process-and-cut-the-captcha.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# https://medium.com/@ageitgey/how-to-break-a-captcha-system-in-15-minutes-with-machine-learning-dbebb035a710\n",
    "import cv2\n",
    "import imutils\n",
    "from imutils import paths\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import os\n",
    "import os.path\n",
    "import glob\n",
    "from sklearn.preprocessing import LabelBinarizer\n",
    "from sklearn.model_selection import train_test_split\n",
    "import pickle\n",
    "import tensorflow\n",
    "from keras.models import Sequential\n",
    "from keras.layers.convolutional import Conv2D, MaxPooling2D\n",
    "from keras.layers.core import Flatten, Dense"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_image(img):\n",
    "    plt.imshow(img)\n",
    "    plt.axis('off')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Croping the image\n",
    "\n",
    "The goal of this algorithm is to crop the images of the captcha in such a way we can mark it in an easier way when using the captcha of the globo.com"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = cv2.imread(\"captchas20/cadeira.png\", 0)\n",
    "imageColor = cv2.imread(\"captchas20/cadeira.png\")\n",
    "plt.imshow(imageColor)\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## remove the horizontal lines\n",
    "gray = cv2.bitwise_not(image)\n",
    "bw = cv2.adaptiveThreshold(gray, 255, cv2.ADAPTIVE_THRESH_MEAN_C, \\\n",
    "                                cv2.THRESH_BINARY, 15, -2)\n",
    "thresh = cv2.threshold(gray, 0, 255, cv2.THRESH_BINARY_INV + cv2.THRESH_OTSU)[1]\n",
    "\n",
    "# Remove horizontal\n",
    "horizontal_kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (40,1))\n",
    "# detected_lines = cv2.morphologyEx(thresh, cv2.MORPH_OPEN, horizontal_kernel, iterations=2)\n",
    "# cnts = cv2.findContours(detected_lines, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)\n",
    "# print(cnts)\n",
