut4XCXeLeBWAs7dQIR5PUJ1pRiEW9ZIeRydxTDTSb4TWMQq+RNFcrcse4Y4GmT8SwLNlZBnEVVRvOFrGdoSYnMnWPZ6ztmLSwNQFqQFEwAaaBQsUVG8fI0YGbuSxxjIuswBlXMSlMw0swCEK0xdR+xNmOQBlvLKOVvQQX/xaePv2ls4W3IXXIXbiM3sVKqtl02MTc8bl4gJJ5LXdq4wucunqt4/OLfOyRlVKQdDAmOe6ThFpIKemLwuxHy+tRRqs3vPHtt1BRwVAQeVVVJTpGRJmtnYC2prxALKjLIaLKoWMpSUjBz3a5vKHdLMaySMlbhXdHJf9HkTeIO69KIxW0qziNao5p17OMHjB+30eOU4I+fYa57VNZRrMr/r7Mc3rFlsSprYq1FXh5TTw028FH9Ifbq2sVbNuG0KL+GKf+miDjXwhgXUDQWmyToV+f4+gATaLzuGHvVnW8kUz7mAvuUvZ11kcndUQxlbbgO3LQpEezbiB18EeW28Y4NwVAO1bfN+E89offEUcbpyGP37AAZjrBxgmjm8+tvkokog6beohuylHDFfQBGYUZj5NOXoBQmbwFXjKEsk1IcRbRCmg3Y28F06lhrUf0JnF24fpWZZWGuu+gowgsChw3JYzerOCphUUHcUjncHcWQSxnPsK5uYl2M4E+KIijLbeMdy1CQpSChBD6Tn3nC5TdDTABWQXhlEWOwxkwfyDkMw5sGZ8vuxy2VQnFMVRTyC5IXPaXMMAf55zep81CCtJqkX31ItBMiqXXU79s1/EaIevoKOxxOsQq2P0Bk6A6xAVZhxsuQjSlXYF/oGMOycutNMQxzufc1YKk/SbIpnmEFBHnBWshoyeKWxoRgNHhj2PnBCF68nmYllsYulo2zPK6bTvwN9llK/77p8d9ARAR2t5ns17DadZ4CSD1BtkLCRh2GThHMaOKXuF2w6EYohTTqSKvpNrvuwSQrs//CIh9zuXV2oWgCb6hU/iTICjx//nrKsZCvLHYJz0LxsFFM4+WQyVYbb2TY+s4l9ukLTBQVVuP1x1kqt3U3brtPFR5gA0Vg03SpkqmEVluLHhtMoEhD1+FaRQYVpfMVlqtW+YrrFBGk2ST9yn1M6GF8Rfi6hrx4Pd/9ekO5O4phHbdC1fe3bTpzU0vis2q0+1lI6aHKORZkqwNb7WmRzhR/v6xuIk1RP/yU/Rd17HiMGYwWFMqy6sXPs5v4Mo5GadQRz8NOIteJulQBuax+YpXlUa7YtFaQiyuCRkjSDlGRdqCnSYr/6gIzGMy23/QeFawFdreIt0OMFhCID5oE3Tb27PwL7kqsCyBuogg2UQq3Gduq430madUKvMFNTduqgJ0opBYS/8QjxnsBYizB1Q7hs3PSF0dUMmlk+5vJZGb65sdSpYkkCtWsI82mYy0aDCEvtJo75JtVTN5EphM2u3Z5cIjZajjossV1jnp1nGULcvdp9b1eWXiVi7GY/gD14pig3cJ6GklcLMEMR9Osw7QmI6/HWFcDkZ/Xc3UcNlMMqe8qYrlQN37u745iqBp4MbBYhXGoUhKwGLzctHz7NvJ5VEy+jQBe8VjGYjzXjRkrpL4PskdweUXa7VePxag5C6E42QBE49rAhyHRz36N/sMAq4TOp2P8P/x4amHM7eNv7srcVuYmrxLU/i6Th1tYJVhPML6Q1naojSaYs/MZ/qAUqyn2sNw4XpFnOPoDZDB0VZUwl4ZUjQbpt54w2Qtp/OAMjk4yBbXmfhiDDMdI2nLAKASxIFG8npO0Qu6OYlg2ycvfbzrh3zZk+sdBKnAMNiOKrX18RhocEm1pVILD9tfrSH9Q7RJUug3p/HbGxS3SUBO33KQb3A/Z+bCJjCdYmwUCRSAjNcH3sGcXmOHwnSiHoiITEaynMZ5krEhCGiqMJ4TtBlxcuixEFYajEMS8jXKwWHdsNX8P4n/jA57/5TpJw7J9/z6H/+1gxt+w6rDWYq+6BOdN4u0aCPiXY0cWm6ZfYFeiLOvSj+XaiWX7fakQ5qUiw4CxpK9e0+j1aeztuFVGK+xgWNhNKhRBSYpl2pmiMIMRje+9Jg0fkNQUjZPch59NOKs1utNm8DMPmOxoWp9u4//Rx5XKoTwRlymPZa7JXKzDWtQ4QseGxPNI685qUolgfY0EvptUa8iPbpzhKFpK2RitAuV7DO+FGN/CoxGT4wZSr2F7/fk0aVnyDMZohHz8grDdAhHsYIjNC6++sFmJN0kxroo7fKkQFiUvJQ58pN1GPI0dDDG9Ply7Gn+KfnjmX6/twlQRLbdpSvrqmNZ1F8IQRmOHGMwsjlwxUQuJW45GvfdBjd3jfXj6gvKszM+V77tAA1/4vkrKro+97uJdtYk6bcbbiuE9IdqyjHd2uJ8Y5OmLGUhrZXHZ5s/ZdPuygsjGlnQMthugI7BZ3KByYpcqLPMmt/b8wgUjb5GNyOXuKIay3KSc+rNAN/64YCKyVV18D775ARd/ahsxsPXDHvK9TzCxW2HEyoJf7XafBRXz79YFDm2aknb7iBosbJdXbNpuj6B7gPEFlQCedkG4dfGGKZFM9bK+0rLI3Cj18gR/p4491FgFwTe6XO7XaT/fpnl0ujjBclYlu6gwN5GFDtt5gVoU0Xw+ov2jJkkTDn93AOdXLn7gea6rlbGOCyNNpxDqopsw5Wko3o9b8DXcHcVwUwj0pt+9LflxUAqFFU+FIf2vdhgdKjDgD5u0fuQBTjFUxgyoeKjdxhtlFarcglxMt0/9Dz6l9mAf6ym4uC6cY3HSF/tblI+1SWxiWkJuFHY4Inx6xpY+QGzA2XETNVGISZFWE+m0HCS515+BhTb12TcFmFnXFVv/0Yc8/qQFWeoUmDaYGfzUfcRY6h9fYF+fInE8Uw6r5BZgrrujGHLZZAL+uKzen4Us4UCw1uJ3U/yuxptYGp8O5olASjJngudgKJhbPeeUw6bIRVGufqAWwmQCP3qGwKy/wqpJlZUoi+c5NyWOXE1D3utiE7HGnWs0xr8a06wpku/66LHF78ak93fAWmScwHA0vxJvAvG+YQbJRrFz6b7+HoMP2vj9lNoPj7G+x/DQI6lDtHXI9v80xlxerWZ/foPg7d1TDEVZxf/4eSuHz/v8m0gVD0Jueo8nhH/4CfeediCKMZdXawue5nAJuzsuc9EfYq6uHd5hWQHWivGpZh0eHJLsOhiv/+kZ5vxiLjg5d/7ie891qD7/uQPGu0LjxLDzGz+aVncW0ZwLNHMU4hTZ72i14vRP+9g/20V+r8POjwTjuWN4w8jVgBTZmt6kGKz8WfFtLeT0z27T+0BImooP0kPCp2eEPUMaKqKWOHzC5dXi8d+wqjKXu6MYlsUUlqEOP+9J+Xmf/yZS9QBnPAN2MHSpriIL0YrVXjXrxD/zFYYPa0hq8QeG+kfn8PK18303HpK4FX97i3i3SdL0MFpIfvI+9e9a0uPTbCjLA3uq3eLpv3dItGXZ+tASN1yRktIaohi0wo7Gc1DjSpdHKaRe4+TPtQn//Dn9YUizC0YrtDi4slx2HUX7pniSVdWf5VLskqKx4wlbTydEnRoqUuhhDKmh+Umf+rHv+kicXy6WYefyFtK8d0cxbIJJyGXdar0OXv3jLksmdXFSWGOnOfrKJjSl1V+Uy7PL7g7jw5DUBwLBeBrzE/u0UkP68gjJ4gEbm/LigEVWCSrOzhn4rleFFURKxymMywyGPPmNHmowQa77mP0tXv+1R6ShsPVJgt9PCL77wrWdW2JxW5NVhIYB/Q8s6WWTx/+NR+144BCEgOqPZ63mlmQmKqXUCT3HKojWM4LX8r0XhY1igj96yqPjfaxSWF8z+tY9UEL4qo8cnWBz7s13JHdHMeSySYZh04pLa1crkVU+4hfBVchlyXWsw/avbMi7bMWzjrLMKiEYGEdxZizpThN5JQswnJVBSWOxl1d4zTrs1ZHI4J33MafnM17EcjwjH4axMJ4g3/4R1veR7S1O/9w2vX97QHLcIOi6ZiwUUINLU5ipQS6uufcv9tCRR+v3XzproxYicYK9uMSOJxVt5itQpMXXGcBLRFwz2p1t0od7JKEjX1HPjx3XQlo6hmToyNEYdbDH+OuHmEAhBpK9Ov6pl/0UK5RvETiVpS5vIndPMbzJZCxbCqssDWuBVabgW1AKb8o/sKkUTdF155uLGSz63ZUPe/5ZNpHrx7uYR6FDDAp4Y4saRpjSg7pKKeRZATMYIR9/ivfM1QaYjBputl+adcCryEJkkXzRhsnXD7n4ixH2qkbnE4WODMH5aDahV4GUrMF0u3R+43ugtXMZjJk2792obDlHehbvmzWQghWFqoXEHxwyuhdiBfROQMOAHJ04gpZ03p1wLe/B1kJXom1wZDjDxAVp10x0EYdcZW/bKYbLLoxWX0JR7p5iWCabAKBuktHYFBNxG3mHFGQ3OfcClLk8roxaDGunzVUXjjVXXWgwozH+9z6llTwm2g1QE0N4NoKjk7mVeRVUeB6kZFx8I4tPrFMk+ZjKIKHRvo/3WrH1A6hdp9ROI9THr1wL+01qL9IUMxzO7lEOmS4oOxGZ4QSKx5tWOC5marLBgyjSUGMF16VaC/1vbNFo+Ogffupcg9IxbZqirnt4gxYmUOhBjPr02KVO11gLUq+T/MR7TPZCkrrQ/qQOJ6tvQVHujmLYtGJwU9DTun3fZJtNpMh69FlYDQVZC7jJiptkfxfTqqHiFC6uXQepXEGUKckKD73p9dF/+CMaYegm3XiCKWQRFjAPuQIiM9urKhXXKSkKymHuveNM3PrtT9j+HR87Grm4xSTCjCdzSmFZS7rSSfIBzbbzPNf8xRqI4nkXrJjVqJqseUBxMkGPEmTbw/iuzZ/WEO2E1MPQ1Y5UrCfm6hrv+7Gjn59MnAUEU85IjCl1xXKM1NKok7R9krqQBkLSDhYPvkLuhmKQ7EKta2wCbDaZbsqpsElp99pzbpi7rkoVvmsFUTxvaeXLzWLI7vWDQ6LDNsZXWAXedgPvQ4vpdjMcQIl/obhCpxnOoJSFqLJQpBYiD+9hWiFqFCNHpzOq+ZzuLAhQ21vYThNJUjh226ydxPm4SDEXV5X3YxN+iPL3xe9Uu4V5/z5JI8C7HCEvjrCj7D7mPA61mgMjDQbzAKii9RYn+E+PMbWHJLUAowWVWLxx6uIguRRRiibrODWY0btNC872d0l3O6hJDKeXrmVdphystdgoRhKLGKhdpQQnBa6HDeROKAYRheq0nOYbT7LOyaUJuKkSWIV9WHWctx1ozKHHRUBQcTVe2P7duDCqXsO+94C0XcO7GGA/fQWAaYQkDY31BBVb4o6Pvrfn2stRHR9Y1RG6smBJK/jKIy5/Zpuk5vzkne/XUN/+yBX3WAM4UtnhT94nbim8oaEeesgPn0Khg3b53OUMS5UVsgkSc2mxlXZFVMk3HzM+CEEg2vZp9QbIeAK+Rh3ske52QAtqGCFJ4rgmrJ2PSWTHN5dXBH8UEbzeI9ltoiYJ+uUZZjRehFwXlQMFbIIWpNFg8pUDom0PSaEe+qiPJrOCKWOxgwG1HxwRdppIfzTtc7mp3AnFYOshw5//Gv4gIXh6Rvr6ZHHV2nS1vQn46TaTsQrcsoQ+bZriCwKkVnOb9npTv3dh3G8iVXRfWsHDe/S+uUXqC+phyJZS2E+eoy+6eJ2AuOFNGX9Q2WqzIbS5GLcQzbzvL45sJDpokgaC8cEqGN2r0fpR6LIOWbrOhgFRR5MGIKnCNAKHRVjW2j0jMaka06ayrNhqaul4HrKzzfgwZLzlCFwAmrXQbVevYbaakJVrm9BHBT6MRrNMQPYs2jyFa11PSxmN0S+cG2DKNQ35OERAzzIKubKx1qI8Tdz2sCKkdSFtBahyMVmauk5Yl1fYIh5oQ7kTisEEisE9j9qVwrtsIhcBxPFcLXwlk9Ay2RT3cBsE5SYEpxk8GK1RnQ7xTz0mavuo2FB/eoV89HTRItrkvOsw98VxKAf2iQ5bZLQHxE3F6EmH+ksfc3xKMInw7u+R1n3UOEFenriswA3GJL7n7l+aZr9RET1p0eMULC6qLm4MHO65VvD5uC+71M63Ge/5BNcJ3vMz0kwplBmdJQhQnTY2jp1LsiQeMRti5v9voDjy30zvbIPvZwxLoFKL8YTaZTqt4ZBaDaM1xi/EIoIA6nWk2cA2aq74aTRxyNBcyZlMUVSlinOrQImDiB/ug+8h3cG0ga6IK68OLyLG+wGS4vpOFMuys+NYxWrI9Aq5E4oBa/HGmQYPfczPfBXvegRPX8w6G+UT4zbl2atiCrdUCnmzFUS5XHRu9ha5DkQwH9zn6qs158dPFN6ghffMm5l9NznvDQOZ0mpiAoVKwXhuYkYdTT0MsaMx6fkl0u2hdSFVeAMR30Me3cd06qgXp5VAIu9igDepYRIIBgY9MsgkntvGdLvUvvOCsNWA8yvSjEIdStaJduZ77888QMWWxocX2E9fzpOoLhvrmiKvqVJ49IDxV/bQowT/0zOCqwgkQEWGxg9OMLkvL4INtSv4UiCj7Nm8v0/azKyKxGBbdZSIm9jFjtVFKeEjRAQe3af7E9sYXwgv2zS+Yx2jlHX4Df+jI7yrbUhSOLuYD4iWXJHbyFrFICI14LeBMNv+v7bW/icisgv8V8AHwFPg37fWXmb7/D3gb+Mek//QWvtPV51DxZbOJ0NkkjL4oEXUUgT9Gp3rPunJ2bKBbXiJSy/sBtuW8udaow/2SR7uAqAHEfLydRYwK67amYKwjmIdQEWzAOB8bcINgp9VUuYHEPcAqcggxpm13sQSXuV5cKfEVsGYV00mUYK6f0jvp/dJaopW4KH/sF8q9zXYF6/ZuXL+rR0MXQl2marMWNLzSzi/RLRChW5i2SiaizOICOl+hyjjbRCzS/3kzMGfV4x/XZZmqnSePKT/kwdYDSox2NEI/zvP8LP4kCk2fSlcpyQWNUkckex22/WbVM7FEIsLquZMSlV1DFUZGF9jtZCEgmx51LdaGaOUy0CYbg96fffcLONdeMdFVBPgL1tr+yLiA/+jiPz3wP8G+E1r7d8XkV8Gfhn4uyLyU8AvAj8NPAT+mYh809rlzoDxFXHLp3Y5JKm3SequTwG+NwOnTH37W2Qi3pJMi4jqNdJ72yTtAOMJXt0jGG7PmcfWKEhT9ItT2u2AuK3xeyn62fEMCDSHk7+ZFbRQZlzhzphen+B0gAnaqMjijVLCH76epvHm9l9y7KWiNelemzRwWY204TnLoziEbHVLRzNkTTWlupkeUx3sT+G/9R+eYE7P5ya+GsV4E0vSyDAFWSxnVWC0eF2V22mNeu8Rw6/vOcuun+Kf9F2dRdGKKt7zwRB9OURaIZIY1Nk1Zjx2gcmW47dEK9fh2lMuE7ShWGvRr8+p79Rg38fvG2QwmkOVrrQ+iq/flcVgnSrKGUH97J8FfgH4S9nnvwb8FvB3s8//kbV2AnwiIh8CPwf8ztJzKIg7HjVrqZ8lWOXh9w22UUN1OpjLy1UD/OwyDeD8v2YTEzjufjEWUjvfCj2XNCU9uyD4Fz1C38PGCWYyWb6KLQVdmUWrpVA5uAzWZ6MYeX5E/brvIL79AaaIslsixfGthjQbUh+sEvzriYsLuZ2y7+1CyrB8/Ln4gdbEj/dcyzsP4JDaYIRNus5nTg3y6piOtTS2G3hnPYdbKMucy8ecEqzik5AgwNYD/H4C1uIfd7GvTxcb9JrZddkoQs4u0F3XQs5EscMUnF2gRTDbrlqUxCCTZNHXr8haTH9nYzFX1wTftQTtpqtgHQxdzKIEupqLS+TPT5m96RYKYqMYg4ho4F8DXwf+M2vtvxCRe9baIwBr7ZGIHGabPwL+eWH3F9ln5WP+EvBLAEFjBysgUUz9u0f4V7skrYDhV7aoNUNkMKh+ANyBZq9vayEsqT6ce50Rp06LepSgIoM3jPGenbiy5VJBjHMrUpf3Hs0f15pspbthbGia6dDa+blJMq8XSkrEjMYz16F8XawJypUYn+cmurHoV+c0t2qo1KBfnJKmZm5slQHJwnmrqNlUnDp24xiMV/xt3bhNfwAff+om3wowVNV1VAzC/RlPkI+e4/tZDUIUV3ftLmAvrLUOyjwaz8GT7XgCr0/RowkEvstK9PrzLls+ibV2kziHXRfcUJsa7NU1ct3F5PgFcJWgsDDxRWskDJFG3T0To7FDk2aFYPgaNi9+3UwxZG7AnxGRbeC/EZGfWbF51cxc+OWstb8K/CpAu/PYNo7G2P4AO4nQjRqT/Sy9p6XygNVnfktKIf+8Em9gMJdX+L6H16jB0SlpDtgp77smi1AGEW0kWdTc3NslbQb4nxyTloNPlHL7K2ulVlgE2QOnOm3M/T23+r08ngKUzOUV4e85jZdm1X6qXsM+fkC6VcM/usK8Pqm0GmZjLJw/TlDPT9iqeZhQE356Oe3lmG8PgEnc5FzmAhXTprMv3fV4HuJ7zmqK46n1ZKN4Poi56rfLx1MR9RcRiGPM2fmsutLaeWi11qitDubeLtbXqKsBvD6dohrze+92tW7MrabLVKQu9mFH4+m5RQTVaRN9/QGTvQC/nxJ+egmvHS1dDh7ju8svqSw3ykpYa69E5LeAvw4ci8iDzFp4wAyJ/QJ4UtjtMfBq1XHVaIL33adOcwcB8WGbpO7ALmoYzft5b0umq6Gej+AWagPmpLDSE0WkR8fOrEvnzdQFYtRNaL02HasSVKtJ99/6gOuvOn7C/c4Tar/dne8atY4HoDSGVcpB7Wxz/W89YXBfYzQc/FED/3d/NMvEjPLJmkXCHxwy/KDDZFtR2zqgOYlIj5eD9OeQialDMHq/23VdpfOy5ALUeiX+oOKY+XVL4DtA0n6HpOahxwn66MJZeuXna9O0cKm2oVjJaK1FciRisbxaCVKvEX/lHqP7NayAv1ej0RuQRtF0u6KFoO4dED/YJg01KjbofoT65AWMZ1aD3dsm2gmYbGmitkJFW/in50iryfgnHjDZ8W6kGNYuWSJykFkKiEgd+HeA7wP/BPhb2WZ/C/jH2et/AvyiiIQi8hXgG8C/XHUOm7oqO5tmNzS1eEODjgzqvLu6PLjygOtNS1GCajbQj+6jPniCfngftbs91fJTP75QLzDFvRtHbGITt3KpZh19sI9qNV0Kr8JEfiMpgKqk02ZwXxG3YbJnmWzpmaVUHm/hetEaqYXoewfumre3kMB315vdjwWGJBHSh3tcf6CZbEO0Bf2HARIGs3OUOQWSFAT0xGICwex1FngJ1l2rTRJneufHzesClkgRaFVZCKYEdbBH9P4ek/06ScsnaQWY/a3546rCfczPWXU/q0rc83qK7LeQcio8y1QABbcu2zcxIJk1o9WCtZBuOSKbtKZIGpq0FYBfqn1IUqwGb2QI+gb/IrO06jXGux6Tzs2s000shgfAr2VxBgX8urX2vxWR3wF+XUT+NvAp8Deyi/mOiPw6Tj8lwN9ZlZHI7sBs8kcR/qeneNctpDsgPTu/Ue4e2MilkDBEnjwg6TiXRVKL6geuwUpuos2tQosWgDUKFWh4dJ/zP7ND/Tyl/q8+mrIiTdGba2srbobJsFqQBLyBoKNSLMQNPHtrpxaReB7y3kNGD1puEwPByQB59nLOhM1X5ZzIRV328cZt0tBliryxXUQkFoJmHJ9R22sxuldzXA2TxF3bGhxBfu7p+HMw08EeptMAa1Enl26Fz1KYc4qs4D6UvxMRbOCT+grjC5JYTKCmqb6p5EG8DESF77nMRH/g3Iwlv6Nq1uHRfUzNQ1/0MSdnboFoNl1PiFI60U4meJdDvLaP1UJ4MsDudODeLur0alrMBmCTBDUYI7s1p7xTix5GEM8CBtZa5PiUljGYVh19PXAcEkmCjMYE3XQ+XrOBbJKV+CPgZys+Pwf+ypJ9fgX4lRuNJL/paUp6do6cX2BSU20tVLWr25RePrcWOm2STs21JtMKEePMp2J+Omv2KkGAHQ4x3f5csDAPBI4ftOg/UQweKh703sP77jOn+aPY4eDLfIhluUFsxA6GBNeWpC7oMTSf9t0DoGRBCc1NjlaT6LBJ0tKkgcoIVhoEx7VsdVaLsQBr4OSc/T/YovvVOt7Y0vnDE6dIqgJzgBkOUd/5hPbRtvv48nptb4PKTIEI8vg+3Z/YdZRtBsJHLZq/D+nF5ZQpyp3azr2eUzBkE+f0gjDwMa0AK4LuTZCjE8e9UBi/eCHy+D7jBx1n+QwTvLOeo64rBySto3Xn4T3Gj1zqNgw9vOGI9P17jO/VaX7/DF4dO7ciC8hiDLw8pjHMSq21ov8z90lrQnDYoP5tg7nuToOScnJGaC22HiDjGC67LiZi7awOYzRGXr52oLp8fNr1C2n84IRwv7PyNyjL3UA+FiSvllv5KBUVQbE4al0BVVG82aVLalzp8dnVFLoqnoe6f0i600aMga0WCjDX3Tk/V+KY2lGf4Dog2hKuv1ZnZ/iQeKeGilL8733q9rkdMjUbYCFaPRyx97tn1L62g44M+qKLDUOXfXCMJhWX7yC2aZg1PVXuX9zyCGshdIunmk8jmtEY/48+Zu9HNfegDkeLpCLTwWVxmNGI9NVkLblJeQIviFIgIBbSwLWPI5yZ0MsyGwtjyvtFfvjU1WBkFupCQVsG8TY1dw7jCbbpgbTxLq6wcX8+KJ1VjybbddLAWSPWV7DVpvv1JsYT6p066tRD2m1sPUS6fUy3h5lMkONTl2V4eA8TCJOOwgrUtttwnf0oJquUPLtEhYF7PrMg6ZQfYhqUNe54jTr24QEYkOEYe91FVVWfrpA7pxgWovXLVtrbUL4VxFxdo0Mf26whcepav19dZ8dRyFaH9GDL8f4lAp515mW3TzHMb1ODPD/i/m8ZJg86GF8YP2wQtTV+XxPk+4hdfi2rpEixZl3tPacX1Lbq9N5vMPn5RzRe7RE8PSU9Pq20sKy1LrBrLFY5ijCVujqGuUi4zFsNU3KWyQSJorkVSrXbcLCL2WqgBhPs86NZXKDAXrR00ldJId9uU4O8fE0z8Ih3a2AhOBtgL67WpijLJC7Ta7JmeWFWdn4bJ0icolKDVQqV2GkMoIx4nN4zcArMWCQ2mKaDwKskCyS2Wky+fojxFcF5DTUcZcxQDkYtV1387i6pn4GZhmOmjNTKcSuYDx6QtAPUOMV/fYU9u1hwg6zKUoJ7O1z/1DZJKCCw8/0O+vvPNv8duIuKAW43gW50eOvKY5+/ctBkY2ZFLplIo47xFJIh11zHn+r0pY0i5OUxXrvG5KA2pTwzvrgKvFeytv/hSilOLmOQMOT1z7fofS1FEkFsjf3fe8LuPx27gp3ixNbZyjIcEb7uYx+2XdPWywjv0tX5i9ausGdZSpEUm1c0ikLv79L98+8zPFCkoRD0Whz0hpjTsyyFV9i3UA5dDeoqKY5CgM4MRsgPPiHICElsAR49d7wNMkDlrEXlWFJnqaqXx/jpPmqr7nz6s66zyKruz2SCf3SFmC3UOEEdX2DbTSRtO+UwjLDNOkldE7U1mBq1jJTGYqfEN/U/fkF4bxcZRZiLqyn0WjwPe/+AyX4d4wnS0NhgF78/zPpqlmokxKEkxUDcEtIQLn6yyeGLFqzACZblbimGz4KAtQBWwiQLqaqpKT0coUdNTM3dIhWl2G6/MiVo02wlz/Dxxhf8kSG4TlCnV6SbZlWWPeDFVGlqsOMxOx/GDB95JJ0UxHL9DZ+9/6kJudWTX4s1jm05juGTlzQuOsTv7TN4VCP9So3wepvWd04wx6duYiTVvAY5sEu0IvrafQb3FGldMBrMCKa5+hUox5VSwExQCyFOsIOBm5Al374qjrAstlLGo2xE8dYfIM8m6MAHUZisJVzpwrKAq8GcnKHPL10NQ5oicUzno4ZrjHvZxW65+gkdW1e+nbebK7BBpZdXSK+PhblFSmoh8Z5TCmmY1V8k2tVvVIhNDebiks7320TNHbdIKW48r+6WYnibSmFlMHKJj0zBfL66RosgHRfF5+JqgVWouL1NErynx9TjfZd77o/h5Jy021/0ZZeOudoimY7VOvJTOxjS/M4x9+oP6D32MB6EV9ZF0Kse/NSt+AKY7TYXP9kgaTqrZrKlUPEB9etuFlS01Z2cpqg/hdcdE/RrpJFLS+58+8oBejITv6wIFuoTcjg3zMF51eE+o28eYjxBTwzeIMZ7eeEskUIAd6nlsex3LSiPtUoqV/ZxsuiWqUXLz6XX01nnLMD2+qjvPUW0wkQxkhr8QYfI89DjFGk1iO8/RCUG9emxc2GNnSmf8jMmgs2zqiIE19FKQlibpshHzzm86GF228g4/mIStVTKm1oPGxG1VAOBcvM5Pb9EshV4oTNS4WGzRrntz87h8spFhq1dXGU2GndFerM0Rpsk2Isrtn4nofVgl/FBfdqToQoElHdbEhHHHyBMORq8ocW/zmIDSjkTV1yH60olYwx89Jy90ysX9e73MwzKfJZgAROR1154HmpnG9tpud/4sovpZoCmrSZRJ5sBAmkYkjTuUbOW9PRsBhku/m4FqPbcvVIlMtd1wLOissq3LwGYFvbPGKjmzpFbd1E05WS0vR7h914SbLWR/pDoK4d0v1rHCuwa4ywFk1Rmb+x4QnDcwwRbJA1FeBLhPT3GlLISc2M0FpskpKdnyMXl6kD+Erm7iuFduxS5lFbkeaBMupjCq9q3EDAVUuwyOPWmfJFrPrdZEQ+NGuPDOkldIUYRPthHrruV/AQ2U1T69IrWywZxS6FjByTzX104OjcRF0uwdjEmktcIpC6Al57OgpbrqjOLloI0GyRPDjB1DwzoTh31SZpBfC3ewGC9LAORH3+rhZydO5+8LMVzS9YHs15H8gj+cOQmJ3Zewcq8khGtHNPW7rb7+Op6Pq6QIzuLBUlzsR87r7Ayfz+/9+bqGnp9rFKg77naIAtJJyTwvOXo3jTFvnhN/aoHge8K4UbjBTQlMFOEhcKqKSbnC+1KvAvZmOatGk68DBpdmRbUGrXVRlpNx/5jLPbiMltRme33FoKrDhWnUZFBBQIWV96r1mQBtCKtK6x2BVxpoLC+50qEA99Vi2a8j9PryiP8c60tS0HAYrXnCmUqQYAJPdJQI4kFfHSriR0MkdMLgq0accvD+O7+6YlBrnrVq17RHckRjnu7JE/2MZ5CjxPU0yNsf1CdOi3ClJsN7JP7jPfrAIRnLdSzI0cpn0/6rIGMO5ZeXK2NmlMcRUvCKiBjYPKPuoR7AUkoeFc567OqjtFYlxI30/SlmW2XxWWKmB4p0MCVj3MT+WIrhk0m/W0sj6JyWFZ3MD3+rOZC7W5j3rtH0vKnPQRqZ23k+09hjpPghsqhaltjkXGEWEd0I4lFn/dI4xzsNA/6UV72EKUGPTEYT5MGgjdwsz351hPSmiZ8cQ2DeUbhshKogh2rTgsO95De0MUbSkSu06DuaIQexRhfoVLjUoETlwq1V9f4L0Lse/uubZ2I45O4KoCkCis8zD/w4nmk93eIO44PwfqKsNXEjsYujWftDAIdx1MrQkRgf5d4p+ZK6S3E2zXCyxYyGs1ZKsWVd4ohmFZLZte4wrKxWHj5ms5wDJ7GXveca1ihFKbnKbqlRWUWBKi9HUynMQM+jcdIHN9YEZTl7imGN6Vse9siBaZnmDrnOTnK3GrZaRF3AkwGvTW+kDY8/MxvnymZW8Ye3IldViVNsZdXBOdN0oaPd9Z3mYXp5gXUo+ehDvaJPjhAj11PR5vBa2tHfeL7Wwwe10gDAbYIXh1n12YWLYOqoWlF9Kc+4PKbIbVLw9Zvx9jzi8UNrauJUU+PCO/tY7WgLh3gB3Cpu+NTgijG3267bMTZxQydmN2HHG4MwHg867Xge85UZxZDsZ5G3nuIdAegFPHjPRf0+/ilsyTy60vTqVIAHFIxNVlZdKaYlQOKSbvtFMtwhM3wHVNq96KYgjIr/IY2SZzyLPMmlMXYxbhHNg4VhphvvkfvUYM0EFQKtZM2wYdH7n4WFckt6nbunmIQmU448VxXDpundVZWvb2bVKdojarXkL0d95CNJpiLy4UUGgBXPQe7DTxXVSKCPr12Jcl5UGrddSyTEhQXcHn+Hz3D871FDoG83iAr8b3++Uf0HmlUAn7fsvODAd4zV/UYvf8eqS/O9dHz93Cu9mCZG6Q1432f4X0hrWm2Oi24uJpTLLNAqHFt6vtuohpj5ipUbWoc5Dlr8V5eSUUr5MlDJo+2AAd6ko+eT69fRjGq6aMEvO6E+ME2k12f8KKF8RWjAx9vYmifdxzjVp7OPTmnJkK64xSOvhxgu/ORfNEa+/gBk8Om46AYxKhnx3M9HVB5DcZ87GOOSIWCFVCME6yawMV7IILsbtN/v8lkS02Jdq0K8V83HOVbLnn84SaFbNxFxYB7GFW7jfnqQ+KtGuHrHvbpiwVKsvmd3o31IIGP/eAhcafmfPjU4rcb8OL1jDwm87/N5aXDERR833RV8HLpSVe4GgXLw6YpRMyCjUWoru+56kkgvb/HeMuRwqYh6AiHt+gPXMOU1KIjizcxhK/mSUXmlEJFug7cCtj6qE//4RZB1yLDmSIsA4um6d2U2Uo828CdJwMaVcZxtjrEh23itsYqIW53aJ+2HSdFkqCOTgjGW9PtB+87DlEEkpoirgti1QIwyEYRvHyNep3BxivMcanXSNqhazA7sSStgGCrBXkqULnybpHQlaXnVoTK6OjbLWyj5hiZur0ZXkGJW3yaTafgxuMpG1Zl5kEpbN31DsU6l0ZHFj2xrglvedxao+4dwMeLv90yuXuKQVRWmHLI9bfaGC3EnW3agxH25dHN/fM3Gorz45JmSNx2gTmVWNKtOvqsNi0mskWTUUoR/XKwct3Yy0qhDIkuyxT8lK3ImYXD/QPiwzb++QDT8EFAjy3eEOoXKf7ra0wcY4fQ/P4ptb02qj/Gvng9X0iWT+xVq1maIh9+ysPBIZJk/QwKkzrPFGBd70uKVlM5U1C2jAqfiefB/g6TXd8Bd7SgI5dmzYN+pj9ABkM3GR/dx3iu45OKLeLbDAeQYC+v5ybcdAVflh3IFJZKXFwkDZSjgiuI6rQZ/9RjjC80/vgVJrN60Bru7TP4+p5LOV4l1L770lWKKlBhiH38gHi7hp6kDml5djGjyitVigLIZZfGSZvRvu9iRWNL/fUIe91dwDeI55Hc2/oCKwZR05588U6duC7ofPGS3M9/E2zxzcVGEXoYodq+C/CNEvRZDzsYzJTCumBlHqDMKyDz7VZJVWpN1PwxWAwMilZw/4DRV3dJGoq04RFcTqhfGNcb4Sym9pEjWbWpQYgxr0+Q1yfMQcPLxULZA+mAUuncua2xMJ7Ai6OFY4hWqAf3iO9vI9binXQxr09mVskUOJU//HoeKFW8T75P0qlhfDfZDSCJs1iKaUWLBWtRUUzQTV0Q+PWQmhbSmufqSiYF69MaRAeztGZ5TMa6rEEUo19fosN9TKhRwxiuus4y0Jro6w+4/prr9SD2IfUPAxiNSe/vkbTypjqCVR7hTgeuu65A73CP6LCJ8V0A0x500L3+AuQ5T0eKyYh+v/uCYHfLsUD1x66SNZq3dG6apszl7iiGPJBn3YMVPD1lhwPEWLe6nZ5nmy2WF1fKm8YccmxCFKM+eUm9m8UYhmPM+cUCbn9p9iK/rhucd373xX3nKiCrzus5difjCZMtjYp92n985lKSr88wGfuSc0cWC4sWahwCH7W74/Liw7EDJKXpwjjy3PocwEkp0t0W0Xbg8vbNPWpRTHp8OnetojVqZ9txIFxdz4GmpsfKVkLjuUat/tC4vg8ZrdxCqvnymvqHnmMbP7uCyQQFTikUJ1wQoO47ylJzel4oK9fOSslcBESw1138H0ycizkczfqDaE20HbgAroXeYx+jDwgvJ1x9o4lKrQuISsZpkVkmEgSYrQZpTWVugTgote9jTZYdyjEJRRchTZ11kDGTm/yzklKQuku/ei/OuYncHcWQwX0RBSYhfX2MPnU9JdKq3HhxMlSCid5OzMHm7dELD9+c61C6hmXKYSbp7LNVcYSiaD3rtZAki0HG4hCsRU4v8XcbAK6vRGzg9AI7mczvW3JDlo1B7e7Q/TcfueKri5jat5+7JrLlOEIFwQ3gqlcFopbCGwl4eiFeIe3WFH/gbTVRL46nJe5TApYkwX99RdjxXVv4UeYSlVb/afQ/iuDV8ewkuYldvF6tkfcf0f2JXcRa2r+fYo5PXc2IySyP7S1G37qH8RW10xHq2bFzE0oZBbHOZbEKjA8mECQxiLFEbSHoWhrHEeHZCM4u3XgCH6uV+50srtmtsdgkXQy8inNtUeLiSlmn6yqZWnhZK8BV/UOq5O4ohlym0Xvmoa655CtwzkastUsZ5b5hpR9+S+uhWLw0Kxlcv0/BdUBrVKMxRa0xKbgfGxwDUej9PcxeB6s1KkqQkwvM1fUs6p8HIzMot+31CF5coO5vI4lxrEKTyfThqKJvX5ACpNi2G0QtReqDGI/w3q4Lsi4pjy+6ATZNUccXBM0QE4QuVXrdm0cPZmlA47njpa0Q/eDQ9WjI6PYBF0M4OaMxnmB3Osg4cmSzOcCpKAWXIn9fdc/V9ha9n9hlvO2i+439DpJZp/n4zW6bwcMASS3jvRZbnkJ955N5Xz5Nqb0aMt5pEzfcvQ0vYvTxFf6TJlFbCLsp9T9+gc1SrK7OwqCiFD3JOEEA7/gaMyikUvPs0u4O6cE2APqqj73qusreRsNZMOOxc+mm12wKcYo1wLeS3B3FsKwIpsoyEIVqt7CPDjF1H305xL44coGtylqDN7QebhLsLCiFnOxl/LUDR9rxogefPIco2jiIKlphm3Vs4NCApuGjaocom6X91Dx/hTXWQZaPjtEZOYeJIsenuWF2JO/xgAhiLSZ0gVcdyxQfsOy63cvCdRkHB/Z+mNA+ajmatNFohhTMEIV2PEFPUkzgsg2mFThEZBTPHy9NHQrwuuviGWWU31wgWC2+L95zrZFmgzR0OABvZFDd0UKjWXl9Tnu3Tu9xSNKA8X6NVrOBHY7cb5kRv6hPXrCTPmD8oIWKLcGHR9jBkPb36wTXHcIXV879