ECGDigitization.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Digitization Final.ipynb",
      "provenance": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/codingsamurai-10/DataScience/blob/master/ECGDigitization.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1oTW6gm3Z5hp"
      },
      "source": [
        "###CLEANING"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "Zd2fVX23Z4zh",
        "outputId": "085b6cb3-45ab-441f-967d-37a1a95398f7"
      },
      "source": [
        "#  organizing imports \n",
        "import cv2          \n",
        "import numpy as np     \n",
        "import matplotlib.pyplot as plt\n",
        "# path to input image is specified and \n",
        "# image is loaded with imread command \n",
        "image1 = cv2.imread('test.jpg') \n",
        "  \n",
        "# cv2.cvtColor is applied over the \n",
        "# image input with applied parameters \n",
        "# to convert the image in grayscale \n",
        "img = cv2.cvtColor(image1, cv2.COLOR_BGR2GRAY) \n",
        "  \n",
        "# applying Otsu thresholding \n",
        "# as an extra flag in binary  \n",
        "# thresholding      \n",
        "ret, thresh1 = cv2.threshold(img, 120, 255, cv2.THRESH_BINARY + \n",
        "                                            cv2.THRESH_OTSU)      \n",
        "  \n",
        "# the window showing output image          \n",
        "# with the corresponding thresholding          \n",
        "# techniques applied to the input image     \n",
        "plt.imshow(thresh1,cmap=\"gray\")          \n",
        "       "
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f160de80490>"
            ]
          },
          "metadata": {},
          "execution_count": 1
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 534
        },
        "id": "KWm-ue7gagnp",
        "outputId": "e0313070-23e3-4ac7-e72e-968ba974c353"
      },
      "source": [
        "import math\n",
        "import numpy as np\n",
        "from matplotlib import pyplot as plt\n",
        "from PIL import Image\n",
        "\n",
        "\n",
        "threshold_values = {}\n",
        "h = [1]\n",
        "\n",
        "\n",
        "def Hist(img):\n",
        "   row, col = img.shape \n",
        "   y = np.zeros(256)\n",
        "   for i in range(0,row):\n",
        "      for j in range(0,col):\n",
        "         y[img[i,j]] += 1\n",
        "   x = np.arange(0,256)\n",
        "   plt.bar(x, y, color='b', width=5, align='center', alpha=0.25)\n",
        "   plt.show()\n",
        "   return y\n",
        "\n",
        "\n",
        "def regenerate_img(img, threshold):\n",
        "    row, col = img.shape \n",
        "    y = np.zeros((row, col))\n",
        "    for i in range(0,row):\n",
        "        for j in range(0,col):\n",
        "            if img[i,j] >= threshold:\n",
        "                y[i,j] = 255\n",
        "            else:\n",
        "                y[i,j] = 0\n",
        "    return y\n",
        "\n",
        "\n",
        "\n",
        "def countPixel(h):\n",
        "    cnt = 0\n",
        "    for i in range(0, len(h)):\n",
        "        if h[i]>0:\n",
        "           cnt += h[i]\n",
        "    return cnt\n",
        "\n",
        "\n",
        "def wieght(s, e):\n",
        "    w = 0\n",
        "    for i in range(s, e):\n",
        "        w += h[i]\n",
        "    return w\n",
        "\n",
        "\n",
        "def mean(s, e):\n",
        "    m = 0\n",
        "    w = wieght(s, e)\n",
        "    for i in range(s, e):\n",
        "        m += h[i] * i\n",
        "\n",
        "    return m/float(w)\n",
        "\n",
        "\n",
        "def variance(s, e):\n",
        "    v = 0\n",
        "    m = mean(s, e)\n",
        "    w = wieght(s, e)\n",
        "    for i in range(s, e):\n",
        "        v += ((i - m) **2) * h[i]\n",
        "    v /= w\n",
        "    return v\n",
        "\n",
        "\n",
        "def threshold(h):\n",
        "    cnt = countPixel(h)\n",
        "    for i in range(1, len(h)):\n",
        "        vb = variance(0, i)\n",
        "        wb = wieght(0, i) / float(cnt)\n",
        "        mb = mean(0, i)\n",
        "\n",
        "        vf = variance(i, len(h))\n",
        "        wf = wieght(i, len(h)) / float(cnt)\n",
        "        mf = mean(i, len(h))\n",
        "\n",
        "        V2w = wb * (vb)*(vb) + wf * (vf)*(vf)\n",
        "        V2b = wb * wf * (mb - mf)**2\n",
