From e0a4c9a4ee12a62ef91c8ca9394755c9e96b57d6 Mon Sep 17 00:00:00 2001 From: Yannick Habecker Date: Sat, 5 Jan 2019 16:51:36 +0100 Subject: [PATCH] =?UTF-8?q?f=C3=BCge=20L=C3=B6sung=20von=20y=20hinzu?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Sobel-Operator.ipynb | 312 +++++++++++++++++++++++-------------------- input.ppm | Bin 0 -> 1629519 bytes 2 files changed, 169 insertions(+), 143 deletions(-) create mode 100644 input.ppm diff --git a/Sobel-Operator.ipynb b/Sobel-Operator.ipynb index 67b52bd..3516ed7 100644 --- a/Sobel-Operator.ipynb +++ b/Sobel-Operator.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -13,75 +13,11 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 318, "metadata": {}, "outputs": [], "source": [ - "# Quelle: https://en.wikipedia.org/wiki/Kernel_(image_processing)#Convolution\n", - "def convolution(image, kernel):\n", - " output = np.copy(image)\n", - " # Zero padding\n", - " output = np.pad(output, ((1,1), (1,1)), mode='constant')\n", - " for i, image_row in enumerate(output):\n", - " for k, image_pixel in enumerate(image_row):\n", - " acc = 0.0\n", - " for n, kernel_row in enumerate(kernel):\n", - " for m, kernel_pixel in enumerate(kernel_row):\n", - " if n == 0 and m == 0:\n", - " i_saved = i\n", - " k_saved = k\n", - " \n", - " \n", - " if n == (i - i_saved) and m == (k - k_saved):\n", - " acc += float(kernel_pixel) * float(image_pixel)\n", - "\n", - " output[i][k] = acc\n", - "\n", - " # Shave off the padding\n", - " return output[1:-1,1:-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "def convert_string_matrix_to_array(base, type_=float):\n", - " return np.array([[type_(number) for number in line.split(\" \")] for line in base.split(\"\\n\") if line != \"\"])" - ] - }, - { - "cell_type": "code", - "execution_count": 130, - "metadata": {}, - "outputs": [], - "source": [ - "def sobel_max(*images):\n", - " height = len(images[0])\n", - " width = len(images[0][0])\n", - " output = np.zeros((height, width), dtype=int)\n", - " for i in range(height):\n", - " for j in range(width):\n", - " output[i][j] = max([image[i][j] for image in images])\n", - "\n", - " return output" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Eingabe aus Aufgabe" - ] - }, - { - "cell_type": "code", - "execution_count": 133, - "metadata": {}, - "outputs": [], - "source": [ - "base = convert_string_matrix_to_array(\"\"\"\n", + "base = \"\"\"\n", "5 2 6 2 3 2 1 2 3 1\n", "1 3 6 7 9 2 4 4 7 1\n", "1 5 8 8 10 17 21 19 9 4\n", @@ -92,60 +28,51 @@ "3 5 6 40 34 42 6 4 2 5\n", "4 9 16 14 32 51 13 6 6 2\n", "4 2 5 3 3 3 5 3 3 3\n", - "\"\"\", type_=int)\n", - "\n", - "mean_value = np.ones((3,3)) * 1/9\n", - "\n", - "sobel_operator_x = convert_string_matrix_to_array(\"\"\"\n", - "1 0 -1\n", - "2 0 -2\n", - "1 0 -1\n", - "\"\"\") * 1/4\n", - "\n", - "sobel_operator_y = convert_string_matrix_to_array(\"\"\"\n", - "1 2 1\n", - "0 0 0\n", - "-1 -2 -1\n", - "\"\"\") * 1/4\n", - "\n", - "sobel_operator_forward_slash = convert_string_matrix_to_array(\"\"\"\n", - "0 -1 -2\n", - "1 0 -1\n", - "2 1 0\n", - "\"\"\") * 1/4\n", + "\"\"\"\n", "\n", - "sobel_operator_backward_slash = \"\"\"\n", - "???\n", - "\"\"\"\n" + "S_x = np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]])\n", + "S_y = S_x.T\n", + "S_fs = np.array([[0, -1, 2], [-1, 0, 1], [2, 1, 0]])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 319, + "metadata": {}, + "outputs": [], + "source": [ + "base = np.array([[int(number) for number in line.split(\" \")] for line in base.split(\"\\n\") if line != \"\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Eingabe als Bild" + "# Eingelesenes Bild" ] }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, + "execution_count": 320, + "metadata": { + "scrolled": false + }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 7, + "execution_count": 320, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "
" + "" ] }, "metadata": {}, @@ -160,45 +87,52 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# TODO Grauwertspeizung" + "# Faltungsoperator" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 321, "metadata": {}, "outputs": [], "source": [ - "# TODO Grauwertspreizung" + "def convolve(image, kernel):\n", + " kernel_size = kernel.shape[0]\n", + " _image = np.pad(image, ((kernel_size//2, kernel_size//2), (kernel_size//2, kernel_size//2)), 'constant') # padd with zeros\n", + " output_image = np.copy(image)\n", + " for (x, y), value in np.ndenumerate(image):\n", + " window = _image[x:x+kernel_size, y:y+kernel_size] # image[x-1:x+2, y-1:y+2] but x=x+1, y=y+1 because of pad\n", + " output_image[x, y] = np.sum(np.multiply(window, kernel))\n", + " return output_image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Sobel Operator along x-axis" + "# Mittelwertfilter" ] }, { "cell_type": "code", - "execution_count": 140, + "execution_count": 322, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 140, + "execution_count": 322, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "
" + "" ] }, "metadata": {}, @@ -206,37 +140,58 @@ } ], "source": [ - "x = convolution(base, sobel_operator_x)\n", - "plt.imshow(x, cmap=\"gray\", norm=NoNorm())" + "average_kernel = np.zeros((3,3)) + 1/9\n", + "avg = convolve(base, average_kernel)//1\n", + "plt.imshow(avg, cmap=\"gray\", norm=NoNorm())\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Sobel Operator along y-axis" + "# Grauwertspeizung (Quelle: http://home.in.tum.de/~perzylo/Proseminar/Punktoperatoren.pdf)" + ] + }, + { + "cell_type": "code", + "execution_count": 323, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "def scale(image, g_1, g_2, G=255):\n", + " output = np.copy(image)\n", + " for (x, y), value in np.ndenumerate(image):\n", + " if value < g_1:\n", + " output[x, y] = 0\n", + " elif value > g_2:\n", + " output[x, y] = G - 1\n", + " else:\n", + " output[x, y] = (G - 1)*(value - g_1)/(g_2 - g_1)\n", + " return output\n" ] }, { "cell_type": "code", - "execution_count": 137, + "execution_count": 324, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 137, + "execution_count": 324, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "
" + "" ] }, "metadata": {}, @@ -244,30 +199,30 @@ } ], "source": [ - "y = convolution(base, sobel_operator_y)\n", - "plt.imshow(y, cmap=\"gray\", norm=NoNorm())" + "scaled = scale(base, np.min(base), np.max(base))\n", + "plt.imshow(scaled, cmap=\"gray\", norm=NoNorm())" ] }, { "cell_type": "code", - "execution_count": 135, + "execution_count": 325, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 135, + "execution_count": 325, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "
" + "" ] }, "metadata": {}, @@ -275,47 +230,92 @@ } ], "source": [ - "forward_slash = convolution(base, sobel_operator_forward_slash)\n", - "plt.imshow(forward_slash, cmap=\"gray\", norm=NoNorm())" + "x = convolve(base, S_x)\n", + "plt.imshow(scale(x, np.min(x), np.max(x)), cmap=\"gray\", norm=NoNorm())" ] }, { "cell_type": "code", - "execution_count": 136, + "execution_count": 326, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 326, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "#backward_slash = convolution(base, sobel_operator_backward_slash)\n", - "#plt.imshow(forward_slash, cmap=\"gray\", norm=NoNorm())" + "y = convolve(base, S_y)\n", + "plt.imshow(scale(y, np.min(y), np.max(y)), cmap=\"gray\", norm=NoNorm())" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 327, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 327, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "## Max of all " + "fs = convolve(base, S_fs)\n", + "plt.imshow(scale(fs, np.min(fs), np.max(fs)), cmap=\"gray\", norm=NoNorm())" ] }, { "cell_type": "code", - "execution_count": 139, + "execution_count": 328, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 139, + "execution_count": 328, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "
" + "" ] }, "metadata": {}, @@ -323,16 +323,42 @@ } ], "source": [ - "output = sobel_max(x, y, forward_slash)\n", - "plt.imshow(output, cmap=\"gray\", norm=NoNorm())" + "g = np.minimum(x, y, fs)\n", + "plt.imshow(scale(g, np.min(g), np.max(g)), cmap=\"gray\", norm=NoNorm())" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 278, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 278, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import cv2\n", + "base = cv2.imread(\"input.ppm\", 0)\n", + "plt.imshow(base, cmap=\"gray\", norm=NoNorm())\n", + "#plt.imshow(sobel(im), cmap=\"gray\")" + ] } ], "metadata": { @@ -344,14 +370,14 @@ "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.15" + "pygments_lexer": "ipython3", + "version": "3.6.5" } }, "nbformat": 4, diff --git a/input.ppm b/input.ppm new file mode 100644 index 0000000000000000000000000000000000000000..d989d0b0558d13999996460539923d6009fc1682 GIT binary patch literal 1629519 zcmeF)*N<)4S^oPYA=JWh3)vRd4`h%*1liES?v`zW00Ty3115-!vB~*>4F_Wr4;hnl z@XsXwNCplWk&{5;jz0iyxPuEMFe0ei=Tqz1`}Jh5wW_Oj?W(n^>KPYfk2&Uu&kXOk z-ZAFdAN|}XJnxbBc>41mdF~S)e$I2A@DKm+4^MpJ6aTM& 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