SGaZAzuZoE6v8OO2K6m/6rmMRd61isxSaNRJ721jas5aivZq1J5pVH/I6KcfYUJFeD5Bf/LaLUD58bP4h7RbMI9bWyl3RjFIDjN1b1zaJ7cGcn9+ijJU2IcHjB61HOlIwye0Fvnk+c2JY9+BTDsmt9sMv3U4LQySR23q1zukr4/XHIGZFWAtKk5ctyNrSes+puaj2y1kNHb+b2YqTn39rKjLDIeFw1UDlSrjH1q7NGathu32HMdkytTyUtcD597BAiV7kSZueh05g9JoPO3+TRTN6hescRWJl03sfhvje8gwnZayz/fJnaEAJQjQ+7sO0n164VKElCyREnMzJYVsL6/p/KhJ0gnxL0bY16fzroY1mIsrgu9Cvf4+Q+U57MCffY/GD8+Qs4ust4R19GofPaf+PGOAiiI3KUcT/Ovx9N5SNOuNo+Gn23NjTAsuRPF3ajUxNT+rI9FZvEKwrQbRtgcW2AtpXHZcfUiWbhUR1O4O42/dh9crn7g5uTOKwWYkIOJ76J1t0gf7pHUP72qEHJ9lfIuFCj5fYwJBRc6ns4E/e4jeUj3Cm4hohX2wR9LQqBTihhB1NLVazrC8oQJLUwe06TSwvoekFuu5+obkz32TqONTfz1CffjCNVw1xSKwwniWlSpXiKrXiH/6PaKOT/OHF+ijC2r7dcY7Gm9oHC9Fvm27hfngAXE7QGJD8PISc3S8wHOZP6Dpg12SLDNgzi+cCyjK/T06wUtSdKOGDEaY4WjmJpSDsiLIvX1GX93DKqEW+M4ay7AR4nuorQ623QStXMfoyyusKWRdjMUMh8j3nxJo7RagPJVaOqe97tL83gm9xw/pv6e4Voq9+iFbv5sg44mDR+e/12iU0dIJPLrHq798QNIEPd7i4W962TiLVomZr4GokkmEilKSDJviDxOk28e2m6jYzorOygS3vk/83j5x68cA4GTu7TJ61HTNRbcCGuCirznKM4rRT49oyEMmezWXp+4PZ6tYLusClG9biudTCtMIpg+MnswAKHPbV8RQAPd5tvqb/gB9colst7GB535836P3OCRuCXGjyXY3by1feLBZohDy81StqIC024wOXITdf9Ah+L0T6v/6KY1206XfhkOX4gsC0q8+ZLJfIw1dD0sT7lNLUtKT0/ngYi0k+uCAuOOThgoT3CP8NIBXx1OAlo3iWb8OmK+PyGVa5aiwTdeXwQoke3X8o9C5HtrxKE4e7zhrx1h0u4aOYodSTOatGRvFWJXMxyFKv4u1lnS7Rf89QCx6LHTf17R/0ITT86wTVOBqRDKkrgpDrn9ml95XDXokJA8t4++3qT33ppN3ZU1DwWow1120taittvvdrnqYXh8FhFdbRG2f8HwC55dz2Qlp1Im2A5cKvYHcLcVgTVYcFE9z1daTGbVa4ccy113kexMa+7tO819czv+Yn7VSyM+TR8TTFH09wtsNiZuuxDk8m7gU0yZSHH/WA1Ouuy59BkinjfF3MVqIWsz72UWlsET5iHauDoe7jvb8vOdSwpn5rhKL8YS47REEPrbXm5F95GCqwM8qJV33aRXj+h7c23Y8AMXfzA+I2z5JQ2GVEHU87Fd2qQ/HjseiULOwDPU4FWNB4+oiRKYFV5DdB98nOehkVZqS8TZavFbDBeiKiMt8fEUDLi/SyhVmtr2axFgFfl8wAagE1GCEDXzMN95jvBviDRL88wHy0rmLOrb415qkZfGvFeMdj5rvTWMTC9dVIVPswtW1czkAm6duuz38774gqIXY4XDaugCYcnDkadCbyN1SDGQuxfEpjZ0GSdN3/R7OuyTlFmypq+E3GW/jnZGCj29fvKaRpJjtJvr0GntxNU2tLatSLB8rzzZMuSGiyD24ScL+79SZPNrC60fw8ng+fZgfqxjkK37m+yRff8jofs2l2e43aPxAY49OsNddwrM9zP3QEYyGIea6N9s3G6vNqiOtxuH1NcSNjEJdayzzLd/E2CkfpspR3K0Gcn4xBRYVayqq7u0UeGQMqj9C7dRQMfhX4xk03JisB6Z1lGoT41yXq2sXpc9Lo6uUZhYDkScPiPea+BdDJKeOP73k3u/ucP5TmvAC7v3LPvbyCqnXGTxuYDUkTU3c9mmOI8zJGa3vXdB7dMigDs1XlubL2TgrG9QWxcxci6KrMvfIgFMIw+E8jsFYB5YajqgfDTBha/F+rpA7pxiwrgJP/+A5XtNp+LTXr171C6nNcvORlXiCd21B5OCo0Qj76UvkuZDm/uOmacoKd2CmSLKH49kLgueu+5/JATN5Krf40OXKoSDieaR1z/EviFtR4kfbBBmO3//ep/iXB27FzItyMtN7et+jCP/VBWH9kMmOR9xQeIlFjeMFcl07cfl7qxsuNhRb9ChFxhPHdjWnFBabxszdI+PcFl6fUktScuCRjWNyijT19IhGd9u5XVc9F38prKRomTWVLfSwFBHk/gEXf9ZZY7Vdn9YkctbCcEj7tz+k/e0tJIqzcyYgE2pnEeP9IOvXYbFagbXYF0c8+A1LfK+Df3QFl9duvBkhTs6fUEYozhGuwEK9hMoa2OL7LvDcnwdDTbtZpSny7IjWYGfxXq6Qu6MYitrbGtc4tT+Ye2Aqt822X2gQW0LV5ZWawCJI6B1JTjjLwsQuyCqTuYRnyFdRa+xilaao2WqnM9crSZaX9WYruFWCHhtMIMRNjyBzVWzWwCSnCZsbUy7GOuviZYiK2wShwu9GqGevnaKyeXcoZ+moj17QGN8n6dRQiXE1AafnCyb0RmnVrPDJHDmTvRi4s9a6ZyebLPnEm8ZTcIqRR/cwtQA1nCAn59OgYbrXIm66JjeD+5rx9n1Uatn5oyv46DkMR5m7k6V1rcH//gu8h/sufX49gvOr2b3/9CXey9cQBHB/Hxv6qOsB9vzS4RCy59PmgcMi4UpZlLiA71ceOovaWrzLETKZLKQ4s4t36MxXG2TCCnJ3FAPMUlf5w1RGOpYmSlk5LEyyfMUNQ9T+LtEH+yR1j8YPT0lfHt0YDXYjKWAuVj7oRexGZSxAT6skZzUB87UKeY2Eenif+ME2SV2jxyn+j15he333kOW3Jp88cUJw1MUE267QKLYEVxF24FKc6mCP6MkeehSjPj2ZBu3KxK42NajxBP8oxe8NHPVY1s5t7rrzdN4nz/GySTBt4lradhWEfA6ubVQ1KUq+bdFC8H3kwSGmWUOfuABddNhyjWKjkMBaeDnL56kYsDDZF+hAeAU29Kct6PGzJrk7TVAK/eoc+/ELFJn/n7NmZ+MQgINd4r2mq9JthwTGOAvi3j7JYQcVpajLPpxfuclczJDkE97zsA8PiNsBCBgRVCNAex6oeFGhLCGMXSd3QzFUWowbrK5l16ACoixBgNrf5fwvPuLsZwEjPJYD6qfn795qKI23GAxcShlX2Fd8D/3oAfGDbYeOO7kifX2CWJmfoKKQVpPBtw6ycmRQiYd/se1WzYzk1ZGOpLPinKMT6pPIpUETlxa1kwmIkB5sMdkPgIBa+NB1Iy9UExYtAXt57RCoo9GUNLfy+ozCmqRSIc/FRcpStP5U8dorAHFLlIo62KP3k3tMOpqw26T1oyuMVsQtjTcU0u0G+qKGHY7wnp2w7d3H+gpv4ijYmicJ+uTKuT2AajWJ728RdwLSmlDX++gfjeeCf8DUtJdaiGm70n2rHaelH/hIp83k8TZxy3O/236Nhu/Bp68Wrw1cNsZ3v7EYpsQyxTRllVvyBeV8XD3olT4nsLRiMVtxBz9zn5Ofc760mkDSzCbKO1YKRR4DvbON3Wq7nPpll/QiSytVwRmyh0FtbzH+YI9o28UC6gLq4mrGA5GLEtjZclyOCiS1GO2KcXIuAPvoHjbUqO4IXp+6yRlF2PNLeP8RkydN/MsW6ukrZ96OE9TEZYXiToB3sAeDEQv4i8wSAGaxh2UWUkWgT9VrSL3umrRMsmYrxY5Wlfe14vM89ZrHDYzJaN0za2kSoScO8xK1FJP7bVSUIqlzL03o4dVqzuK57uL/0RB8j/DDhivsGgwxWYNalHItDiWrhUg0ccvHazScC1aBSZB63cUdACugI4OMI2ynSVKfTXSUs0ymjN25RZTHDtIU/fqSQO2RNjzUJMU7unQEsUX+h8B3Yyy0tLuJ3BHFUJC5EuUZSYjkiYcK2PTU7VgSXDSeZIxKEFwqWh9dv1s3IhuDNW7cqtVk/NOP6b4fgIXWqw71f+2owYirQTWiHEFpWnfkIjoWVJROse9zzMvZw5BXHeoJeGPjHvZmw7VCv+8q/LRWeEk69c0lDBg9ajHe8/C2PNqTA3j2EnV2ib9TJ255jpp+2qJt8Trn39rSqj6ffZmjkX94n9HX9zG+kNQU3tjQ/EPjqOKnLuViGnYhQJspBbW3S/TVe1gteP0I/fLMKWBjSc/OaXwbVPSA8b5P3NG0ftibBgr1MML2syBrHhBM01nn6Vwh5HGqXg/vsoH1mphQuZT6qpRgkrgWdtY6du7LkQsYNmogOGQpgAWJkmk6shyAtKSYyyvUYIDyAzCpIzAquAxSr2G+8pBoO0SPU4IXF64+5YsHibaVMYK83kC2OkgtnCv5BabMN4QhTCazUt3Cg2PjhNb3zjnYOiT1YevpBPXpEekttOjtLs2A0iR1TRo40y9paCQMsZPI2UrZSjCn3ETBaIyKLWHXEFxGyNEZppiDLyrH6x7hxRay5RH0UpKGYvCkQZND9NXQUbalmc9bD53pnyQo33fmaP7s1Z0fbbo9gufn6IMtSIwDzrA40cuTd6rIC2Z+MWhaHHe61SRqO44C44kbR6F0e05KfjYwz8Pg+0RfvUf3gxpWgz/waQYabzCc0sCnJ2eEwxH+Vx86RXd6iXd+hdRr2MFoymUgWiNPHjB+3KH2yQX21TEo5ZCU222Hgzi/hBevCUY76N0WMsn6gGa9JMpien30aw/VbriS63NnGcnFNbWTOtFOSBoqgssITi+h6I4UeCGALFXvMjrT36FILbe3w/iwTlpTRNseSeseje9ZuFgY1lK5G4rBkiVkS8pBa9T9Q+KHO1hfIZHB/9QnPTlzSmF7C/PwALQgcYo+72LOzqfBL5drTzHPXrB3egGe59rZT1ZQxL3V63JWgx0MaDztYnUHPTbUn145ws44npr6rkW6mRuXue5S+8NPkSCYFR8VLCbRsxUs739YDwOSe9uM9h134WS/RqM/QcWz1KVVOXjHlfd6vZhQCzpyRUR5w9X06BjJFILNq/QKcO4FFugy4UpBEeRw9iImQz1/TW37fcZ7PmE3pfHxlSuQsmbRUsgrDPd2SR7sgBK8ZyfOIgBEK+K2N+3kjQhJw8PLFo18MTH9AfKdj1yaLx9T7iKQpSvrNbo/uUPvPU2neUBnOMZutXjxV/cRA83XKZ0fBvDhp0ickLRDpGFh+yHBJyeu9qFcs5OmDoR3eTUXD7CDAerDF9S32i5+cN3Nai+y8QSBcwtyhVnINOWuw0L2wnPPhIosaU2IWwqz04anS5/UBbkbimGJiOeR7rRJ655bUXyFOtxB8km11cY0fNe8I/Qw4S6ep7EvX0MhQGfjhLSIOPyskJCZkjPjCfKjT2g+cyxBueKSeh3ef0SyXZui5aaFT5m1Y4vty0tKQd07IHmwgxrFyKevMb0+MtRwb9vl023GxzCaoEeOsEMmqeMFNFmQsNfD++Fz/E7bFSPlDVWtcfN3vNjOvso9cJyGbdjpzAKZWVdnSu6FuxSLue4R/MEnhFtt59v3+tMJVc5+5C3sxl87IG5px3ug7+PFceb7O9o9q11GwRRcz7y7FjnMPAVsNDeppsE55QK5k45yxxDA9+j+5A7dn4lRA42KFc1WiFYK22kyvOdIaHRk8C9abvKXU7AVKUgRB9Syo4zwpYRpkGYD7h+QtkOsCHoUI0dnTpHl9ylrfjsVY5DLLv5Bk7jh4Q0sJszQwzeQu60YfI80ayqrI4MVwTR8FyRKU8dU5LlGn6mvULFCdtrI6Tl2MpkHBlWV3b5rKRbhxPMNdEUJaneb629tARBtBzSVgg+fTrcrB9mmK7MS1P4e0Qf7THZ8krDBdmIgqy71ji5phO6++eeO7dhr1EjbjuxF+sMpJbtNEmzOkwgVWYUUqai1XqCnv3dA9GSPeMtHjw0q2sE/6ztlN5lkAKsZkUuOxTC93hRvUM4+zIlSbpGoKXJA1mQnQD86RD4cY5OE2rMrkvouxnfVoMF1VB14K4KkmKUz1VbHuXS1EG9iab+wtD7uYQcjV2ugLNa3qFTQ/cyvT41jZ1KuoE8Go1l8AOYm7VxAsoKRqbidiCBbHaKdOmlNYz2FCTXBsA3D0QwYlTWqKWI0TLeH/6qBfbxNGii8oUVfFJijN5CNFYOIaOB3gZfW2v+ViOwC/xXwAc5I+fettZfZtn8P+Nu4J+E/tNb+09UHZ2mqynrKtZQPXJpHjxPE05g0RV33ka06NtToSTrDgy8rTPk8lEPx3HPiSGYQMup2iHfqDkqcKYal3Zy0do1VWh5poDAeRIdN/KcuVmHOL/CzzIWduE7NcnyGN2xBnGTsQ/MPZdWZphN42ThylOVWh/ixUwpxwwVBQWOCDrXeEDlzJdZVx5vDJUzhznbxnhmDGk5QsbN8jOcm/+Rek9qrhos9vTiiPZ5gGzV3jLOLad+H6t8jMyu0hq884vKnthEDtbOYrR/2Ub0xct3DjMd0ftDj+itbWAWN0wR1cul4Gy6uabxqMtkNqZ1mvIsbNntZcANKpdZubG4hmCJUa/60yGxqWZRLAqyF4zPCJMU066jhGJu5XJvKTSyG/wj4HtDJ3v8y8JvW2r8vIr+cvf+7IvJTwC8CPw08BP6ZiHzT2srEXCZSAfsFG8V41yPsbgNSVwgjicEm6WwCeJr0cNu5E6lBn16RxsmcKVomUP3clENBrLGOk/B0h/FuBqVNKyZEBYGNBD5J3XfmZWTACka7FcNGsQPXZDDm6cPXH2T9IdO5Br0Lnaiz8+RZoKrmtuUW9JIVMgGOfFW592lNOb5FqM5oFM8X+C6WkvFvzNUyZOa/nJwTtEJGD5oOlCUW7zKZclbaKHZNd8qNXJalPnOMQb3G8EmbqCmkNWGyFRD0fHb+RQ8zGEIcoz56zvv/r6GLBV31MIOBO36vh/fdp/i1GnY8zqyjmVWwcK7AR1pN2O6QE7PYwWAOtTiVSYSapFm3a3F9LPrjGZFMliVRzYaLmYwnWZFY6izBkzPy3h03bbC8kWIQkcfA/xL4FeD/mH38C8Bfyl7/GvBbwN/NPv9H1toJ8ImIfAj8HPA7K46PajTcA5ERjlhjIYpQz48JJnuYRogYg7pwuHdwZnD6+gR13XVaP06m7L8LD6+fUZVNTeXPXzmY/gD/j57iH+45otaTc0w5jVqRnnWfW1RsMCjwcaXnnTZk9SV2PHE5/MwWyHsnVk2S6b3KIdWe5/gh0xTMks7XhfHY8RjvakzqN1yZswWJLSoy8xH6Eg9FHrBU9Ro8eUDaDND9CfLqeIaNMDPlYIZD1I+e0xzeI95ruony6jTzz2cowykFfNH6WAU9x7kmSdNZIZJA1BbSvTZy5kL5ZjJBXhyVSF8cfZwdjR0naD75deHe5DGMrFpTHhwSP9gm7nhICn63jf/pGebicp5vxFrsYIC+qCPtmismvOy56tyClaF2t4kf7zkEZ2zwX1/D6fl0gZjrT3ED2dRi+E+B/zPQLnx2z1p7lJ30SEQOs88fAf+8sN2L7LM5EZFfAn4JoOZ1sO89RNIUOXV8hrlyML0eDIdTcyktUWqTpq6uYoWI7yEP75EcdvCux8j5Fenl1WqeyLcha0q/bZqSXneR4XCqtNZWXOLiFXqckNY0oi06BjVJSR79/9t7sxhL0uy+73e+2O6+5FJZVV1VvUx3z3CGw01DmgJtY0wZtEwLkl9k8EEAHwjoRYBt+MEiIcCADRig/SD41QPbgAGZpgnYgigasE2JkoeAzJkhZzGnp7fpruract9u5l0j4vv8cCLixr15by7VNdM5Rh4gkTdvxvLF8p3vLP/zP6sM71Tx+ymVRwfKdZCjO+drSeaHmtHQpettrCd4x0NkcydL9c1O6ML8z8hO3GisvI5hFhMyIBOr2IDj3tS3LlWVFkphpYPbWCFeqSmNXOgRnjSV/MSVJrXTVa+AVT/O8AQZrVohcy7SzD2cX8Hz6xmOqD0+YdTpkNQgrYA3UjyB7memltZ8k5zysYwucNJqQGo1w1JW9J6HbdaIW1pwJg7SSoQZdzA5g1NpArvRGDZ3MDt6n2327hcxBRFcXWMQNtDYS7LeJBhNYDBQgNNw9EKYnQsVg4j8DWDHOfcXIvLVSxxzEcrjjLpyzn0N+BpAq37Xpe2KphxtVynAMhLQohBpLlq9VBZUJUqzwfDNNcZtj7AT4m00qHzgk27v/nio4Ba5BmXuhjhZjvifsxhyTkdv6xCvektRlWOLv3/K6EGH/m0PST2cv0b1pI87Ol5qwpdxBWZtleGb66SVbOXxDMFhpWAnKsOw58fmUg14mYcJJq/sTBLceKIW0HypcD5BjUC7SdKtKojKOX1T8gmy6Nk4q0Qr89H4RfesLFm6s4yBKOjukwT5+Cmr/RHjByskdY/K7gjZ3C+eS16RuYxlSTyD6XaYfO42cSvATCzVD40yTjun1sLGGgdfbpFUYbSicaWV9xPMMJ51e/LLMKhiWZCSdE7BUjIYYcZqqeHARhp/6t97hcPPe9z9eh//3cczTZUvI5exGH4F+Jsi8utABWiJyD8CtkXkTmYt3AF2su2fAvdL+98Dnp9/CkX1pZGHNCt4nTbp9s7MFhcWIs1VZ+qvzFe2GpvwYsOk6eFFhnCtjezt/+jcivJKP18AVh73efsu+3+aYvf2CdMU121p5H3vgIrv0b+7ShpBWin1Siyff0HkXwJfiUYjo/tZjbo759TvH4/PAJVmgE15ajXnbLjCNcpQQTp5k10Tp4oIPa9WJles8yzV55TaS4aJSdaaON8QbB5hs+Bk0aLu+TbR3gGVahXXbeHurKrrWuruJCLTLtcwBV1VIpJXbxG3A0VxgqZ/s30kDOh/YZ39n3HYANqvHXJ8WOfunyawvXemJwRMz7GwUCzjpHBHxwS1CmmlSVL3sIHQvx2y9Wsx9+/u8NS7w2s7Hdi8mtVwYXLTOfc7zrl7zrnX0KDinzjn/g7wh8BvZpv9JvBPss9/CPyGiEQi8jrwFvDNC0fiHN4wVnRe0XXqCpK/GOUf1Fx3JydEuwO8oT5cEzuK6rdyTUNpv08lJYsl/7nUcfPzX0JJ5c1f3aOnuKebanY+36b77inNJwn1j3tFfn9eYZ45X26WGiE4tVQ2NciWvn5bXbwwPHNdZwdkz/7k+3h5BmbuHltl3gqeH+OfjPGPR3hPdxXLUU6Zzj+X8n0qn6v8Od8u8/mlWiHt1ok7EcONCv0v3kJur0+Vp81AR2IYf/4uu//aKru/2OXkK69gVrtTKPQCi6FcoJSGBpM4gn4CJ/0ihYjvk1QFMxFkZczRXoPWtyP8nZ4+uwLQFGj9SBhkcYn5tO1s+tONxrCzj0kcvQc+h2957P2ccP/uAVU/ZvggxjZrZ5/XBfJpcAy/C/yBiPwW8Bj429lg3xGRPwB+ACTA3zs/IwESJ9o1eDyGMFAS0Kus4AsmXRlQ45IE+eFj6serVNbbmNMRPNue4hvmtv9UsmTVKnzy3ELJZUFF6Mzv+TiFTBmdZsx7IzAaIz/4mOocsemZSkzPaBmyl3WiyohN6kcKTrKNGslqlaTq41V9wt3qtLCpUA7TWobzCtwkDDBrK6p4ssxIGcrsJjE8eV4gEW2pA/Q8E1VeJCX59V2lOraU549rgg08jTlt780EL/F9RquBNozxhbiaWylusRthtTCL0Rj/6T5Vbx3nC+GTQ+xpv3BXGAxpvXtMGnU4SirUNuHWN49VeWTWgmnUSd6+jwsN/v5Q6eHKzNc5kMzzZtvXJQlpZDh5zcErQ26v9Pi51ae8e3wb79TTNnhXlCspBufcv0SzDzjn9oG/tmS7/xLNYFzuuEminaIBCuDfi0/SRfTobjwmfbaF7OwVL58Evkbgs5dsphjrZbsWme9NoNmVokPQRW7MOf9byE2QWqVUW5SOzBGT62vE91YBNB38ZFPN9+EIubVGslrF+goAMhM728LO5NkdinPPZ4ByBSZhgDy4y+DVDknV4I0stU+O4dFTCrZmyO6FXX6t2YQwayukay2cMZjBBB4/P1tpuug+Oaepv/4Yt1rBmzjCE1u4S+XtZDym8egUf1TD76eEz44UfToHWpon0XXOYff28XsnYASbEcKW+S/M4+esHp2w8o1IKyuHQ81ooK6OtJoM71RIKgJ3I7ppCp88gxzw1Kjj7m0QtyP8oxHydLugrg9OYvxBSGyF3ijin373Z6k+DHnwrQnyfO/KsbRrgnxcDqJZJPOr07kAnNI2YtQXFs9g1rrYjRWSWqBcB093SfcPF6fmriJltKOd9q3MW5FPXumqj3swQJ7tZLT4M4O+nKIopwvLCmJm09J1ZGa16XYYvbWBDXX/tOYT7R4q0asxON/DehmYbGzxD/oQJ7pKoczH0mrihkPNBi3M2U/P1X+9o6zQgfZDMHebVDajmRWvqJ8ohlqyQjIgklnp0v/i7YIWLjjxCXvtKdlLFlwsk7cWxxPJ+Cd2qSYp1cBHBiPcyemZjIabTJAPHlP72NcmL3dXMWGA7BxAv48j1ZTunVvYVhVv91hjFUmiWaW8l+WCd8iOx8hhipz6U4j2zAYZL6aXMW7XI1UYVnlF7Gt3OH1V4drBMFK066On2rrvyT4rP6jSP6qCrfLg44T6u5sK8spS11eR66EYLpqHi8zqUmFNUbpcljMmfdZB2UOJUO+vE7fCAlEZ1u8SfGc4rVV4SVZDcU7PI77bZdIN8caWwYMWYbdK+MFmwc2Qb7/03Au+LxcyLZNyvYFrNYoGqkhmEdi0yALIwRFBu4aNfLxjZVR2r7+CDMbI3iHu1TuMV6uYcUr4cEcZouo1TY3FsXZRsomeq1bBhpJVT4JJySo57SxXwYI6ivJv8cCutkjqhuA0y14A+LkV5sHbrzG41yA8jgm+/6h4juL7mPVVbKuGHJzgtnanTV3gTCWkcw6JYxAhub/G6YMaUKe6Xif83kNtjNtucfJTqyRVQ7hepf6uaAdv5lyNeWCa72s7uXoV26oxvN8k2h1h3vlYreaDIxofVPEetEmqRgva8nLvYDpVbQBpKthaiGSclfbgkO43DO12HYlT5LCnhXqLgpqXkOuhGOTs6j77f1P6qI09TbuFazVw1RBvv0e6tTP1p/PVsVrRisrhaKZnpPg+tuqT1LUdGoLyHdaqipnIX9RPqxzKmYA0xYxi0jACZ0gjYRiFWP8Vom+PdfWdD5wtOk75u3y7ZSAozlpXMhjhjS02MPiDhPDJfglM5LCnfcwPn2itf6dJfLetPSVdjcj3iLsVkqoHVQ9ev4V/1CJpRuRJ6uCxr3wK2bnMxGE8DSh7Y0e0dZqBb8qW1QUvrnXI6ZDgtK7t5GKQ1OJOs8lfr7Pzi232/0qK1494e6uLPFEXw9xao/+FW0zaio+oPTyGT55NMSxlEFR2LmfA1KoMb6tZL9Ypjb6f0b5XQpKqIQ2E0apHZbWJ7OypwlqEsszeOanVmHzpPpt/tcLgrQkbtw/Z/5Nb3P8owp1mzFZPNqn1+rhKOA1exrG28Ns6pBmn1DZDzbI93cXmEz9JtI/nrqc9OeYVwnlcEQvkeigGZkt2RaY3d5GSMBvrTO6tFP0EgsDDnJzMAJ28tVXSOys432BOJ5jNHU07gU7ScUoahhntuRBMrNYVLDpndt4ZuaLCcLFiD/yNGuO2p631Uu0gJJVIASkltuulk2WZglh23pJJ7pxgj4610Uvga3emHHGXv9DWYIcjjHXY9gbWN9hA61Xi1TpmlOJaWu2aNJTLwQZqdTkBb6WJHBySt16rf8/h2g1sFGBOBrjtvZliMr2k5YtCMfbNHarGEN9qYhKLv3WEHSiNmhjBHziiHQ8boNWdAJ5HstHWsuOM2n74oE3t+FS7YGWB1zPpYWtwgyGVnTFpWMUZqG5pQNw0FbwU9lLGHQ9/qAVKl3kbpFHjyV+LuPvLz4i8hPd/eJfXvzuexWtYi6tViO+0wHYINo9w23tqFeztw8EhXk7MkxPI5PcuUxB6nJKL9wKu8bVQDCKCd/sWrlbRkuD+QP2/yeSMmSmewbZqBaRUe/iFRCXqMQl8bLdF0gxxIhjfEEy6WTcr7fPobx4SrEYcvRHgDDQfTgr/sDjneStxHhleelFnYwD28Ijawzruc11NXSWO8FCDUJd+eJcNVJ45v/rZbjTWLABkK8uCVGYG+jH9MdIMleUoa/zj9wZ4Y01feqO0sLhM1t1JRjFFs9kkwe4fwOGRkr+UgnHLFO0yJeEmMTzdJNjZU8umDFA67rH6fz+h+72moif3DqYAoMRmJdGZe+IBUXj23HPjcZMJ/ruP6TxvakaiP8Dd22C4UdMYRz8hPJwQbB5i9+eU66JH4xxMYpqPYSt9heZDx1sfDAgebmkZPjoPTLPB+G6bSTufmh2CI6XGL5CX5eCn5yEZv8O5Le6uKNdCMeT99dJIL9I/bWKOm/BsaxrMycQ5hxmM8Ua1YqWygZnmi3MxILHFWDVjbbOCqdW0v0BqsXsHVHY6jL8SYH3HeLVC5ZKEmVPcw/IXYVH6zk0m8PAJ9b0jpFHTF+74ZGrK59stcqUWuQ7nySLEJFmaMVny8pagzi5Nka09QmNIOlV1PY7HyOY+1VGs/v1hD7fSJl6rgQUzTuD4ZJbKPcuUFJfiZRZSEEI8KdrBzzebPXMPcxBVnJxZBV2qdHBy3NO0ZNZfwpHiPdujFvlM2gE2zJrzpqm+L85NY55zVphLwQ0GSL5YNBtMVqskNQ9vYkmtISDB9YfTVvPniXXY3gkbf/RQFdN4ovT3GYYhn+iu2yKNFAthAy2eKqQUK5J6DVY6uCjE7B1OO28vA0NdUa6FYnC+Ian7RWNOJ4LvCf6wq7GDMqY3TWHvkKBdY7xWRawj6E2Uait3P+IE73QE3SpO1Ed0gacY9pMTffBJgjnq4/ebTNqKFCzGMx/NLz6Wzfzz0z8LqxbR1Jw7Ooaj4/kdzp57kQJ4kZhHSUlc5M8XyiFFi5aebBIcaRej3Iqjn/VrsBZO+4SnHS11PjjWIp/cPC+jLH0fs7qilly7gg0N3jBRItPt3XNp4M9cx4K6D9NpE791F0DjJhkLeHpwiD8a49+9RdKq4PdGOkZrL15dM+VSBjCJdeCyNcEI4nuXGbm+c6MxNo4VLFVa5WeOfzrEHzRIqx7BaUL4+KAgei22abewd9eJuxXipke4ViN6fIDb3l1cy/ECci0Ug9qZrrjpaWTwRlJEYufdCTsYYB5tUj1qqeY/OJq2UAN9CMc9vHadpB3hfFHG4zCYroaogrnzr5qMVyLq7+0W5CX5MYrhzQFtTDUsCEJdksy6HXP7Kyzbm/k+d0HOTbt+2ozIvN98GeRlqfYB0TZ7NqtbmeEOKLtQk0lR6jwDOCqdVzyDPHiF8d02iHJeWl8wNQ8brRH0TqedlJZdy7y5P6d0Jl+8x+Nfi7A+dN67x8b/PiHNGrza0z7y0Sd4njctupp3aZYBzTJCFxmPCY7H4LJAqwOvH08p7y4jmSVSTN4yaKta0QzQcY/wwxhqVRgMsSenMw1/xPOg02KyXlV4/8QRN3yCZhXZ86bNeXPJUrlXlWuhGCSxeKNUA4F+hpmfpLiTfGWaTWUJqSqCvHXaHIIRtKTZPNkiiNexjVBTOFkUuywm1nO7ekXBTufEDcQzqq0fbJDUA6wvRHtDzMdPSeezCtMBayCkUA6e9rW052A3Xja46rxjzoGSytu7rKpSXEaNVpaSOV+4CwtQlgBSrZKsN4kbSoOfW4ZWIA0MQQ79XQT2EnU9pFadls2Px7O8B4B/GtP6KGK0Jupzz117UXhVvhd5ylsEl7NULXomVinyzaNNom5bF6wkhcOe0teVz3dVHEoQaOXvWkPxNE92FMo+V21ZpsaXONEmvQOLN7Z4owSz38Om6fJajp/IvhKTmPCTPVyzNn14Rz1srzfbim3GX05noviFlPo22pNTZDjCy7SxzVByxUu7vsLJazXSUEirTRq9NdKnm8y4CW5KAy+VCHtvncOfahDXAQfm9ZBOp0LwzffUX1zwUjjrEFEaLglDCAOFBmcVpHMbf/r7mR9nmZUwX4w0v8/cql8oiDLC8SLcxHyps51yMmr35awTdG+i2aBFVlfG1WDffsCkFRVBTjNO8Z/uY/f2C9Shef8Tbj2u6P21VnP4i645+5wreVbauMDDpA45OMYe92YDifn9sEbfp6yBz8LWfy+QATCNOuM7LS2A8kNqbh15fzBTKi2+j7m1RrLewgxi3PY+lUdgaxVlZ+qdYMcTCnzHp1QKcE0Ug3NWYwk7c/Xyy/L65X1LOH0JQ8zqCq4SYkYT5XUYjaddkMvHMqLkKJkkVUO61oLnW4t7JzhRWOsoUY2c+ZhJAIONkE61gkwmLIQ451aD8bFv3Wdwr050FBP84Cn28PDiPP4yuerqdB4OolyUtOT4Mx2gFmQVZlmjS6b4eEywfQy0sRUPSTQgHG0PMI83tTR7gVLACNxaZXhHO0lLApIaaPhIuoIcHhXpOTse6/2fn7TlcZah8u0W6asbpDW1/JwnBO0K/oeptuMzMMN0DeTELDN+fO4OBIHGLfImQpdQ8CKitUG+lkxLCmk9IPCMxi0yN8CsrTB6Y42k6iFphfqexmV0E1ekLGeaGM/LfHD+ArkWigFHBpHVP+dz+XkdvYShAjdKK22hFKpVxdJ3GrhIgUt+swZPssrD+RXUOtjao1mPiFsRYh3e/snSkKJLU/W1t3ZpPmnQvx0QN4AUouO0lA8/G3jLr0WsxYY+p3c8Brc8GrXXqP9lSLpVKui6Cqhq0WQ6Z2LPfHfeea4Qj5j+WQqOzUGaXazgG793gkSRTtw4xg1HGtdZ4r6JCK5R1ei8ATxFT5rYKZVfvuGSDMgZyaHTIkjW6i2NTMFloNtoxkLmlcsSC0xEiXntWhuJNW7Fce/SysGd9glOY5J6oOxXyWzKMUeQJlWPpCoEA6fQ63JPjSWWwUzvzCsWUl0PxQBzK9NsJsA06qRvP2B4p3pmpZ3J0fseNmOVxkHSrhKctLPMBmcelB0MkB98TBQGYJ3Swp2zeivleY/oWx8S3blFvN7QrMjjPXUjLrrEJCF4sod8+QFxQzi57wN3qR4eFcU0n8qVWBZAOy+7Uf59SfDUoi5T81WWC1ONxydgSnGhc86RiwzG+IM6ztOSZskUg3c8XIwdyKtH81Z1MNvyLgXnecqkvFlB1prY0NPu270R0mxosVJ/oDyZub++SFkaQapV0vUOSVsZuIPAQ4YjfZ7nKd887tEf4L33Cd7aCq4WKadjMgsAI0kxiUOc4A9SiEvcCuUUZrOJ1KuaCh0OladjWdfsC+T6KIaylLWzGGSlS+9zddJQiOuG9ukt6PWgXKGXpkjvFNOqYkNfIbOeKZpv6GHnUohZg9dLU19l8Yb0tI989Aj/E719aSlvL0aWBjCdVf6Bzke32fqlCKwwWvGoNeraxnxZD86XKedZC/Or4gWZjZlyazFTXs0SNHi2GIqLsryzx3cO2dql6nsk7aqiWMcJ3sGpIijnKzKzQKVZW8HWq8qwDHjbB6SHR9PgZtb1yz7fwuzu42UErclGB7tSU+tx0EQePdMJfk7sQOo10laoAVURpB0RVCtKIXAJF9GlFtcfIqNNCIJZBKXReymHxwS9JriAYH8wC+cujSP+wj1GayH+0BLtjzAfP8ONxmeDsZeQ66MY5l/C/CU1AuMJwdAS1z3EataifKl5cM8d9/B8H1nv4DxRwE3+YM95IV159VrCp3AmIJfOms/TTeXclcJNJlQe7hP+1F2SGtqxWGR2DFeVy7gf89fwEorEilLuwMesdLEdRR6a/hC7s5dVss7tNBezWMbnoCllT2MHj57i5UHlNNUVdUGwUjyDWe2SripLU1rVLIjvupjRqMRfmZ0jL5jyfdK1FmktKNwKsU7fpTwTksu8kkgSsAoLl1I6t2hIe15BXPl6s16ZEgZQqSBJUhDyusEQ/4OnBDkT9NxEV3CUR1L3SSqitSwuorbb0Pjaj5qP4UcmZd+o5M9JnkoaDKk/PKGyG+FvH8PO/tnJnOWI0719TL+vvmySKP132VLIOizjedqrcDRWNGC+yl8FVDQfwKPkBi01yz3c4THth+vEdY/mx6fTCPqLTtTz9jvPOli03aKA5bLiLDGYehX34A7j1RrWU5i36VQJnFMXbsEEPq+Ssjh2fu6Uoh/pueueKPpVsSqC9Q2SNeN1oV9wPS4U31crM7G4rNeHGcYwiReb4blysJr5CraOkaQJRvCPhrjxkl4WiyR3BbIiq/T12+z9fINJU7j/T3cUvm6tktxAkREp40qcczAaEe0OiBsN0lDZuEhU0UiloinWK/ScuRaKQTxTBE5mVmHPUxPv7XvEzYDqkx7sHcz2npx/aW1Gd1VAbUsYB99H7t1hcr+LDQzh/hDz8XNlol4GdLn0RSyxNHIpFIdWMNa+8bEqpxxNWN7nKmO4bGbisse8TOAx3zQMcPfuMFnXVu4AiQfBaYpfiWbbuBfDuSDNyayymLEk8jJ7zyvcwOL5OlXu5qQPzYpmL0CzGZMLWsGPx/jHQ9JGpOnQUYJs7U9jE6XzgwbDCT2FQqcpbmsX/+BIS8/H4ylE+qL0Zel4Uqsx/IVXefbVgFe+8px6MGH/+at0nm9PFy3rKCo4Z/gvlEfCfPiE1vEqttvA9IYgQvxTDxivZrUhD5cPZV6uhWJQPkDvbNWdCGyscfj5GmkEcbNLC5CPH2MX3XBni+7YtBqYJMUd9YqSZmnUGb65xqSZv/xVKj0trvpUBC3nrapkL/qckrAnc0G4RXIZJfFpFNkii+YSKeL8f9Kok7QixW+NUmxkkESxBnI60FTagnTnMlnW/KZoc7