        "\n",
        "        fw = open(\"trace.txt\", \"a\")\n",
        "        fw.write('T='+ str(i) + \"\\n\")\n",
        "\n",
        "        fw.write('Wb='+ str(wb) + \"\\n\")\n",
        "        fw.write('Mb='+ str(mb) + \"\\n\")\n",
        "        fw.write('Vb='+ str(vb) + \"\\n\")\n",
        "\n",
        "        fw.write('Wf='+ str(wf) + \"\\n\")\n",
        "        fw.write('Mf='+ str(mf) + \"\\n\")\n",
        "        fw.write('Vf='+ str(vf) + \"\\n\")\n",
        "\n",
        "        fw.write('within class variance='+ str(V2w) + \"\\n\")\n",
        "        fw.write('between class variance=' + str(V2b) + \"\\n\")\n",
        "        fw.write(\"\\n\")\n",
        "\n",
        "        if not math.isnan(V2w):\n",
        "            threshold_values[i] = V2w\n",
        "\n",
        "\n",
        "def get_optimal_threshold():\n",
        "    min_V2w = min(threshold_values.values())\n",
        "    optimal_threshold = [k for k, v in threshold_values.items() if v == min_V2w]\n",
        "    print ('optimal threshold', optimal_threshold[0])\n",
        "    return optimal_threshold[0]\n",
        "\n",
        "\n",
        "image = Image.open('test.jpg').convert(\"L\")\n",
        "img = np.asarray(image)\n",
        "\n",
        "h = Hist(img)\n",
        "threshold(h)\n",
        "op_thres = get_optimal_threshold()\n",
        "\n",
        "res = regenerate_img(img, op_thres)\n",
        "plt.imshow(res,cmap=\"gray\")\n",
        "plt.savefig(\"otsu.jpg\") "
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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q6hsASe4FtgOGhHQKjn2ZC47/UIUf/Qop+AGr2Q+JjcCzQ/OHgKuWrpRkJ7Czzf5PkqdPQ9sXAf91GvZzNlgrY10r44S1M9a1Mk4482P9mVHFWQ+JFamqu4C7Tuc+k8xX1dzp3OesWitjXSvjhLUz1rUyTpjeWGf9B/4OA5cMzW9qNUnSBMx6SDwMbElyaZJzgZuAvVPukyStGTN9uamqXk3yQWAfg0dgd1fVExNq/rRevppxa2Wsa2WcsHbGulbGCVMaa6pqGu1Kks4Cs365SZI0RYaEJKnLkFgiybYkTydZSLJr2v053ZJ8K8ljSQ4mmW+1C5LsT/JMez9/2v08GUl2JzmS5PGh2sixZeCOdpwfTXLF9Hp+Yjrj/MMkh9txPZjkhqFlH23jfDrJddPp9YlLckmSryR5MskTST7U6qvxmPbGOv3jWlW+2ovBzfH/BH4WOBf4OnDZtPt1msf4LeCiJbU/AXa16V3AJ6bdz5Mc2zuAK4DHlxsbcAPwBSDAVuChaff/FMf5h8Dvjlj3svZ3/Hrg0vb3fc60x7DCcV4MXNGm3wj8RxvPajymvbFO/bh6JnG8H/4MSFV9Hzj2MyCr3XZgT5veA9w4xb6ctKr6F+DoknJvbNuBe2rgQeC8JBdPpqenpjPOnu3AvVX1SlV9E1hg8Hc+86rquar6tzb938BTDH6FYTUe095YeyZ2XA2J4436GZBxB+psVMCXkjzSfs4EYENVPdemvwNsmE7Xzoje2Fbjsf5gu8yye+iS4aoYZ5LNwC8CD7HKj+mSscKUj6shsfa8vaquAK4Hbk3yjuGFNTiXXZXPRa/msQF3Aj8HXA48B/zpdLtz+iT5SeCzwG9X1cvDy1bbMR0x1qkfV0PieKv+Z0Cq6nB7PwJ8jsEp6vPHTsvb+5Hp9fC0641tVR3rqnq+qn5QVf8H/BU/uvRwVo8zyesYfGj+TVX9YyuvymM6aqyzcFwNieOt6p8BSfITSd54bBq4FnicwRh3tNV2APdPp4dnRG9se4Gb2xMxW4GXhi5hnHWWXHv/DQbHFQbjvCnJ65NcCmwBvjrp/p2MJAHuBp6qqj8bWrTqjmlvrDNxXKd9V3/WXgyekPgPBk8L/MG0+3Oax/azDJ6I+DrwxLHxARcCDwDPAP8MXDDtvp7k+P6OwSn5/zK4RntLb2wMnoD5VDvOjwFz0+7/KY7zr9s4HmXwAXLx0Pp/0Mb5NHD9tPt/AuN8O4NLSY8CB9vrhlV6THtjnfpx9Wc5JEldXm6SJHUZEpKkLkNCktRlSEiSugwJSVKXISFJ6jIkJEld/w+kGQF68ZiM0QAAAABJRU5ErkJggg==\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "optimal threshold 138\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XRtolh42dUra"
      },
      "source": [
        "import numpy as np\n",
        "import cv2 as cv\n",
        "from matplotlib import pyplot as plt\n",
        "#img = cv.imread('e.png')\n",
        "img=res\n",
        "img = np.full((1130,1566), 6, np.uint8)\n",
        "converted_img = cv2.cvtColor(img, cv2.COLOR_GRAY2BGR)\n",
        "dst = cv.fastNlMeansDenoisingColored(converted_img,None,10,10,7,21)"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nNF88feRakyB"
      },
      "source": [
        "import numpy as np\n",
        "import cv2 as cv\n",
        "from matplotlib import pyplot as plt\n",
        "#cap = cv.VideoCapture('vtest.avi')\n",
        "# create a list of first 5 frames\n",
        "#img = [cap.read()[1] for i in xrange(5)]\n",
        "# convert all to grayscale\n",
        "i=res\n",
        "#gray = cv.cvtColor(i, cv.COLOR_BGR2GRAY)\n",
        "# convert all to float64\n",
        "gray = np.float64(i)\n",
        "# create a noise of variance 25\n",
        "noise = np.random.randn(*gray[1].shape)*10\n",
        "# Add this noise to images\n",
        "noisy = i+noise \n",
        "# Convert back to uint8\n",
        "noisy = np.uint8(np.clip(i,0,255))\n",
        "# Denoise 3rd frame considering all the 5 frames\n",
        "#dst = cv.fastNlMeansDenoisingMulti(noisy, 2, 5, 1, 4, 7, 5)\n",
