Cropping.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig_size = plt.rcParams[\"figure.figsize\"]\n",
    "fig_size[0] = fig_size[0] * 2\n",
    "fig_size[1] = fig_size[1] * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f10bb9b2940>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f10bda7c358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread('test_cropping.png', 0)\n",
    "_, thresh = cv2.threshold(img, 127, 255, 0)\n",
    "plt.imshow(thresh, cmap = 'gray', interpolation = 'bicubic')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f10bb48d0b8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f10bb8d5cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread('test_cropping.png', 0)\n",
    "_, thresh = cv2.threshold(img, 127, 255, 0)\n",
    "img2, contours, hierarchy = cv2.findContours(thresh, 1, 2)\n",
    "cnt_areas = len(contours) * [0]\n",
    "\n",
    "for i in range(len(contours)):\n",
    "    cnt_areas[i] = cv2.contourArea(contours[i])\n",
    "\n",
    "cnt_idx = np.flipud(np.argsort(np.array(cnt_areas)))\n",
    "\n",
    "for i in range(20):\n",
    "    x,y,w,h = cv2.boundingRect(contours[cnt_idx[i]])\n",
    "    cv2.rectangle(thresh, (x, y),(x + w, y + h), (127, 127, 127), 2)\n",
    "plt.imshow(thresh, cmap = 'gray', interpolation = 'bicubic')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "from os import listdir\n",
    "\n",
    "def extract_digits(filename):\n",
    "    img = cv2.imread('id_number_combined/' + filename, 0)\n",
    "    _, thresh = cv2.threshold(img, 127, 255, 0)\n",
    "    img2, contours, hierarchy = cv2.findContours(thresh, 1, 2)\n",
    "    print(len(contours))\n",
    "    if (len(contours) > 0):\n",
    "        cnt_areas = len(contours) * [0]\n",
    "\n",
    "        for i in range(len(contours)):\n",
    "            cnt_areas[i] = cv2.contourArea(contours[i])\n",
    "\n",
    "        cnt_idx = np.flipud(np.argsort(np.array(cnt_areas)))\n",
    "\n",
    "        if (len(contours) >= 20):\n",
    "            length = 20\n",
    "        else:\n",
    "            length = len(contours)\n",
    "        for i in range(length):\n",
    "            x,y,w,h = cv2.boundingRect(contours[cnt_idx[i]])\n",
    "            cv2.imwrite(\"digits/\"+filename+\"_\"+str(i)+\".png\", img[y:y+h+1,x:x+w+1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "91\n",
      "75\n",
      "228\n",
      "34\n",
      "39\n",
      "0\n",
      "47\n",
      "91\n",
      "32\n",
      "141\n",
      "40\n",
      "60\n",
      "130\n",
      "268\n",
      "42\n",
      "90\n",
      "31\n",
      "182\n",
      "61\n",
      "38\n",
      "146\n",
      "30\n",
      "351\n",
      "268\n",
      "42\n",
      "42\n",
      "135\n",
      "153\n",
      "28\n",
      "19\n",
      "45\n",
      "30\n",
      "103\n",
      "110\n",
      "57\n",
      "107\n",
      "101\n",
      "43\n",
      "165\n",
      "197\n",
      "25\n",
      "0\n",
      "90\n",
      "43\n",
      "5\n",
      "26\n",
      "62\n",
      "39\n",
      "26\n",
      "46\n",
      "18\n",
      "41\n",
      "32\n",
      "70\n",
      "483\n",
      "44\n",
      "65\n",
      "46\n",
      "70\n",
      "42\n",
      "49\n",
      "44\n",
      "32\n",
      "27\n",
      "84\n",
      "24\n",
      "52\n",
      "27\n",
      "86\n",
      "59\n",
      "108\n",
      "30\n",
      "24\n",
      "72\n",
      "117\n",
      "34\n",
      "85\n",
      "22\n",
      "26\n",
      "112\n",
      "45\n",
      "11\n",
      "149\n",
      "174\n",
      "89\n",
      "0\n",
      "67\n",