++Rnqrja0EeKdjzNPtjCxmGjuwh0d4xmAatcyFtIqMXeLza3GTljt7WfNYl9pp0VIu+Rg6beytrmIfTsewr3UKrh+fbTJ7hfdJopCtXw55+68+5HBU5fmfvcbrH84t8fl9mU9H5u9ZRmgr23uqFL70Oqf3K1hf8MdXe7evh2IouxLlFym1mONTKkcdJg1DXDXYegSu1F25vF9uTt5ZY5RVwfmnLbz3PikKlSSxOOPhxQ5vkCCDuRjEi/reJeVwhgOhrCBywJRMXaEZSPUlsgIvLAtiJUvTl4vuw5wClDDULuSWLHqfNXbdOik6Pr+osp23FqRRZ/y5W5peNALtgCjy8T54jO1P6d1ckpDu7CH7s7GEhddRTnO6SWG5FZN7/jlWItJ76ySNULttdSuEzQrmk21lwFp0rkVyxsrVkv+7fzrmSe916s8tn/vLfdg/0lhLOaCb4ybyc819B5mCCEOSZkBSVR4MueJzuB6KwTpY4EG6jCa99W0FH6XVAO/JDilgmk3I24OLtpp3caL+ZcXH+UISGpwJ8es1bbwxGFL9cIfgtAvW4T/ZPfsCv4R0YVFr4HkzyD/xmNK4lVyLl6IAXsS6WFJ7sAi8tOh7NxggE4tEAiIEpwnBdk9Zq7OOYhcP+6wLOeNK5K3yoqhQCpIhJ+NWiLexjnzydBY3kKcCKSmY80BeQEFHV6sh7azU+rSv5dZ5oZOnzWUl639hfY+kERLVKrh+n7xV/YKLPPfZFDGCv3zMvQ817ekmEw2clyVzpaRe1+MNhjiy0nPDbE1OHBMejvFu+VnT56WnXyjXQzGkKRi78KHZSQzbu5jjHsb3cZMYb6XLwVdfY9wRKgeOYGBpvLODfb6l1sQ4LSLLJnVFoYuLs5Z2ewfgHGlW9PNS2KHnJQuGCp6SzjarSBBMuRLLctX4xsuIh8wHGpdNmHn4dOlve9rH/+AJ0syqL0ut7BcSrrDEXShtsxAinoLr9wlOEyadABIHWW2DrUWIMUuBTcvYq+evUTyDuX2Lyf1VkrqP8yA4jgnee1J043ajMV5vhOvWsJHBxBb/dIIbjKaR//m4wiJlXFosis3yxjxJgjTqSDXr6J7XSmTHNytdhl+8gzdICD58rmCqTClIGBTkM845vKe7RBtV4ro2Pr6KXAvFoDRU5+QTgwD34A7D+00qOyOSesDezwtJS/fxTg337DrV7V1ckuDtHRNWfG0bvnOqueh8hY7dmVjGdCAvaeUuH88JUq8z+en7pJFH0Jvg/+CRUosvslJeNK5wlbEvS5/NTfyZ34viDWmK7Z3qxClZPhdN/kWyEBhVDNdh+0P8959gXr9LUg9Iap6mpEcT3IJ03Jksx0VAqmqV+E6XuJl1qso6T+XXnacT2dzFj7t41RBz3Mf1TpUzxPMwgV+Q3BSB0fLzPC9mYx14IN02J1++xbjlUd1LqL+/i93dn2621ma45uMPPcJnVdxxT5XC/bvEt5pacr61o7VCxz0a332GXWki4yXv/BK5FooBWDohxPMwnTZPf3WFkzdSvFGDxidC5z3HYMMnbjm8sWDGWZfnzCrws0a3bjxW1N0SzMFLcSHKMjfJnXVKSGKEpGZIqhUa/bvw3scK0Frkx/84ZRGgKf+8SFHk/ytvuwDQdVG/iSuLs9ijY+QHI6KVLsFqS7MNmzsL/fpLnbdc6OWsZiQmVtOOJxk7U79fBCEdTt2nZ2N1WfPVPIrgzjpJu4qJU7ytQ6XMIz1zb/LmtmdAcEYp8if3uwxXPcYdIa77pJUNWt/Uuh/xPOJ2hMnneEbuYjbWOfnCCjYQBWbt7ClBMhqM5bh3Oc6IklwPxZA/w0UBsPxjCi6yJL7DH3qsf30LV4s0xTRO8J7tqWuAWiDpaf/Cl6P84l66Td0y//uc7Wx/SPT0GOd1GHd8BvebNHa6JFkhzI9U5lescqBx2f/mrkEn+ZLVbpEyP2f1v/SYlxzbjcekWzvI7p5S012Gziw338vxnLm6GTca4z3ZobpX0Ul1eorNadfnYhG5X5837rFv3GV0u4YNREuhK+sEcayEPOV3OPBViRjRmFcJuauFWD5J1ScNNYaSM2zPUNFZCPop3shqClaE+HaHuK5BYEnd1K2xThXTTyryUZDp6r3A3HLDIZVDS29saL/vsf6nW7isJbmX5bTTeNp5qdgvCwJOv5idDJK3TYMsXblgopw37vKEWbbyS7Y6bO4QNiLiRoOkKqT31pGDw8XdlM6LIVwla7JMiV0B2yCet3iCpumLT/zzxrYk7VtGSWrQYXGKWA9VslQyi5NOCw6Osb3e4rRlahU2fZh9cZ4lWcIRSKXCaK1KknWs0t8+QbOOZP4/1inQ6M4tbLum3CDPdnBpfxaTYB3+MKF64OHyiksHxIlaw2lKsHMCNPGGMe70VElhIyVsMbHDHJ0qRH9mvFe3Qq+FYiDwwXhF7cMZeOxwxMpf7NP8pKE+1P7hlDmp2OgSIJ/yZzGKeWg29euTE0iSqXJYdrzshZx2dqIINJ4ndjjCnIywflPpyFshURQVVs5CWZYyvKxcpFgWwaTLmxZZlSm5THm7hWjF/LjnjSMvdMrb5M11bVokS/tlLrhH5foNU62QvrrBaKOKibvUvvcEe3h01hKAxSnrZZkb6yDwkHqV4Zr2pRQL4anT9GDOVJ2JaTWJN9okVQ9vbAlPW0h/UADAcjxF+Mk+abCO9QP8kaP+uK/vZj65t3cJJ7FiJzKLITgckkaG6GCsXbOKk5bSmleUa6EYnO8hfqhkHq0GUqspJvzkRBXAJIaHT/Afe1jQF+myab4lk0OMYG7fIn5lRVGQz45wj5/NFGadK2XzNP97URAxe3ldmsLWLvVnTUZrId6g1CRnWVbgCijEC8e6SAGcc//EyJS41boMB5KeP6ayz57L/GQXU/SztN0mNvCUjXr/CHfcmwUVLYhznFEQ51lbRmBthbgTYX1h0jBEd1eR3snF3Iil7MEUtDTLzyBRxMnP3Wb/Z1Qp1J8K0bEl2h6oG5Fv5xnsxgrjbkhcN4QnKX6tMnuPsgphu39IdTSm0qwjk1jvSWnxcJMYl/WwyDEO8niL2n5N3Z+cvDaLZQDL06jnyLVQDDnWx9tYJ36wllGSC+GzQ9Jnm5p+Sews4cpVVs5Fq0q1SnKrjQ0NaeQRb7QI9g6VRfoy8QZnET/SEt3BUJuPzvvhcxPQDgb47zyk2Wjg+oOCNvy8c3xqycdwEbhp/nuUYHXy5h2lDvvgsdLXnScZDoAwUPq1+Tw8qFLYWCddaWBDDxcYrG/wAg/j+9rvoVytmll1EgZKvJM1q5l1LeYsCiOKS7AOSTWg6HmCSUQ5E9wlFhWTNTbqtHFRoIVhx70ivgAg9RqHb/kgDhPDpAW3vjXAPHo+U+wk9RqTToW4YUhDIUkNi/rM50VdtncCvZOMrGWO3m2elAWNu2hj3inbdAEafAFrAa6JYiBJwKTYTpO4GWASvZhkrYm3d7CYT/GyvvaCiSFGkCjEBZ76cYmFnJL75OScg5WO53nIK7eZ3G3j92PMoy0FWeWt5nItX455ZGk3StwL55Vpv1SZVwDLajvK4203M5x9SHOvgwwGZ7I7ZV/eu7VOfG9Vfd5RgvfDZ7MkvWIwrSZptw4iOM9gPYMnFlsNoNtSrsO8dsQIZmOdnV+9RxrB7X+xCxmYqdyrc14pmGqlqB9wh0dKlNqtKtJ1c1/7Wyy69vKfIsjGGvF6C1vxMOMWwRMfu7s3rf9IMjYvIA3BjFGu0slkFpUYZkhJQ4EnkHEymymYQWHO3eNSp+55foW8tSCoEjWdNrbbwtYCzChGNve15+ZlLeFMroVicEmK81K8/pCgF+F8A85pN+JFtF+5vEjBUX7O8QT/aEjcreIlaDDnMoy/eYzB94lvNTm9FxLXI+Rn32Tl3SH+B89wo9FSOHBeTrxwXD+KVOWyGMUlsilYW9Ce2U4Dni4/janVmLy6RtwKsIFg6h717YYS9ubz0AhUImwl0B4i1oGgRCmxBV9jD+W7lq63Of48pKGjur9Ke3tXezkUw52NbXjdDvHrtwEIHu9qw5uHzwieBZptKBdGzSvH8rE8D1eJcKHBZUrMNaqwPwVTucGQte/HPP1Vj8qBofXQYrYPZhvrAM5aTGoJ+hZvItp/86g3G+eYc10kDBU4JqLoyySZCSLOwKLJLKtXbtN/c4W44WEztqt6I8J/97HudEnaEbgmioFM69nNbaX/qla1ZLp3stzcvuIkKmCxWVzAjcbw6CnhfgOqFRiO1FS8pC8mnta/i4VJSzh9PeH0QZVba6/jjR2Vr7+j59CTz1gr81bEi1zPC8myYGT5/+X02mgCAmmgk1fEsDAj4HmwvlL0BrE+2thlLpWYv8xmnOgK6kmhHIo+C3O+v7d9RPuDJoMNQ9AvvQuL3MPMl5+shNhAQNYJrCU9OJxWsC5SClmtgVQirZDMyq1ztKFCoJ22ri9NTjseU/vmI97c3lAqwc1Dbeo7b74PR/jHU4avYLM3S5efZ8ZyXMLqCqO3NhivKJy59nxE8N4TJRCetxbyS+i0GbyxwrjtkUYa8xDnSGo+vldyLS4p10MxoCupsw5JepD1mJwtLnLTi1sW6FuCg5AMPGLWVnHVCBmOVQmMxtp7oBjEFSan5yk5h4XORyn+wGdw17H9FY/apnDnzwIo073ltRPZtb4UeVmWxgLXwlklvqnurjPuBsptMH/e/M8wJF2pK8mJoIjERJmJ5sfmBkNYaWADo4CcnP58GGMOTmYZjKzDHh2z/o06J293NEc/j7Mow4s9TxsLJQ7jYNINMUMNNp4hBIaZFdpsrBO/soIzouP5ZBt2DwlESJuRkgAf9WYnfZoq8OjkBDEGO98mLs8KpCmyuUd4VNGgYd6UZ9FYmg36X75Df8PHBmjQtF5lfbsNg1KxmJtVuK5Rm1ZRCiSR4KdZM6b1FQUA/qTxMRSSp/0WuQhLKjCL1CHedPVdoCDM2irpRgcb+ZhJDVOvwvNt5ca7iuSpuiQhPJrgvJD+bY+TNywmFrrvweqf704Db2IwYYBZXQER7MFhETx7KRP6vHFe5ILNBx/nJrwdjgjee0bQacH+IXbJ8bSXQaYUDJjEERxPcINSH49cSfs+aSNk0vGxHngTQ2PnFLb3oFbT2E85xrDaZetXVjj8GUtlO+T1d2raABhVSFJT69L1B9qsuDeE1Yqu4MMUjG43Q55KKWpvLQQByUaHSTtEHMr9MVpFnm5qd/BJjJz0i4j/zL13pZZ/y2I4aaq8G7mVkFHen7nnxmgzmZZHUhPlkrBZcH4JNXxxPYMR3sQChnDiqE4sWEfvzTpi6/gjCx8tfHwL5XopBshuwOUBPKYSYVpNZeE57uGGQ8pAKTGCBD6uVc/Yfx029KBVxRu0SZf0glg6sfL042hM8OFzgt0Wk+Ya0b5h488nhAcjeLZdBB+9Rh37+Vc5flDDmzga33ak2zsveHOWjG/ZWC+4hoXxhnIcplgRT88Fybgk0RhBVttUOUgIHm6RZmnlPA5gOm0mb2ww7gaY2JEG6nbYaoBMYkizld1OJ4GrVYgbQv0Tj84PU1zGdiW+j/3S6xx+vk7Us7S+9VS7Qe/sUakEJK2KBkAP+0pPX74tgfZpcFGI9E6ni4OglpFXalpjLRI7xQ1clPabv9cl8NIZK3GOAEZKWQRnwB8qE3bYdzQ+GcL+0dJn4JxyiVY/MGoRD0a4Ro3Dn+0yXDWEJ+5sw6AL5FKKQUQeASdoGClxzn1FRFaA/wV4DXgE/AfOucNs+98Bfivb/j90zv2flx7RIl9ooQWhXINyd4Px/S7WE8LDDvLuw6lvj5rEYq2ix2yAoMEkG5hpCPAyOIL575wtJs3KUY/VICiCRDljtAQ+9nP3OX6rzrgl1HbtDDntp5JF4132/1zmX47LBG+t9m/Mt19IaGMt5qhP5AnRnsN/npGvlnEHRnDtJjZUMhdgGnyMfHzfV6U+758/3+bu17WTmNk+UCZvwHQ7bP5ig+Ethz/w8Ad3qPyrHnY4Qj56QpC1N7QLwFOm3cpS1R5eq4r5+Bn+3glpXWuTvdMYcrLZwUgtkrJyuYqlZ7NeFAsqKhfK7gGdd0KSVgVJLMHWES4H9M1zRJSsB5coRT/GKD1dtwkOartWs3xXzFpexWL4t5xze6W/fxv458653xWR387+/vsi8kXgN4AvAXeBfyYib7tzyyeZjSGc+d/ZByFZGii51WK0GoADG9SoPa5njV9KQZokQbb38CZtXL2K+AYZxdij48tF5+f/dhnZSt5qLgezFEQsWaTY80grPjioHDoq+7FW410G2/8yMQyL8AtLruuMGezsLCIQZvADgE6g59uYrd0Cnn4mMCiiATybdaQy4I/U9bCRNhx2w+EZjkjbHyI/+BhgelzPw1UjnIGkrsql91pA9duVosHQmZhCfl1Gaw9c3mzIOTAednefKPPh3Wiki4sxMB5PJ+Wncf8WlZOXrbMs2OnGY/jhY/wsPWnzHqkXcE9OFY+Oz+z3qBzWmTQNTqC6f4Uem3w6V+JvAV/NPv+PwL8E/n72/e8758bAQxH5IfBLwP9z7tGuEjXNATj1GsNOSFIRvIkGvbCL9Y8dDLRhjO+rVp2j7lqWHSinw+bjAuVWeWeHqGCU4Ok+7aSL9Q3B84MpSOg8N+DTKoXzgrNz17Wos3d54s8QnWSxHKwrLIecTGXGh18wfuccZjDCP6pAO8KGBpc6JHUEhyNVmItefmcX15P0TqkcOiad6QQXb04RLrQEtdO0OKfPTQSpV3GDgS4UpfGKtbOYhMvKsvu/4NoQM8UwGAqG6ZxTAVSpiudNmyGX2ZoMhXJwZvo/e3RM7fuOympLQV27h1xFLqsYHPB/ifKR/bfOua8BG865TQDn3KaI3Mq2fQX4s9K+T7PvZkRE/i7wdwEq1KbBlfMUhExZkUwUMf7CKxy/EYCF+nZK/aNDDULND77wWZPlXAy64fQ8RqZ9MMsNQMpQ5wXjK09A5xx2/wA5OsYDbByfKfT6kWEXFiiD6TBl4WfddbbZbsEGXa3ArVWta9k7wvZ62jE8P18JLbqwhsKqHyzHPcJKBalVcPWqunh7h6q4l63IC3x3d3LK6p/t4E3WGa4Yuh+MlRH8vP1ySW0GOBKSSoA5ntIblSdjztw00yj2Mpmgyyj6RT5/WUHkf5uMvn5eaXqeBl+hoJnPx58/UXtwCIdHVy65hssrhl9xzj3PJv8fi8h752y7aGafGVumXL4G0JIVN/fPWQWRTdSi6GmtA9YxWtU2cdGBo/5koEG/1GYKhLMv6oI4wdnRa+zCW+nimnX9amdPTdogG9M8eGlRqjTfrhR0ulIm4tO6E/NKoWQNLI2eu9lahDyIa1Y6jL90n9Gq4jaqOw2C732EzZCQZWzGeSQtLk4KkJGUORJfAMvh4gQeP6Nz2KMbhVonUALDzfesKMZpHa4/wOuNtQv6KIHjk2Li5VgCaTYwRoPMLkm0/0Tglcx678Vdi8z6mln5y/dhkXVSzkZ4HvLgLoPXOthQqH9yivn4aZE1yWsopqxSptRt/XJyKcXgnHue/d4RkX+MugbbInInsxbuAHmo/Slwv7T7PeD5lUaVifgBptNGGjXNf1vH8K+8xuFbAdV9S31zQuuhUN2L8Z/skg5HGpCs1zVglGlSkdz3v0DbZwrIdNok99c1eyFCOBxjrIPb69oId/egoDDTw83BrsvnelH5EVgSZwh0Qa2vRl1TesOhplnLEXQjuDtrnN4LwYFJHZN2QBAGMNRg5HTI7sznmR4R+bnzgNx045khXYrgJUsTuqPjM5Ps7KZz685wiDzdxK9Uih6axWTKAEYH/8Y94qqw9r0TvP0TDQCmKQQBJgq1jPtIgUozoKyLnlumFEy1gnQ75D0jyBRQfn9mCvTKnwGp1ei/2WXU9YhrENdadOM7yKOnhUuXHyu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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(image)" + ] + }, + { + "cell_type": "markdown", + "id": "9cb11095-e7da-4713-b90d-22984ccf7378", + "metadata": {}, + "source": [ + "First, we need to find the minimal and maximal gray values of the image data stored in the variable `image` and create an array of possible threshold values:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "96bba8f9-d760-4dbf-a5f5-6f613e9cb0c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n", + " 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n", + " 