        "dst=cv.fastNlMeansDenoising(noisy,dst,3,7,21)\n",
        "# plt.subplot(131),plt.imshow(gray,'gray')\n",
        "# plt.subplot(132),plt.imshow(noisy,'gray')\n",
        "# plt.subplot(133),plt.imshow(dst,'gray')\n",
        "# plt.show()"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "oeQuAkPNa8C4",
        "outputId": "d6c680ac-0343-4900-fe6f-c193b577ac1b"
      },
      "source": [
        "plt.imshow(gray,'gray')"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9bac410>"
            ]
          },
          "metadata": {},
          "execution_count": 5
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "Vu3cjFoUa9_K",
        "outputId": "4773f5f0-fb08-4d5a-b927-a8166bd0c604"
      },
      "source": [
        "plt.imshow(noisy,'gray')"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9b95c90>"
            ]
          },
          "metadata": {},
          "execution_count": 6
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "UWzlaZjebAIw",
        "outputId": "1f5ee861-38e5-408a-dbab-cbfe84ef5c7d"
      },
      "source": [
        "plt.imshow(dst,'gray')"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9b0f450>"
            ]
          },
          "metadata": {},
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "aoT1XD47bCOY",
        "outputId": "f67cf40e-4008-4b30-dfb2-6d68e603fc1f"
      },
      "source": [
        "import cv2\n",
        "#image = cv2.imread(\"test.jpg\")\n",
        "image=dst\n",
        "crop_img = image[15:50+1030, 50:50+1566]\n",
        "plt.imshow(crop_img,cmap=\"gray\")"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9a890d0>"
            ]
          },
          "metadata": {},
          "execution_count": 8
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "PMMZ5QFqbE3y",
        "outputId": "570d29fe-bf74-4d78-a291-df21bc0c538d"
      },
      "source": [
        "img=crop_img\n",
        "for i in range (0,crop_img.shape[0]-10):\n",
        "  for j in range (0,crop_img.shape[1]-10):\n",
        "    if img[i][j]==0:\n",
        "      #check\n",
        "      count=0\n",
        "      for k in range (i-5,i+5):\n",
        "        for l in range (j-5,j+5):\n",
        "          if img[k][l]==0:\n",
        "            count=count+1\n",
        "      if(count<5):\n",
        "        img[i][j]=255\n",
        "\n",
        "plt.imshow(img,cmap=\"gray\")"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9a05390>"
            ]
          },
          "metadata": {},
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Iy8JBxu3bHSx",
        "outputId": "9b13fca3-1d57-4cd0-d650-39664a13b2b2"
      },
      "source": [
        "\n",
        "cv2.imwrite('cleaned.jpg',img)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "True"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aTmbuekjZ-IY"
      },
      "source": [
        "###DIGITIZING"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Z8383GqQ1i3Q"
      },
      "source": [
        "import cv2"
      ],
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "flvXE55f1q5-"
      },
      "source": [
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ssqjA3wc1vXm"
      },
      "source": [
        "i = cv2.imread(\"cleaned.jpg\",0)"
      ],
      "execution_count": 13,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "sVKYZYkM10xS",
        "outputId": "87db596b-c09b-4dae-8d1f-085c140c00f8"
      },
      "source": [
        "plt.imshow(i,cmap=\"gray\")"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f996cc90>"
            ]
          },
          "metadata": {},
          "execution_count": 14
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qiSdSmJq13zU",
        "outputId": "a3522109-9262-41d2-e88a-b9f07af66c40"
      },
      "source": [
        "print(i)"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[255 255 255 ... 255 255 255]\n",
            " [255 255 255 ... 255 255 255]\n",
            " [255 255 255 ... 255 255 255]\n",
            " ...\n",
            " [255 255 255 ... 255 255 255]\n",
            " [255 255 255 ... 255 255 255]\n",
            " [255 255 255 ... 255 255 255]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7DPRalmb3xf_",
        "outputId": "517d96dc-4ba0-42f5-b6a3-c68686a1c3d7"
      },
      "source": [
        "i.shape"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1065, 1516)"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 124
        },
        "id": "bfetMl123561",