      "8\n",
      "38\n",
      "55\n",
      "81\n",
      "40\n",
      "42\n",
      "75\n",
      "130\n",
      "79\n",
      "54\n",
      "48\n",
      "45\n",
      "71\n",
      "19\n",
      "15\n",
      "81\n",
      "98\n",
      "32\n",
      "31\n",
      "166\n",
      "35\n",
      "383\n",
      "399\n",
      "125\n",
      "48\n",
      "182\n",
      "43\n",
      "48\n",
      "43\n",
      "10\n",
      "164\n",
      "225\n",
      "46\n",
      "60\n",
      "95\n",
      "0\n",
      "157\n",
      "22\n",
      "19\n",
      "34\n",
      "50\n",
      "27\n",
      "25\n",
      "24\n",
      "0\n",
      "24\n",
      "42\n",
      "39\n",
      "41\n",
      "73\n",
      "72\n",
      "73\n",
      "52\n",
      "41\n",
      "47\n",
      "39\n",
      "129\n",
      "48\n",
      "28\n",
      "205\n",
      "21\n",
      "169\n",
      "16\n",
      "74\n",
      "43\n",
      "99\n",
      "31\n",
      "67\n",
      "67\n",
      "26\n",
      "67\n",
      "22\n",
      "79\n",
      "34\n",
      "34\n",
      "100\n",
      "220\n",
      "40\n",
      "20\n",
      "34\n",
      "74\n",
      "20\n",
      "49\n",
      "383\n",
      "6\n",
      "147\n",
      "58\n",
      "35\n",
      "77\n",
      "69\n",
      "158\n",
      "56\n",
      "44\n",
      "47\n",
      "67\n",
      "180\n",
      "40\n",
      "39\n",
      "20\n",
      "45\n",
      "34\n",
      "107\n",
      "26\n",
      "42\n",
      "65\n",
      "30\n",
      "41\n",
      "50\n",
      "80\n",
      "35\n",
      "27\n",
      "41\n",
      "154\n",
      "24\n",
      "111\n",
      "96\n",
      "21\n",
      "42\n",
      "127\n",
      "24\n",
      "23\n",
      "47\n",
      "52\n",
      "19\n",
      "52\n",
      "27\n",
      "168\n",
      "19\n",
      "101\n",
      "73\n",
      "30\n",
      "39\n",
      "33\n",
      "25\n",
      "158\n",
      "0\n",
      "112\n",
      "21\n",
      "71\n",
      "192\n",
      "25\n",
      "130\n",
      "21\n",
      "39\n",
      "60\n",
      "65\n",
      "39\n",
      "25\n",
      "44\n",
      "45\n",
      "130\n",
      "132\n",
      "104\n",
      "105\n",
      "26\n",
      "47\n",
      "63\n",
      "59\n",
      "83\n",
      "67\n",
      "26\n",
      "44\n",
      "27\n",
      "49\n",
      "26\n",
      "42\n",
      "38\n",
      "81\n",
      "21\n",
      "45\n",
      "46\n",
      "85\n",
      "78\n",
      "30\n",
      "89\n",
      "8\n",
      "72\n",
      "25\n",
      "40\n",
      "49\n",
      "5\n",
      "27\n",
      "50\n",
      "52\n",
      "122\n",
      "81\n",
      "18\n",
      "0\n",
      "107\n",
      "31\n",
      "119\n",
      "26\n",
      "26\n",
      "19\n",
      "175\n",
      "38\n",
      "27\n",
      "192\n",
      "19\n",
      "22\n",
      "29\n",
      "17\n",
      "89\n",
      "15\n",
      "63\n",
      "130\n",
      "0\n",
      "35\n",
      "106\n",
      "33\n",
      "122\n",
      "84\n",
      "163\n",
      "96\n",
      "27\n",
      "27\n",
      "23\n",
      "97\n",
      "26\n",
      "92\n",
      "55\n",
      "60\n",
      "26\n",
      "81\n",
      "72\n",
      "33\n",
      "27\n",
      "36\n",
      "24\n",
      "95\n",
      "15\n",
      "118\n",
      "76\n",
      "43\n",
      "36\n",
      "145\n",
      "34\n",
      "32\n",
      "35\n",
      "37\n",
      "183\n",
      "13\n",
      "67\n",
      "43\n",
      "25\n",
      "29\n",
      "5\n",
      "188\n",
      "63\n",
      "74\n",
      "82\n",
      "30\n",
      "16\n",
      "30\n",
      "51\n",