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n", + " 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78\n", + " 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96\n", + " 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114\n", + " 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132\n", + " 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150\n", + " 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168\n", + " 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186\n", + " 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204\n", + " 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222\n", + " 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240\n", + " 241 242 243 244 245 246 247 248 249 250 251 252 253 254]\n" + ] + } + ], + "source": [ + "min_value = image.min()\n", + "max_value = image.max()\n", + "\n", + "threshold_values = np.arange(min_value, max_value, 1)\n", + "print(threshold_values)" + ] + }, + { + "cell_type": "markdown", + "id": "47054134-8d1f-4db5-aa24-b2f1e08da29d", + "metadata": {}, + "source": [ + "We create this empty list to store our calculated summed weighted variances" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "d5cdbee0-a864-42f6-a11b-7801681bb87e", + "metadata": {}, + "outputs": [], + "source": [ + "summed_weighted_variance = []" + ] + }, + { + "cell_type": "markdown", + "id": "763802ea-8350-430d-ae6f-d64d99cc37cb", + "metadata": {}, + "source": [ + "Before writing the for loop for all threshold values, try to implement the calculation of the summed weighted variance for a given single threshold between `min_value` and `max_value`. First, try to find the pixels with intensities above ($A$) and below ($B$) this threshold:\n", + "\n", + "*Tipp: Convert the image to a binary image first!*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b6b4cb18-503e-4d00-8354-54fa56e9a034", + "metadata": {}, + "outputs": [], + "source": [ + "values_below = \n", + "values_above = " + ] + }, + { + "cell_type": "markdown", + "id": "7f23cb17-f6a6-4c7f-a8c9-67dc37a68357", + "metadata": {}, + "source": [ + "Next, calculate the variances and their weights for $A$ and $B$:\n", + "\n", + "*Tip: Search online whether numpy may have a convenient function for this!*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "01efb724-24e8-4fd1-a129-c8c0356f529f", + "metadata": {}, + "outputs": [], + "source": [ + "variance_below = \n", + "variance_above = " + ] + }, + { + "cell_type": "markdown", + "id": "46ab28dc-2059-492c-b279-c367e6090aaf", + "metadata": {}, + "source": [ + "weight_below = \n", + "weight_above = " + ] + }, + { + "cell_type": "markdown", + "id": "2fc70536-1ffc-41d4-b542-9beef8aa61d9", + "metadata": {}, + "source": [ + "Now, put everything you have just written into a for loop:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "edbaf85b-5fce-4b4c-b6f3-ecaf26f54a32", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\johamuel\\Anaconda3\\envs\\bia-lecture\\lib\\site-packages\\numpy\\core\\fromnumeric.py:3757: RuntimeWarning: Degrees of freedom <= 0 for slice\n", + " return _methods._var(a, axis=axis, dtype=dtype, out=out, ddof=ddof,\n", + "C:\\Users\\johamuel\\Anaconda3\\envs\\bia-lecture\\lib\\site-packages\\numpy\\core\\_methods.py:222: RuntimeWarning: invalid value encountered in true_divide\n", + " arrmean = um.true_divide(arrmean, div, out=arrmean, casting='unsafe',\n", + "C:\\Users\\johamuel\\Anaconda3\\envs\\bia-lecture\\lib\\site-packages\\numpy\\core\\_methods.py:256: RuntimeWarning: invalid value encountered in double_scalars\n", + " ret = ret.dtype.type(ret / rcount)\n" + ] + } + ], + "source": [ + "variances_below = []\n", + "variances_above = []\n", + "for threshold in threshold_values:\n", + " \n", + " binary_below = image < threshold\n", + " binary_above = image > threshold\n", + " \n", + " values_below = image[binary_below]\n", + " values_above = image[binary_above]\n", + " \n", + " weight_below = values_below.size/image.size\n", + " weight_above = values_above.size/image.size\n", + " \n", + " _variance_above = np.var(values_above)# calculate the variance of pixels above the threshold\n", + " _variance_below = np.var(values_below) # calculate the variance of pixels below the threshold\n", + " \n", + " variances_above.append(_variance_above * weight_above)\n", + " variances_below.append(_variance_below * weight_below)" + ] + }, + { + "cell_type": "markdown", + "id": "811e33c4-1eba-4fbd-92b5-32334537bacd", + "metadata": {}, + "source": [ + "Next, we need to add the weighted variances for every threshold value. For numpy arrays, we can simply add two arrays element-wise with the following syntax:\n", + "\n", + "```\n", + "c = a + b\n", + "```\n", + "\n", + "...but this will not work for the Python lists `variance_below` and `variance_above`. Convert them to numpy arrays!" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "8bc40bc5-b859-476b-86a1-ed99e8069304", + "metadata": {}, + "outputs": [], + "source": [ + "variances_below_array = np.asarray(variances_below)\n", + "variances_above_array = np.asarray(variances_above)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "a80559ab-b6f9-4736-b590-4653b37c8795", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot(threshold_values, variances_above_array, label='weigted variance above threshold')\n", + "ax.plot(threshold_values, variances_below_array, label='weighted variance below threshold')\n", + "ax.legend(fontsize=12)\n", + "ax.set_xlabel('Threshold value', fontsize=14)\n", + "ax.set_ylabel('Summed weighted variance', fontsize=14)\n", + "ax.grid(alpha=0.6)\n", + "\n", + "fig.savefig('../imgs/8_threshold_types_otsu2.png')" + ] + }, + { + "cell_type": "markdown", + "id": "bf38009f-e75b-4ce8-92cf-8b12d41137d0", + "metadata": {}, + "source": [ + "Now, add both measured weighted variances (`variances_above_array` and `variances_below_array`) and plot them just like above:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "9025d192-767e-40a7-8c94-2e65c89e3ccf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(variances_above_array + variances_below_array, label = 'Summed weighted variances', zorder=2)\n", + "ax.legend(fontsize = 14)\n", + "ax.set_xlabel('Threshold value', fontsize=14)\n", + "ax.grid(alpha=0.6)\n", + "ax.set_ylabel('Summed weighted variance', fontsize=14)\n", + "\n", + "fig.savefig('../imgs/8_threshold_types_otsu.png')" + ] + }, + { + "cell_type": "markdown", + "id": "15f07529-eefa-4828-8a55-5cbf1692b55f", + "metadata": {}, + "source": [ + "Lastly, we need to find out the threshold value for which the summed weighted variances become minimal. For this, we can find the position in the array of summed variances where the latter are minimal:" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "60b6d583-8715-45c0-8210-187ecc49d0fc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "30" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "min_index = np.argmin(variance_above + variance_below)\n", + "min_index" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "f8b5c208-ab4a-473d-8cb8-e898e3b28061", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "38" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Now, retrieve the correct threshold value\n", + "threshold_value =" + ] + }, + { + "cell_type": "markdown", + "id": "e6640cfb-6cdd-4afa-a4ca-d75b266a2079", + "metadata": {}, + "source": [ + "Now, inspect the result. Is this result plausible? If not, what could be the reason?" + ] + }, + { + "cell_type": "markdown", + "id": "062ed850-a776-4b5a-97e7-524ec0df2e42", + "metadata": {}, + "source": [ + "## Compare results\n", + "\n", + "Luckily, we do not have to do such things for ourselves in daily practice. Skimage, for instance, provides a range of handy functions that perform such tasks." + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "1a773fb0-d9e7-4f31-9922-68ccbfd7d540", + "metadata": {}, + "outputs": [], + "source": [ + "# Find the function for otsu-thresholding from skimage and compare the result to your implementation!