    "# cnts = cnts[0] if len(cnts) == 2 else cnts[1]\n",
    "# for c in cnts:\n",
    "#     cv2.drawContours(imageColor, [c], -1, (255,0,0), 2)\n",
    "\n",
    "# extract the image containing every single horizontal line\n",
    "h_image = gray.copy()\n",
    "h_image_eroded = cv2.erode(h_image, horizontal_kernel)\n",
    "h_image_dilated = cv2.dilate(h_image_eroded, horizontal_kernel)\n",
    "\n",
    "show_image(h_image_dilated)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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X5nd0dJrwqxME+9qgwzmOy14OtL2bsJBjqfHuO/criX6ZrsRLkdpYQ8NHR0h4V78nzntLoIMsPioUMC/lyxMCO18g8KLMZuhJtjJ5UyvsXSmSKd27wMl9IRqf6iU8IPOOx28JktuewzXQQvN+GQgMHJvEmklim5aMhgOk01fn2t4qQgO3m1xCSr2ovsTJvAzuXdM8CsDOmlH+fNdtaIaUWL6FNvyTBVzpAmZAanX5hJdMo04+JijUO4KhIU97wyh3RI+jC/nZf97VRfi1GGSW3rn2Wl51StPQnbTvRTOI6Ujw3pD0+Q8nuqltb0aMr8Q53K8N0jZWixV2shLq/eTiLoohwbGubgD+aEcNgY0Pc6NvBq/jmWx15dhbP8yTrVL7j3nc2IspwsMWY4uRc09P17GNy/exviPe4MUGUH/nGJ9ukFq0LmzSloGprYx5o54lqq14XnN2kTMlwZNL29ntH1z+XEPDLVa2++Km/fzRB+6mZ1oGjF2HClJ5YaUxWqojgKs5i/elENqSvEmGtbZB0XJw1jo7TNtD8ETpegCOfqSJ/979T0T1lZfbnFngS4OfZOKvutnwuMz6MucXwDTPXfkJpMLmXDe925c/1p6X88J16gRmsahK/1eVShM2FIQGJ7MlU6Dl0Tz512uYuMkZska4tm+AnxQ2UHKyHnLbcnxl73dZutbLQ7fsBODYC920P9aA98w0Vp1sJYATYFxTytF+vxfLszLJDi+2IHSbWs9KB0E9XCJ1p3xY25snGE3XMjsfIhSSn22uH2FbeJzJQoRDs7LIJ5VbMU3LNOybZOnlevwj41c9QPQfEj8G4Ff/9bM89MVtfHNIBkmnRutAgB4s0dMoK0Xvb3yaTk+SaSPMKeeFVrL15RdRmYTu5/cSTxP7rFwI5evBW+n6znlamIDpG6IkZhdkCwi4ekHwikCkPb9IYn8jf73lfQB8vvEAc/kgQtjE3SsKxJ/M3sgGn5x/GzzTtLnk+ZvOb+VtkwdS1/HVl25k0waZ9fVXPd9a3r9kr4iMe3a/xg/ndwPQO9+KODOIEAIc67fkrwjRGevAzehYpeAsdjOZpOEV+Uyebmvjn2LX0uObQne26fNM4tENhGUvu0vsi1jzCIHQBFqNtE5ntwl+tvkg35/eQfS4dOPaS6uzpoIKiioUCkWVUP0auqYvByP1RD1WbRhtMYPl9Fqp7GW9vF08xtS93TR8Xvp+f6b5RfanNvLwoR34xi48xNz7pPvmg33HL/guunOGez/6CotGgIwpNZfXdl+5y3vbOMErq8aPFZLaR952U7RcXMyLGItIrfT+xCv8OLiBJwqb3vQQZ4cb+MqJ+2jtlRrh3vgQ37+ukZ5DcQwnje2daK+2aWKOTtD2sHRl/Unkw0x8KMJvxF982795PlnbJvAmbtXogUlKIanZ5/rWwKVg21iZJepeX+TIftnP/bc