      "23\n",
      "26\n",
      "193\n",
      "49\n",
      "26\n",
      "77\n",
      "40\n",
      "149\n",
      "51\n",
      "22\n",
      "60\n",
      "55\n",
      "73\n",
      "37\n",
      "213\n",
      "100\n",
      "67\n",
      "76\n",
      "281\n",
      "49\n",
      "140\n",
      "73\n",
      "19\n",
      "6\n",
      "53\n",
      "89\n",
      "52\n",
      "84\n",
      "24\n",
      "52\n",
      "121\n",
      "20\n",
      "23\n",
      "45\n",
      "41\n",
      "27\n",
      "17\n",
      "17\n",
      "72\n",
      "31\n",
      "40\n",
      "96\n",
      "118\n",
      "103\n",
      "124\n",
      "28\n",
      "58\n",
      "25\n",
      "26\n",
      "179\n",
      "21\n",
      "43\n",
      "28\n",
      "106\n",
      "215\n",
      "40\n",
      "55\n",
      "76\n",
      "36\n",
      "26\n",
      "118\n",
      "46\n",
      "140\n",
      "75\n",
      "21\n",
      "50\n",
      "95\n",
      "186\n",
      "23\n",
      "41\n",
      "43\n",
      "0\n",
      "88\n",
      "37\n",
      "51\n",
      "48\n",
      "45\n",
      "37\n",
      "22\n",
      "109\n",
      "93\n",
      "42\n",
      "66\n",
      "260\n",
      "165\n",
      "30\n",
      "82\n",
      "23\n",
      "66\n",
      "29\n",
      "42\n",
      "48\n",
      "32\n",
      "49\n",
      "35\n",
      "75\n",
      "107\n",
      "40\n",
      "52\n",
      "20\n",
      "92\n",
      "34\n",
      "175\n",
      "0\n",
      "42\n",
      "28\n",
      "177\n",
      "110\n",
      "109\n",
      "95\n",
      "74\n",
      "317\n",
      "28\n",
      "103\n",
      "174\n",
      "102\n",
      "31\n",
      "40\n",
      "56\n",
      "76\n",
      "36\n",
      "25\n",
      "31\n",
      "83\n",
      "29\n",
      "67\n",
      "0\n",
      "35\n",
      "43\n",
      "79\n",
      "67\n",
      "30\n",
      "70\n",
      "0\n",
      "105\n",
      "36\n",
      "66\n",
      "38\n",
      "57\n",
      "130\n",
      "45\n",
      "73\n",
      "43\n",
      "30\n",
      "53\n",
      "49\n",
      "63\n",
      "45\n",
      "30\n",
      "21\n",
      "72\n",
      "203\n",
      "81\n",
      "36\n",
      "121\n",
      "63\n",
      "65\n",
      "469\n",
      "61\n",
      "138\n",
      "114\n",
      "62\n",
      "147\n",
      "39\n",
      "11\n",
      "18\n",
      "49\n",
      "40\n",
      "65\n",
      "170\n",
      "96\n",
      "34\n",
      "57\n",
      "29\n",
      "49\n",
      "28\n",
      "33\n",
      "296\n",
      "62\n",
      "82\n",
      "77\n",
      "148\n",
      "59\n",
      "24\n",
      "126\n",
      "130\n",
      "20\n",
      "46\n",
      "112\n",
      "221\n",
      "47\n",
      "24\n",
      "72\n",
      "35\n",
      "119\n",
      "60\n",
      "45\n",
      "17\n",
      "51\n",
      "137\n",
      "31\n",
      "33\n",
      "38\n",
      "39\n",
      "35\n",
      "45\n",
      "36\n",
      "28\n",
      "120\n",
      "178\n",
      "49\n",
      "30\n",
      "129\n",
      "62\n",
      "65\n",
      "22\n",
      "41\n",
      "31\n",
      "43\n",
      "64\n",
      "0\n",
      "188\n",
      "154\n",
      "128\n",
      "31\n",
      "6\n",
      "64\n",
      "17\n",
      "39\n"
     ]
    }
   ],
   "source": [
    "files = listdir('id_number_combined')\n",
    "for file in files:\n",
    "    # print(file)\n",
    "    extract_digits(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "165\n"
     ]
    }
   ],
   "source": [
    "extract_digits(\"test_cropping.png\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}