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0e5b7b86-e954-49db-a7fe-24f0e436ff0c", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 5504f44a3a04922f37519cd4628f85420b266058 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 17:26:06 +0200 Subject: [PATCH 05/19] Create 05_feature_extraction_and_thresholds.ipynb --- ...05_feature_extraction_and_thresholds.ipynb | 386 ++++++++++++++++++ 1 file changed, 386 insertions(+) create mode 100644 05_feature_extraction/05_feature_extraction_and_thresholds.ipynb diff --git a/05_feature_extraction/05_feature_extraction_and_thresholds.ipynb b/05_feature_extraction/05_feature_extraction_and_thresholds.ipynb new file mode 100644 index 0000000..567a3d0 --- /dev/null +++ b/05_feature_extraction/05_feature_extraction_and_thresholds.ipynb @@ -0,0 +1,386 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "9a8e70d2-6bf4-4e1c-b5c6-db73213c8bb2", + "metadata": {}, + "source": [ + "# Feature extraction and thresholding\n", + "\n", + "The chosen method of obtaining a segmented image can have a profound influence on the features you measure further downstream in your analysis. In this notebook, we will use different methods to create segmented (and labelled) images and then see how this affects the obtained measurements." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "368263d5-f556-49c8-99b1-394ee6c54275", + "metadata": {}, + "outputs": [], + "source": [ + "from skimage import data, filters, measure\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "id": "3822596a-e798-42c0-b513-831d683330cc", + "metadata": {}, + "source": [ + "### Plotting multiple curves into a single graph\n", + "\n", + "Comparing measurements visually can be easily achieved by combining the results from multiple measurements into a single plot. Matplotlib makes such things quite easy! " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "efeeba45-3a64-47d5-90fa-06beeee824d9", + "metadata": {}, + "outputs": [], + "source": [ + "random_data1 = np.random.normal(0, 1, 1000)\n", + "random_data2 = np.random.normal(0, 1, 1000) + 1" + ] + }, + { + "cell_type": "markdown", + "id": "9e77ab67-e3a7-4b95-adde-073f6e98c5e3", + "metadata": {}, + "source": [ + "The next cell shows how to combine multiple curves/plots in a single figure. \n", + "\n", + "*Optional:* Change the value for `bins` to see what effect it has on the plotted histogram:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c778396d-cf30-4439-af8c-554c832b4ea8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Counts')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.hist(random_data1, bins=50, label='data 1', alpha=0.7)\n", + "ax.hist(random_data2, bins=50, label='data 2', alpha=0.7)\n", + "ax.legend()\n", + "ax.set_ylabel('Counts')" + ] + }, + { + "cell_type": "markdown", + "id": "d4462027-e4d6-4e1f-928f-4f4cce61928a", + "metadata": {}, + "source": [ + "## Excercises\n", + "\n", + "For simplicity, we will keep on working with some relatively simple data:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "fb0a36bb-0901-4d6e-a611-823baec2c525", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "image = data.human_mitosis()\n", + "plt.imshow(image, cmap='gray')" + ] + }, + { + "cell_type": "markdown", + "id": "af565d42-0cce-4563-a2e0-d6217cb6fda7", + "metadata": {}, + "source": [ + "## Excercise 1\n", + "Now, pick three threshold methods of your choice from `skimage.filters` to create three binary images and three respective labelled images:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8d73f6e3-a7d9-49d7-bd75-e295a7ea4c6a", + "metadata": {}, + "outputs": [], + "source": [ + "binary_method1 = \n", + "binary_method2 = \n", + "binary_method3 = " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1f907542-e0d9-4513-bd40-8c6f40d7cd05", + "metadata": {}, + "outputs": [], + "source": [ + "labelled_method1 = \n", + "labelled_method2 = \n", + "labelled_method3 = " + ] + }, + { + "cell_type": "markdown", + "id": "92a2757f-2d4a-415f-a96f-cba867ba4eaf", + "metadata": {}, + "source": [ + "*Optional*: You can try plotting these three side by side using matplotlib *subplots*. You can create a figure with multiple subplots using the `plt.subplots()` command:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "49e86cd4-af72-4e2c-b9ab-066ae072c76b", + "metadata": {}, + "outputs": [], + "source": [ + "plt.subplots?" + ] + }, + { + "cell_type": "markdown", + "id": "d10e1d8c-a7eb-4bf1-8724-c2ac83cd3716", + "metadata": {}, + "source": [ + "Modify the code below to show the three thresholded image with a title that indicates which method corresponds to which image:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "430d0e4a-ba08-4bb6-8b62-c365f72d2b53", + "metadata": {}, + "outputs": [], + "source": [ + "fig, axes = plt.subplots(ncols=3, figsize=(15, 5))\n", + "axes[0].imshow(image, cmap='gray')\n", + "axes[1].imshow(image, cmap='gray')\n", + "axes[2].imshow(image, cmap='gray')\n", + "\n", + "axes[0].set_title('Title 1')\n", + "axes[1].set_title('Title 1')\n", + "axes[2].set_title('Title 1')" + ] + }, + { + "cell_type": "markdown", + "id": "765e154a-3a6c-4312-8fe3-dc6c7ddb5588", + "metadata": {}, + "source": [ + "*Note*: The variable `axes` contains references to each subplot, whereas the whole figure is stored in the `fig` variable. Since we have multiple subplots, `axes` can be accessed like a numpy array:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "83401517-9c0f-4564-8398-0c986cbe2b84", + "metadata": {}, + "outputs": [], + "source": [ + "axes[0]" + ] + }, + { + "cell_type": "markdown", + "id": "64bb88d5-d1c4-41cd-a106-0bb6f0050fd5", + "metadata": {}, + "source": [ + "## Excercise 2:\n", + "\n", + "Just like in the previous notebooks, we use the `regionprops_table()` function to measure several features. Use this function to measure the following features:\n", + "\n", + "- area\n", + "- perimeter\n", + "- solidity\n", + "- mean intensity\n", + "- max intensity\n", + "- min intensity\n", + "- major axis length\n", + "\n", + "*Hint 1*: The [previous notebook]('./04_feature_extraction.ipynb') described a way to easily measure multiple features simultaneously from an image. \n", + "\n", + "*Hint 2*: Measureing intensity within the respective objects requires to pass both an intensity image as well as labelled image to `regionprops_table()`. If you do not know how to do this, check the documentation to find out how (`regionprops_table?`)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "eaa62d37-88f1-48b4-bb28-1b17de9da19e", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "7d22632c-b196-4c78-b32e-3cabc4d208fe", + "metadata": {}, + "source": [ + "## Excercise 3\n", + "\n", + "Use what you learned above with regard to combining multiple curves into a single plot to see how the selection of the threshold method affects the measured results" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5a6a3591-c517-4bc5-84dc-2aede44ff94d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "895b57dd-36b2-4b18-a7c6-bf6a8762376d", + "metadata": {}, + "source": [ + "## Excercise 4\n", + "\n", + "In the lecture, you learned how to measure *roundness* and *circularity* of objects. Neither of these is available through `regionprops_table`, so we have to calculate them ourselves. They are defined as following:\n", + "\n", + "- *Roundness* = $\\frac{4 \\cdot A}{\\pi \\cdot \\text{major}}$, where `major` and `A` correspond to the major axis of the ellipse fitted to the object and the object's area\n", + "- *Circularity* = $\\frac{4 \\cdot \\pi A}{perimeter^2}$\n", + "\n", + "To do so, retrieve area, perimeter and major axis length from any of the derived measurements and convert them to numpy arrays. \n", + "\n", + "*Hint 1*: Pandas DataFrame allow to conveniently convert data in table columns to numpy arrays with `my_dataframe['column_name'].to_numpy()`\n", + "*Hint 2*: To obtain the value of $\\pi$, simply get it from numpy with `np.pi()`" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0a47ca4b-17b7-4f60-9ae6-b33d16213f72", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "a78844cb-bced-45b7-bd5e-a6503520d358", + "metadata": {}, + "source": [ + "If you have area, perimeter and major axis length for every object stored in separate variables, calculate roundness and circularity according to the formulas above" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "91f0c661-3669-46c7-902d-fa6f13dea685", + "metadata": {}, + "outputs": [], + "source": [ + "roundness = 4 * areas/(np.pi() * major_axis_lengths)\n", + "ciruclarity = " + ] + }, + { + "cell_type": "markdown", + "id": "8f3eb57f-0dc8-4edb-a149-c9749a5c08f1", + "metadata": {}, + "source": [ + "## Excercise 5\n", + "\n", + "Visualize the roundness and circularity as a histogram:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "05bc4a47-aeae-4efc-9192-27f39a24279b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "143d90e6-beda-4c3d-b844-c204c06d3f15", + "metadata": {}, + "source": [ + "## Excercise 6\n", + "\n", + "It can be interesting to plot multiple features of the measured objects with respect to each other. We can do this for any given pair of features by using the scatter plot function from matplotlib. Replace the `feature1` and `feature2` entries to do this for your measured data." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4c646850-cc4b-4685-aa84-34bb60b98c7a", + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.scatter(feature1, feature2)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 171a15a2efe97dfa9e4c1efd3e34badc104da883 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 17:26:22 +0200 Subject: [PATCH 06/19] minor text change --- 05_feature_extraction/04_feature_extraction.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/05_feature_extraction/04_feature_extraction.ipynb b/05_feature_extraction/04_feature_extraction.ipynb index 62df2ce..2bb6d6c 100644 --- a/05_feature_extraction/04_feature_extraction.ipynb +++ b/05_feature_extraction/04_feature_extraction.ipynb @@ -7,7 +7,7 @@ "source": [ "# Feature extraction\n", "\n", - "In this notebook, you will create an instance segmentation of biological data and extract a multitude of quantitiative features from this data with the [`regionprops_table()` function](https://scikit-image.org/docs/dev/api/skimage.measure#skimage.measure.regionprops_table) from scikit-image." + "In this notebook, you will create an instance segmentation of biological data and extract quantitiative features from this data with the [`regionprops_table()` function](https://scikit-image.org/docs/dev/api/skimage.measure#skimage.measure.regionprops_table) from scikit-image." ] }, { From c2d6c63450e73abacee6768028ce5174699c45d1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 17:28:39 +0200 Subject: [PATCH 07/19] Cleared outputs --- 05_feature_extraction/03_Otsu_threshold.ipynb | 156 ++++-------------- 1 file changed, 32 insertions(+), 124 deletions(-) diff --git a/05_feature_extraction/03_Otsu_threshold.ipynb b/05_feature_extraction/03_Otsu_threshold.ipynb index ef3e012..9a8b66c 100644 --- a/05_feature_extraction/03_Otsu_threshold.ipynb +++ b/05_feature_extraction/03_Otsu_threshold.ipynb @@ -5,7 +5,7 @@ "id": "def9b2af-387b-4dda-be8d-01d889bba574", "metadata": {}, "source": [ - "# Otsu's threshold method\n", + "# Otsu's threshold method (optional)\n", "\n", "In this notebook you will learn how to write your own implementation of Otsu's threshold method (Otsu et al., IEEE, 1979). It will allow you to apply many of the previously introduced concepts of Python programing for image data.\n", "\n", @@ -33,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "be7791c0-c596-42fc-ad8e-e739ad3b45d7", "metadata": {}, "outputs": [], @@ -45,7 +45,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "d6f0986a-4119-49e1-b9ae-39e33bcbaa48", "metadata": {}, "outputs": [], @@ -56,17 +56,17 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "2786a8ef-ebfc-4bc6-9571-6a8e07ac233b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, @@ -97,34 +97,13 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "96bba8f9-d760-4dbf-a5f5-6f613e9cb0c9", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n", - " 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n", - " 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n", - " 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78\n", - " 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96\n", - " 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114\n", - " 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132\n", - " 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150\n", - " 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168\n", - " 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186\n", - " 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204\n", - " 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222\n", - " 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240\n", - " 241 242 243 244 245 246 247 248 249 250 251 252 253 254]\n" - ] - } - ], + "outputs": [], "source": [ - "min_value = image.min()\n", - "max_value = image.max()\n", + "min_value = \n", + "max_value = \n", "\n", "threshold_values = np.arange(min_value, max_value, 1)\n", "print(threshold_values)" @@ -140,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": null, "id": "d5cdbee0-a864-42f6-a11b-7801681bb87e", "metadata": {}, "outputs": [], @@ -209,39 +188,26 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "edbaf85b-5fce-4b4c-b6f3-ecaf26f54a32", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "C:\\Users\\johamuel\\Anaconda3\\envs\\bia-lecture\\lib\\site-packages\\numpy\\core\\fromnumeric.py:3757: RuntimeWarning: Degrees of freedom <= 0 for slice\n", - " return _methods._var(a, axis=axis, dtype=dtype, out=out, ddof=ddof,\n", - "C:\\Users\\johamuel\\Anaconda3\\envs\\bia-lecture\\lib\\site-packages\\numpy\\core\\_methods.py:222: RuntimeWarning: invalid value encountered in true_divide\n", - " arrmean = um.true_divide(arrmean, div, out=arrmean, casting='unsafe',\n", - "C:\\Users\\johamuel\\Anaconda3\\envs\\bia-lecture\\lib\\site-packages\\numpy\\core\\_methods.py:256: RuntimeWarning: invalid value encountered in double_scalars\n", - " ret = ret.dtype.type(ret / rcount)\n" - ] - } - ], + "outputs": [], "source": [ "variances_below = []\n", "variances_above = []\n", "for threshold in threshold_values:\n", " \n", - " binary_below = image < threshold\n", - " binary_above = image > threshold\n", + " binary_below = \n", + " binary_above = \n", " \n", - " values_below = image[binary_below]\n", - " values_above = image[binary_above]\n", + " values_below = \n", + " values_above = \n", " \n", - " weight_below = values_below.size/image.size\n", - " weight_above = values_above.size/image.size\n", + " weight_below = \n", + " weight_above = \n", " \n", - " _variance_above = np.var(values_above)# calculate the variance of pixels above the threshold\n", - " _variance_below = np.var(values_below) # calculate the variance of pixels below the threshold\n", + " _variance_above = # calculate the variance of pixels above the threshold\n", + " _variance_below = # calculate the variance of pixels below the threshold\n", " \n", " variances_above.append(_variance_above * weight_above)\n", " variances_below.append(_variance_below * weight_below)" @@ -263,7 +229,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "8bc40bc5-b859-476b-86a1-ed99e8069304", "metadata": {}, "outputs": [], @@ -274,23 +240,10 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "a80559ab-b6f9-4736-b590-4653b37c8795", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(threshold_values, variances_above_array, label='weigted variance above threshold')\n", @@ -313,34 +266,11 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "9025d192-767e-40a7-8c94-2e65c89e3ccf", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "\n", - "ax.plot(variances_above_array + variances_below_array, label = 'Summed weighted variances', zorder=2)\n", - "ax.legend(fontsize = 14)\n", - "ax.set_xlabel('Threshold value', fontsize=14)\n", - "ax.grid(alpha=0.6)\n", - "ax.set_ylabel('Summed weighted variance', fontsize=14)\n", - "\n", - "fig.savefig('../imgs/8_threshold_types_otsu.png')" - ] + "outputs": [], + "source": [] }, { "cell_type": "markdown", @@ -352,21 +282,10 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": null, "id": "60b6d583-8715-45c0-8210-187ecc49d0fc", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "30" - ] - }, - "execution_count": 77, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "min_index = np.argmin(variance_above + variance_below)\n", "min_index" @@ -374,21 +293,10 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": null, "id": "f8b5c208-ab4a-473d-8cb8-e898e3b28061", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "38" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Now, retrieve the correct threshold value\n", "threshold_value =" @@ -414,7 +322,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": null, "id": "1a773fb0-d9e7-4f31-9922-68ccbfd7d540", "metadata": {}, "outputs": [], From 8a3785f88971d4d29bd249a19a3db8fb8775dc73 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Johannes=20M=C3=BCller?= <38459088+jo-mueller@users.noreply.github.com> Date: Sun, 1 May 2022 18:44:51 +0200 Subject: [PATCH 08/19] Create Feature_extraction.pdf --- 05_feature_extraction/Feature_extraction.pdf | Bin 0 -> 2566616 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 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