7WwjtD5DusqHlJwDMGGGOpZp4YUa6lSbma6gJ5rml6QwfqZUBUBM/3z61m9gBF4ut51pZacvkhSUZHPzxfBfbasZp2T0BwMKrjdR4XBg1HvIx6Yqb2wpWUadu0sLOyPmz5k3rlrVkCyubXYl/eW2+dnwP2qkgThiJ9htGqfNmmd5nU3tCtvwQ6Qx28cIGXcLlotQlXXHWRnmts7kA3uIqud0cql+gX2EiZ+QNqvt/NlkrSmKXYOqDK99/+eHP0PlwieR2Kbz9d6+Be+Uy/dPC5aIQ9eEJO/nYwiRnuBHCJuFZcSV4fUVCngtdJOkxGTQ+/Godx+f7CMxYBKakiRlOFdFSC9heF4Mfcyoq7xvC7slS6qhHm5Lujred8VPu2WOU0CbkGDfvD/PN1j1cd8NZbnXcCmFN8IWao9y+xck33ixf2kFhnLPIxQ+WuvivR+/CPCJ9npbH5tHNm/nZngN8wCk0aXXJc/1A+HUAHt/bx1x/gvgLeaJHZXzFdAfRC7bMeHIqCi/h4r5i2EYJcXKAnr+XRW6ZzVE8C3ncWS8Hbu4C4HebH2GXb5iHFmRf6e8MXkv21RCPijgPNMm2wfHuOYojQQI61HikouIkcxDVPNxXIwX/7sAgjXqKe5xMmK988V6On2kBU+BaWDH8raKOb85cnUF4CwhdR29uZGJvuT7BJPr9ALH9Y1gh6UIdT7YxeesCRErkmuR2wdNezJIBVAh1J8to8E65za/veIis5WHh2UY6j8gKU6P4Rl2FrizVLdDLvq2orNZK3t7O9M0GvtEoTS84aW0nJrHm5rGLRZmtARQ2tzC71+CDdSMAPD6/Fb8ub0jzF+UNOvF4L5F+i5nd8LkdLwPw1GQvjS/aeF8+TcthmfqUP9LJ//r4B9iz8wwdgTevUHy71+lqbiK/SQpOI6Djyproeae/e6aAtriEPb+IWdaUAC1Rz+jtbv79rgcAWLLkS2hbyzj7gvI6D+faiYWy/ELrO2+VAKDpFpbbfUV9fVbKyWA5PEa8voM/qL2HL/c9AsD7/FKDbNalMA44gT1drEz9tCVfVoahEzsmBU/kxCKpTRH+9Oa7OHm9nCsfjR6i27VyD2u8eY7vM/Fk4oRPyxdg/DWBuERDr6uG0EDTEIvSXx4+kMG2LKzeDdR75PgkdI1WPU93/bMAhPYV+H7TVhb6owTG5Iuu0F9Pw5RFchd8sl4GU2s1DQ2BV7jY6JbbdbnSgCBjSwv35lg/J8cSWJmVlD/fnKDmoE7wyNg5825NKacQe73ku+Kkex2FwhBEX5rBHJtcLu1vyReYMJpgb56Ru+S86cz34j1wCmspS9kfL9wuSokIhR4ZU7re38+DqWvwztnL2VWr9UKrboEOcqLHZcl/qktw964j6NfYDN8uPzv9XCctzzTiPzq2/MZdavLQ3LGiWT/z3Hbir9p4tgiQTRrJJ0xuuOcomlh5eKfmauiYNbAKBWwnk8XzXIbNx2PM97Rz9Ebppmjlhat+2W+HI0stnB1u4JqeoeXPnprZeM42357aw/j/2UDbg0exK9xVy1H/suYsBKbTn9w/I8d6Il+RCXIFJ3i5ZbKZnKX+WTdJu5kv3f1JAH55537uDb9GQr/08fb5BtnXPsirrdsAqD1UxD9dxD/h47GfyKyFx31bSCQW6K2duWB/LS3Hwj08CbaFlS9c/fYP5ZYWkRpSd/QxdrdFok1WrE6fjdH+8MWvuSxyfyt2iH8bf5XSNSZzlnz5HyvGSFk+tnom6XLSL73iwgD3uxJn8RMAc2cPI3d5KAvl9kdN7NGJ5bkEYA2NETtSx8IWF3Vdclwnb4jRMdmCOHkWnBRP0dvFwH0BfmX3Y8v7/tOZXSTOFFc9514FRRUKhaJKqF4N3akK0/w+cq0ynSjfWcAtLKyKsF8xZuL+nSlOv9RFw0En/3Sz4K7YGK8tyhS8yGmIPTNC7EU3MwdlQInbVw5lOavh6Gf9eEemsCp6oNuFAsbYOPp0ko4T0vVzpfU2oevg9bDUJHWv2R0CI2ZRE5euhNRMGHeyjvpDLUSelGa0lc6wtLmehl1TuJ3qyIPJNlw+g7vjx/hJthOAkflaPtx1jFpd+ogPHemi7/CC7Lx3OdqHdm5E0Si50LOllb4275SKvjJ2sYg5Pkn8RyWC49L99Le33MnD+7ZxR+NJADb7x9jonsYrVs5dv0TQ03IDLjkvgke8iEfr6TdlMzC9aLNxKo9rJImZdPoAlauE17oJVQUpQ2qlacvEwsT9Jtu/ERY2GUv61Wcsm7CwGTelm/Ivn7+VzX+ygHV68NzVfQBjPYyFs6JW4eYtAAx81oaCiTDeYiHRzhSnorV0PbgNYcjrGvwVm7+7/s/odslnpDwma0H1CnSQQSm/j3SbnMLdbTJF5YknriF6xJlkNzmTLmRR+y9lx7mosOnwJ3msX7pI2k8VsObmsfIFQpPSFdP3eiOv37id5O0FhC5/q+mQBTOzFzW17VJxucHVarOxe4LI5hyH9I0EpmQhiHtsgUJEx6utmOWmpeH1SZNz0XQWvRAQca24VrRihSC+VPC1IufXmedYCALBPIX6EP5yefiVqJqtOL5dKGBMTOF1FhjpHmsm/WoD39oqBXyx1kJvzaLrFi4nyFnjK9AdSTK2VEtZzouSgWuxAPiorZd+0PxolOBEAfcxWXRlZ7NgmjLgVXYhrabwco4lIjXMb9TRQ0Xm04Hlr6f3uAkP2Tw7uAGAk/EIg8V65kwZvPtw6Ah9bi+a0GjS5TMS96WBNG7hWV7sA2T3SYBJZ2p/e1EGUZs8snRe+E2MuoA0+ddiLN4mPV93iqFePo513ly0jRKu/a+xZbCZ0Y/LYDM3vXn15/+YuJu6b4TwvXRcFhPBqo1FVQt0AKIRsk6vj75AitOpesIDEHteFk1ED+ikd7TAbdDklzfrnuhhThcS2ENy4numkpj5gvSNOn5jMTBMPDlP/OV6jIgUfu7JScyl3PlncNWxDQNzeJTovBRi0UP1TLw/jnm3DEQ1Bxfx6yXi26fp98qydV+yiVxriftio/iEFOKNwTSL7hIBrYBhScEdDUppXNbY9ZxAWBbW5VT8naeF5w03YV8B01Pzjq95LQhcm2TYHaN7QWronBle2xOqKFO3HKUw9KScs4ZfkOozKNboYEjBXC4KOrgoq363+Mboc2fRKixWrxMs1i9iQWkIfE6xlVuYnFhKLHdkfDegN8SZvK6sPRcI9btwO+mzxsXiHbbtpMaO0/IDud/pxnpqt8wyeG+U2hPlcZPP/Iwlx+7F/i56h7LLlbOrSVULdOH3k+2spbR19da1XCts08RckNqSrgk86RgXe7UkNsqAXsvuRVoDC4T0lRYIH2k4TK2exacV+XSdzNzp9s/Q5p7lmZSMBnvnBSJ9GeNZzibwrQTUDHuVQjblPvgAJ84QOKkReMDJSNB1mVKo62A5mqSmkfR68WoZmnNOPnaxCCPQlW5jxKke9bwvee5xbHulodtqc5GeI2ZRI+io0N6FEqk+N/GtM8ylpNb+g4Ud7AyO8NMJGZTf550F/Jd1OAsbDUGzS2ZCfTZykJOB2PKLXku6cc2nWV/JiQ5OMDS7rZncBjnfRcZF449zWI7FLfstnbcQR0XleHmt1fjhOMZW2LJnkNOL0v3qPxjgK0330hKQClXkBR/acD+mUVp1K0UFRRUKhaJKqGoN/WIMP9tO13MzmBNy5RW7ZBDoH6T3uxpjIWmu/kXbPeRbwvRMyreyPTByQaDLNgzM+XmYn182WNd0Gd2Kc7NSGWIvzTAZlO6V/d21GHUG6DaNTRcuznA8L4O/cddKz4+os5TLfaHjFGx4EhlM0vOO7/i8Y16KcmZnMhvEpVmYHnHOwt1Xhcpzq6hGtQ1DNleq3EYIyOWkJlbh/xUuFyxmiPTL/cf6avAA89tl+mVsIYY9PiVT3dbQX2zPL+KbbSPfCdm4HNfwK6M0P9mO+XMr2z399b384Npt/PG+b5yzv4VN0pT2nE9ohDTvOWmlObvInGUQ0XR8jksmoXsYMkocScuFUEJDGmIxs74CwhWLoNubuxi9w000LoPX7ieiuI8PY2sVHUPP313X0WrCWA11zG+TCQ0zu+G+pjP0+qf4L80yHhV+UWfse51M5ZxY2g9GVhY4udotlM+jegW6bcuOiUOLuE5Kn+cLpW5iwzYitSSzEaBiAlqYTu64OJnFO+BZ3matH9j1wCfqXgHgwT07qD/cgevAcaxyDOkNHmKh65hNcaavlwLxZ1qO86OJN28ZcNU5/1zL/z+vDYFt2VipFDVHpBDIxerJdKzGCV4GFdk9Vi5P/HCOdJeXuV1SENcMNRE5nGTkqQbMnVJY2zrEH/Hya8bnAPiP1z/AnQEZ4P1ORq4qtWgE+ELtQZp0/7Jvfdw0eTq7kaBW4Fa/rFGIalIAHhjoBKD9dAk7m1te03Q9UG7loSXqGbk1ws4bTjGWkS/jkl9Q2NGJcM7XtSSfccvrwvTJ/Uyfxlyfm3SPwd7tMjvsn8WO8/7AaWZMP/dcexiAR7LX0PqUSeio09FzYRHhcYMmVprQrdK6qtUr0HEE8egknd+VN8io9eEem1zu4yI3ss/9F6nFrVkT/iuAbZQwTw9Qf3oAgAZdl0JX12U3PGBJ0zjlCYJeA+WH0OVCeNzYkRDpPlkMlPygbBC5AAAIHElEQVRslr/f8zdX7NzGRmJsOruElclcsd+8atgWdsnAHpfWXOIpi1h9GK3oCP7K7JZ1xugvGIgz9VR0cKDxgyOMPdl2yf2aPRdacPWaYId3hP5Sw5U+zauHEOj1UpGbubUZ921JPtVwkDMRWfX74y9ksWxBtiRfTOOpELYtiAQzRLzSOq33ZflkbT+7/QN0OKlaQaGRt21mgJ6AnBcNm2dIn2ogMCTjRYWeTQjDxndsdCWddZXWGFY+dIVCoagSqlpDx7Yx02nECdmc3uVyYRnGhUvEVRu2Ld0H5YIbw3GJGAbLdkjZbwwXpBeKqWnCs87ye3TxmcVf4Zeue07+rznJ2V+K0e7bhu8FWaxzjrZd2VM+6CfTEaS2RaqJi4Yf/7AbfXxsfRSbvBnOOJavTwzk0IZXfP8XW+lqVSkXr5WK6D8+Su98N2c/Iy0r28msDEzaGE65O06PtL4/lP7dv419hD+4K0T7bUPcEpeLuQQ9BeZMNz6Rx3vevFgwA/z53A0AvLrQiiZs7AWp4XoWLrPQbB2jaRYe3STseevphjt/7gh9/0KmQG7yTfDHg3eQ+t+dhJ6Qmr29ShZpdQt0WF6hCGQl4XvKF36pa32DoCHId53pLKEXfiLPpqE2vvX6HQDEPzJKY3yRwfuj9ORlq1b34bOYiynKa0qC47+sjzHX5+Kj7XLtzp/MtxE5Y2Gn3wXulkqWOzsasE6Flm2U4PQAG74qfbZTtyXItIHp5QI73PZKIayfGKJryE9hfzNfv04GB5Y2Felsm6E7PMuGgExxdWsGA7l6nh3ZQH5AVl1HXxMUawRsknPn1M976Xigj8CLp+RcgLV91pwYGkD09RTGYIi/4uMsNclrz8U1SiHINcvz12MFPN5zU1ANS+P/Dl7Hny3dQmHWqTVZ0Knph9r+wnKl6MzHvPTdtA4WreG9INAreS8J83eKY8GYmSXEkTO0JqX/dDrdiuf+KVpa5hj7NZnfHP+HTQQfPyr7Szul/lokTLYnRrZvJc+9f7Ke9qnSSo644opilwysQRnkbHxwicLmFhY2eJe/H3u6jcBURTZULo+dyuCeX1huS2HFalnakOAnLS0cdIwRYUJgxiQxZ+CZcipDp2ahrgbTJ33SmV6L0dtddKW7cL0iWxVb+dUvrKmkXJchXlvCpcklC+uc1ZTqPG5EwI8ZlSsW2W4dy+3B9PuZ9svsMK1kE0kbRDNFtIysQRDpJexCEVETYub9sno0sXWK32x8bLkB3IwpKJk6rrwFpdWtU3hvCXTF5VOR+WEXLcwx