exercise_11.ipynb

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  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
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    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
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      "file_extension": ".py",
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      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.5"
    },
    "colab": {
      "name": "exercise_11.ipynb",
      "provenance": [],
      "collapsed_sections": []
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": 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              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": "OK"
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 41
        },
        "id": "inappropriate-canvas",
        "outputId": "d94cc88a-4f5d-4ebe-be12-8c3928f60325"
      },
      "source": [
        "import numpy as np\n",
        "from scipy.ndimage import rotate\n",
        "import os\n",
        "from PIL import Image\n",
        "import math\n",
        "import cv2 as cv\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "import numpy as np\n",
        "import cv2 as cv\n",
        "from matplotlib import pyplot as plt\n",
        "import cv2\n",
        "import numpy as np\n",
        "import skimage\n",
        "from skimage.feature import peak_local_max\n",
        "from scipy import ndimage as ndi\n",
        "import matplotlib.pyplot as plt\n",
        "from google.colab.patches import cv2_imshow\n",
        "\n",
        "%matplotlib inline\n",
        "from google.colab import files\n",
        "files.upload()\n",
        "from exGenerator import *\n",
        "matricola = '1962169'\n",
        "\n"
      ],
      "id": "inappropriate-canvas",
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-9bd034d8-5aa3-44ff-b022-71a5bd281788\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-9bd034d8-5aa3-44ff-b022-71a5bd281788\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m7i4Oj-TapKu"
      },
      "source": [
        "#Load"
      ],
      "id": "m7i4Oj-TapKu"
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZmM_yPdBWOd_"
      },
      "source": [
        "im1, im2, im3, im4 = ex11(matricola)"
      ],
      "id": "ZmM_yPdBWOd_",
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "Krj6VOcoc9Kj",
        "outputId": "a2a365d3-ec32-4a29-ba3a-9ded27f24565"
      },
      "source": [
        "plt.imshow(im1)"
      ],
      "id": "Krj6VOcoc9Kj",
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f71104758d0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fKtJzwKtaFF-"
      },
      "source": [
        "im1.save(\"output.png\", \"PNG\")\n",
        "im1.save(\"frame1.png\", \"PNG\")\n",
        "im2.save(\"frame2.png\", \"PNG\")"
      ],
      "id": "fKtJzwKtaFF-",
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 504
        },
        "id": "3SyngPUUXQme",
        "outputId": "f1b2536e-8974-41f8-c2bd-83f0c9d67fd7"
      },
      "source": [
        "frame1 = np.matrix(im1)\n",
        "frame2 = np.matrix(im2)\n",
        "frame3 = np.matrix(im3)\n",
        "\n",
        "fig, axes = plt.subplots(ncols=3, figsize=(im1.height, im1.width), sharex=True, sharey=True)\n",
        "ax = axes.ravel()\n",
        "\n",
        "ax[0].imshow(frame1)\n",
        "ax[0].set_title('frame1')\n",
        "ax[1].imshow(frame2)\n",
        "ax[1].set_title('frame2')\n",
        "ax[2].imshow(frame3)\n",
        "ax[2].set_title('frame3')\n"
      ],
      "id": "3SyngPUUXQme",
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'frame3')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        },
        {
          "output_type": "display_data",
          "data": {
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            "text/plain": [
              "<Figure size 18432x18432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WC_D2BiBamCn"
      },
      "source": [
        "#Segmentation"
      ],
      "id": "WC_D2BiBamCn"
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "funky-cathedral",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 230
        },
        "outputId": "201b903e-9fd9-42de-b922-09b27a0cfbb3"
      },
      "source": [
        "original = cv.imread(\"output.png\")\n",
        "\n",
        "img = original\n",
        "\n",
        "original = cv2.cvtColor(original,cv2.COLOR_BGR2RGB)\n",
        "gray = cv.cvtColor(img,cv.COLOR_BGR2GRAY)\n",
        "\n",
        "ret, thresh = cv.threshold(gray,120,255,cv.THRESH_BINARY_INV+cv.THRESH_OTSU)\n",
        "thresh = 255 - thresh\n",
        "\n",
        "# Remove noise\n",
        "kernel = np.ones((3,3),np.uint8)\n",
        "opening = cv.morphologyEx(thresh,cv.MORPH_OPEN,kernel, iterations = 2)\n",
        "\n",
        "# background area\n",
        "background = cv.dilate(opening,kernel,iterations=3)\n",
        "\n",
        "# Finding foreground area\n",
        "dist_transform = cv.distanceTransform(opening,cv.DIST_L2,5)\n",
        "ret, foreground = cv.threshold(dist_transform,0.7*dist_transform.max(),255,0)\n",
        "\n",
        "# Finding unknown region\n",
        "foreground = np.uint8(foreground)\n",
        "unknown = cv.subtract(background,foreground)\n",
        "\n",
        "# UNKNOW = 0\n",
        "# So, i change the value of background array to avoid the error of consider it as unknown. I marked it with different integer, instead i marked the unknown with 0\n",
        "ret, markers = cv.connectedComponents(foreground)\n",
        "markers = markers+1\n",
        "\n",
        "# Set the unknown with zero\n",
        "markers[unknown==255] = 0\n",
        "\n",
        "# Apply the watershed and all the boundary regions will be markes as -1\n",
        "markers = cv.watershed(img,markers)\n",
        "\n",
        "img[markers == -1] = [0,0,255] #RED\n",
        "\n",
        "fig, axes = plt.subplots(ncols=3, figsize=(9, 3), sharex=True, sharey=True)\n",
        "ax = axes.ravel()\n",
        "\n",
        "img = cv2.cvtColor(img,cv2.COLOR_BGR2RGB)\n",
        "\n",
        "ax[0].imshow(original, cmap=plt.cm.gray)\n",
        "ax[0].set_title('Original Image')\n",
        "ax[1].imshow(-dist_transform, cmap=plt.cm.gray)\n",
        "ax[1].set_title('Distances')\n",
        "ax[2].imshow(img, cmap=plt.cm.gray)\n",
        "ax[2].set_title('Separated objects (See Red)')\n"
      ],
      "id": "funky-cathedral",
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Separated objects (See Red)')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 648x216 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "K2u-FJ3taixk"
      },
      "source": [
        "#Optical Flow"
      ],
      "id": "K2u-FJ3taixk"
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "activated-trick"
      },
      "source": [
        "def plot_quiver(ax, flow, spacing, margin=0, **kwargs):\n",
        "    \"\"\"Plots less dense quiver field.\n",
        "\n",
        "    Args:\n",
        "        ax: Matplotlib axis\n",
        "        flow: motion vectors\n",
        "        spacing: space (px) between each arrow in grid\n",
        "        margin: width (px) of enclosing region without arrows\n",
        "        kwargs: quiver kwargs (default: angles=\"xy\", scale_units=\"xy\")\n",
        "    \"\"\"\n",
        "    h, w, *_ = flow.shape\n",
        "\n",
        "    nx = int((w - 2 * margin) / spacing)\n",
        "    ny = int((h - 2 * margin) / spacing)\n",
        "\n",
        "    x = np.linspace(margin, w - margin - 1, nx, dtype=np.int64)\n",
        "    y = np.linspace(margin, h - margin - 1, ny, dtype=np.int64)\n",
        "\n",
        "    flow = flow[np.ix_(y, x)]\n",
        "    u = flow[:, :, 0]\n",
        "    v = flow[:, :, 1]\n",
        "\n",
        "    kwargs = {**dict(angles=\"xy\", scale_units=\"xy\"), **kwargs}\n",
        "    ax.quiver(x, y, u, v, **kwargs)\n",
        "\n",
        "    ax.set_ylim(sorted(ax.get_ylim(), reverse=True))\n",
        "    ax.set_aspect(\"equal\")\n"
      ],
      "id": "activated-trick",
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "provincial-series",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "14f53f9b-999e-4424-87b9-89327fdac33d"
      },
      "source": [
        "in_frame1 = cv.imread(\"frame1.png\")\n",
        "in_frame2 = cv.imread(\"frame2.png\")\n",
        "gray_1 = cv.cvtColor(in_frame1,cv.COLOR_BGR2GRAY)\n",
        "gray_2 = cv.cvtColor(in_frame2,cv.COLOR_BGR2GRAY)\n",
        "\n",
        "flow = cv.calcOpticalFlowFarneback(frame1,frame2,None, 0.5, 3, 50, 5, 5, 1.2, 0)\n",
        "\n",
        "fig, ax = plt.subplots()\n",
        "plot_quiver(ax, flow, spacing=10, scale=1, color=\"#0069F5\")\n"
      ],
      "id": "provincial-series",
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}