        "outputId": "34e0abb9-12d5-4a11-9c08-7a0f2db9973b"
      },
      "source": [
        "crop_img = i[5:125, 0:725]\n",
        "plt.imshow(crop_img,cmap=\"gray\")"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f98e9dd0>"
            ]
          },
          "metadata": {},
          "execution_count": 17
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6z9r8dAz8QMs",
        "outputId": "a2e5cb49-0f67-4776-e4cb-605dddcff662"
      },
      "source": [
        "cv2.imwrite('crop.jpg',crop_img)"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "True"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 284
        },
        "id": "_hWrmY_OFaRG",
        "outputId": "278acacc-2602-4bdb-d233-84d5dd505810"
      },
      "source": [
        "plt.figure(figsize=(120,725))\n",
        "plt.imshow(crop_img,cmap=\"gray\")"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f98caf90>"
            ]
          },
          "metadata": {},
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 8640x52200 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 130
        },
        "id": "pVERCN_rFk6Z",
        "outputId": "320c6380-adb7-4bc9-d27f-a21ea0df3e1e"
      },
      "source": [
        "img = crop_img[:,75:725]\n",
        "plt.imshow(img,cmap=\"gray\")"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9b40e50>"
            ]
          },
          "metadata": {},
          "execution_count": 20
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 315
        },
        "id": "LTI1YF48J6UV",
        "outputId": "66871a33-1845-45a7-a11d-f4b4eeac1f41"
      },
      "source": [
        "img = crop_img[:,80:725]\n",
        "plt.figure(figsize=(120,725))\n",
        "plt.imshow(img,cmap=\"gray\")"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f15f9bfc8d0>"
            ]
          },
          "metadata": {},
          "execution_count": 21
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 8640x52200 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OL1fYwvKRPAc",
        "outputId": "38d80973-ac5d-4483-9975-7e0b3e5c593f"
      },
      "source": [
        "img.shape"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(120, 645)"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cKJdwpA1SI91"
      },
      "source": [
        "pixel_from_top=[]\n",
        "for i in range (0,645):\n",
        "  id=0\n",
        "  \n",
        "  for j in range (0,120):\n",
        "      if img[j][i]==0:\n",
        "        pixel_from_top.append(j)\n",
        "        id=1\n",
        "        # print(\"f\\n\")\n",
        "        break\n",
        "        \n",
        "  \n",
        "  if id==0:\n",
        "    # print(\"nf\\n\")\n",
        "    pixel_from_top.append(pixel_from_top[i-1])"
      ],
      "execution_count": 23,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "GCXsEL1VTziJ",
        "outputId": "1396e44b-a9c0-4df5-b466-0f36510d296f"
      },
      "source": [
        "len(pixel_from_top)"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "645"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "k-IVMBP7T1Cr",
        "outputId": "fcd51440-3e57-4cae-cacd-dd8b46096495"
      },
      "source": [
        "\n",
        "plt.plot(pixel_from_top)"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f15f9cb1d90>]"
            ]
          },
          "metadata": {},
          "execution_count": 25
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6rN6D-dnUaqS"
      },
      "source": [
        "pixel_from_bottom=[]\n",
        "for i in range (0,645):\n",
        "  pixel_from_bottom.append(120-pixel_from_top[i])"
      ],
      "execution_count": 26,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "1nG1Ba--UuQk",
        "outputId": "24744b2d-d670-45b6-9abf-5f6c2140be3e"
      },
      "source": [
        "plt.xticks(range(0,700,50))\n",
        "for i in range (0,645,140):\n",
        "  plt.axvline(x=i)\n",
        "plt.plot(pixel_from_bottom)"
      ],
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f15f9c17e90>]"
            ]
          },
          "metadata": {},
          "execution_count": 27
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "U5paY2w2U_xT",
        "outputId": "400522a5-dfc4-4fd0-cd41-fe6f86296869"
      },
      "source": [
        "len(pixel_from_bottom)"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "645"
            ]
          },
          "metadata": {},
          "execution_count": 28
        }
      ]
    }
  ]
}