2Ya24ZESSaML9+emaKuTD0z//S5azK0E959ejuobva2M3+JiW9cAg1lnKb8zsteNuY4yIaoGxz1kl/unTCdxLyzS8HpwpbjLpctMDsf6Kt8rq1DAcvrTi5kkwQEvIb9Ppm0CtmnJVFXbXsn8si1IpWj/pnxhz97aSvJDefrv99I3LdNgOX12zbV0WGkvYQsB+RUFQ2gCRh2LEtk7UdcE3nJKrVN4ZpsWljOutmXLhWH62pm5UY7F5xtlBkx5zdWwVmHxaqsbplRBUYVCoagSlIaueHPslUVyjakZ4o/ZTHm7Cf6UXADk9699iD90f5h6rRfvrNSGxt4fYMfNp2gNLPC9A3LNvc7nS9iTM9UdkF5rKiwrK29CoUIjdTTPlW6IldpzWRt1Csey2XOD5ec33BICLHs5BTg4kSAJoIPtd4p0hHZBfGZNKScLlP/7BtPwHJviIi0WLkbe1qnso3qBXaIKixTrinJvFu3iE/w3tz3O9v85wkhJulcOZTs4kU6s2ukp3oDK+oqKts6X2q5ih0v/rmDZLaFnDcy0F4H0R4N8gbztJQbXC+ePixDYJQP34BTtD8lK0YeOv49vXXctn94s1269u+bIap/lMkqgK94ydj5P4kcTZEdkHtzv3vdJfvf9D16w3eGRVkYe7WXLMzJQZ05OY1VojIp3MeWy+phMbx3fF0QP57AW1q4X+KphW5gzSQJPycry0OE6lk418eD2mwH4xoZ96IsuuheyKxXpq4QS6Iq3TjzK6L1NZK6VeeydjXNkLS+DpTgvpOWq8A8e2UHDYx6iL01hOh3tbCXM15ZVMPvjL2toA7I1tWmsUSfK9zAqKKpQKBRVgtLQFVeEvzu7j7npGmoPSZO751AWd/8A5vzCSoMiRfVQ9qE7AVZXzsbMuvBkrOWCnqqs+6goMisnClhLS3hHx2h59Dz92DIvDI5eZZRAV1we5Yls2ZBeIjJooOedZkTzTYTTJvG5Aq5Rma9uJWcxDWPVmhIp1gDLxJyXtQiJZ5OExuoInp3HWqfVtFeV8zJo1gol0BVvDcvEmp0j9JxB2Okfby+msE1ZFWeUV/BZT32xFVeNclzEOjNEcGxKaq6rHAhUrKAEuuItYxsG5tw8OGuYnpPQq4T4exLbKGGm1boBa40KiioUCkWVoDR0xdtjnfgMFQrFCkqgKxSKd45ytawLlMtFoVAoqgQl0BUKhaJKUAJdoVAoqgQl0BUKhaJKELYKZigUCkVVoDR0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBKUQFcoFIoqQQl0hUKhqBL+P9qEY7z9cnv4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v_image = gray.copy()\n",
    "vertical_kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (1,2))\n",
    "v_image_eroded = cv2.erode(v_image, vertical_kernel)\n",
    "v_image_dilated = cv2.dilate(v_image_eroded, vertical_kernel)\n",
    "show_image(v_image_dilated)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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p/OparV69Wtb8XMePlCKRnp4uleQQahFRU1PD+Pi4/MaoqChWrVrFq6++ypo1a4BwhWaqFa7OW2XJAKxfvx4IWSZWq1WX/s8mU0vIlVCIjo5m06ZNlJWVUVNTA4QWa0NDAw6Hg6qqKiAUlPvss8+wWq18/vnnAGzcuJGtW7eSnZ0tmt586P+hznWqyZ2SkoLf7w97yL1eL59++ikQqqB0u90kJSWJGdrZ2Ulvby/R0dFSRTldx77Dhw+zfPlyUlJS7ruVoqp3X331VbKzs6XHT05ODsFgkOHhYRHMTU1NDA0N4XA4ZENT/V6MjI6OcurUKdnIjNlAimAwyMmTJ4mPj5dj3a+H2KhVx8bGsm7dOunfcunSJaKjo2UtKxYtWiT3bXBwUDY1dSyLxUJubi4bNmyQNghfffWVfN9oWdXU1MhGFhcXR2ZmZpglqrKB1HHnGuN9sFgsJCYmyrN77do1rl+/jtfrlfs+MDCA3+/HbDbL75/OmleuHKWRNzQ0cOnSJfLz88VtO1szFSLTmavRaDQPIRGvoSuzHEJd5gYHB3G5XJJyZSycUZ/zer188cUXvP7660DId+rxeHj00UfJzs6+7W8oDebMmTO3vXfy5EnefPPNsMZeU7tAzgUqeDU8PCyWgwrwTudHVKXhly9fJjU19a4l8Yr8/HzKy8sl7nD9+nWOHz/OwoULRbP7MVqL2WwmOTlZ2jjcvHmT//znP5KWdy+wWq1h3TSno6KiQmIH58+fv2d/e6aonPkFCxawefNmIJSOu2HDBpqamqTTpMPhkJYAEArUqeEfyi1jMpmoqKhg9erV8prCZrNJymZ6ejo9PT1SJr906VImJycZHh4Wy7ahoYGoqCg8Ho+4XOY6IcC43owtDcbHx3nkkUdYuHChyIFDhw4xOjrK0aNHJW6Sn58/bYMuv98veelqvcfExMx6mmbEC/R7jaoYe/rppzGbzZw/f579+/fL+7/61a948sknRagY35stZuqf9vv9DAwMiAkeCASkEs4Y0JnqZ1Wo2MGyZctITEwkJSVFcvJdLhcxMTFMTk5Kpsvbb7/NxYsX6ejoCMtr/yEYXQTKP7527VpaWlro7u6WzJfJyUmampokTqAeYJ/PF+aKyMrKYvXq1VRUVAAhP3BDQwNnzpyRbBjlnlD/r6mpoaioiEceeURM68nJSaKioiS3fbawWCxkZ2fzy1/+EggVvsXFxREdHU1aWhoQimH09fXJfSssLGTZsmUEAgERRo2NjeTm5obNIlX3aHx8XIR8b28vo6OjUoQzMTHBggULsFgskmEEIYUpISFhzn3nUwkEAvT29vLNN9/Iaz/96U9ZtmyZrP2UlBSqq6u5efOmxIaysrJkDRldXr29vdK35ciRI1itVjZt2iQbwWwlQkS0QFe+LaU9HT16lK+//pqcnBweffRRILTjxsbGhmliV65coba2Vioos7Ky5L2//vWvQKgMvKioSKbCQEgrWrNmDYsWLaKkpAQI+Sz37t0blvp0P86zr69PgjGjo6MynQlC/myXy4XL5QrTrPv7+/niiy/EwlCL7tq1a9LQKTExEa/Xe8+0Xr/f/50a7/dFaX+lpaVs27aNvr4+CWCre6ge0qkNueBW+pnVaqWsrAwICbulS5dy6NAhuT7Xrl0LK8BRlaIul0sKscrKyubEX6zWuipoWrx4MWazmaamJvFlj46Ohllkk5OTtLe3U1JSIpZncXExaWlpfPPNN2HCWll0AwMDwK1CJHXt2tvbyc3NDSuoSk5OZvny5RQVFc3IopsNjGX77e3tEiewWq1UVFSQlJQk1uPWrVuxWq3U1tZy4MABIKTVl5eXh3URVQVoyhLq7u4mJyeHpKSkWQ8GR7RAh9ANVO6C5uZmjh07Rm1trQT5Nm/ezLp16ygsLJSLfuPGDa5cuSLH2Lp1K0uXLuXcuXNSMdbZ2cmePXvCBENycjIJCQnYbDa5kZWVlRQUFNDa2hqWJTMfSUxMJD8/X0xG4DYXU1FREb/73e/YuHFjmLtKmaFTKwbHxsbETDcO4r6XC1wJ0Li4OFasWIHJZBIL4MiRI7S2toYF6Kaju7ubpqYmCZQuWrSI5ORkMjIyZPOvqqqio6NDyuSNqCBwWlqaZFLdb/eCWnsjIyMcO3aMTz75RLKTiouL2blz57TfUy6F+vp6aQ+sBJTb7cZms4l7EiJnFKMxE+Xy5cscPHhQ3tuxYwcpKSlhm3FqaiqLFi3i7NmzXL58GYDa2lqpnla0tbXx0UcfSR91CG2oBQUFs76566CoRqPRRAgRq6ErDXFiYkLM7ubm5rBxchDKof7Tn/7E2rVrpert/PnzdHR0iD+4tLSUFStWUFVVJZ8x7u7qeEVFRVJMo16z2WwkJSURHx8vZvm9JhAIhJ3n6dOnw3LC09LSSE1NZenSpdJEyul00tzczIkTJ0Rjy8jIYHR0lJaWFskvTk5O5ttvvw0birBw4ULsdvuMtI+pfmS73Y7D4bhn/mVjXxmr1UpSUhKrV6+WxlJFRUUcPnxY3FE3b94M67I33W80Mjk5KW6aiooKnnzySTlvu91OcnIyaWlpEmRXVcLzyWesLCmVgz61n8lMUZYHhAKsk5OTYpk8/vjjvPLKK2ENqO40tnEuUC4jlbjw1ltv/aD+Kt988w29vb08/fTTsg7+9re/8eGHH4pFM5dDtiNWoMMtE0uZ0eqhfuqpp1i8eDEA//vf/4CQT/Avf/mLfG9wcFByl4uKioiNjcVms4l/raSkhJUrV/L555+LcFi6dClut3taU9tqtc5Z/vmlS5eor6/H5/PJJpWamorX6w17uM1mswTClBAwmqnG19V7MP0Da3zNOBxgaGiIvr4+uWb3Ilhk/Fs2m42EhAS5v2lpaVRVVXH27FkgFDdoaWkJ8+WPjIzQ19dHXFyc/B6r1Sr+YLVR5uTkkJaWJo2/1OxNY8HIbAov9beGh4e5ePEiQ0NDYQ2z6urqpEEXhPLtXS6XuFfa2tq4efNmWBDc2Jhq6mAYuBWvUNdAfW9kZASv10tmZua8EuTfhQoiL1iw4La1aLFYWLJkCRkZGXzyySfArSZsd2Px4sW88MILlJWVhbUTmQ0iWqBDKAVRZTwMDg6SmJhIQUEBjzzyCBDycV+8eJHq6moJnra0tBAXFyeLNikpSbQbJdA8Hg+bNm0KS1mb7ZFrCovFQmpqKuvWrQOQAqiPP/4YCJ23z+fj9OnTkq2SkpJCS0sLnZ2dIly9Xi8TExP4fD7ZlJTWoTR21TZ1pnMVjaixfarw5EHj2LFjTE5OSm/1zMzMOf09xuurNl3VrmJ0dJRz584xMDAgWrW6pyqmcfPmTRHoCrUWprNajH1aAoHAbdPA5jsDAwOSZgmhOINScKZTwkwmk6TGqnTQ69ev09DQwL59+0ThU6jA78KFC8nMzPzBswR+DBEt0FVr2Pr6+rn+Kfcds9ksQUdVOTgdKuBZW1sb1oAJQtk9ExMT+P1+CQp7vV6Gh4elAjQxMXFGJuXU8XbqN84GxiBfdnY2WVlZbNiwAbileRpdb6q60dgDxmq1kpKSws9//nPRSlVamsJkMs1ZX57pBK7dbhdXU1xcHOfOnaO+vl4qVrOzs+nt7Q3LxpgpyrWlNPLm5mbi4+Nlo09JSQmzDuYTysq8fPkyjY2NAMTGxrJ8+XJJsVTnN11TvWAwKNewqqqK+vp6jh49Khb3ypUraWtrE+Xnsccek3mzs22l6KCoRqPRRAgRraFPx5YtW1i5cqX4wi0WC+np6axfv178h11dXXR1dUnBisfjuS3QZbFYJLd7PmD8bU6nk4qKCimEuXz5svitVVGMEaVpGAttlGumpaUFi8Uiw7EdDoeYljPVPtTnXC4Xfr//thal94M7DRkx9uIwauh2uz1MQzOZTPj9fmJiYigsLASQXPwLFy4AIS0vMTFxTjQxIy6Xi+TkZJqbmyWlsqysjK1bt7J792753G9+8xuOHz9+W7GbqjSFkMtlqkvMarUSFRUl1huEXDoul0s09Pz8fGmhO19850Yr8dq1axw8eFASBbZv305+fr58ZrraiEAgwMjICP39/ZKvXldXx9WrVxkYGJBnac2aNezatUssuY0bN4pcmO2hNhEr0FVEPiMjQ3xdakxaTExMWLXX1IBPdnY26enpYQ155ssinStUQPnYsWMsXryYRYsWhQV8prs+gUCAnp4eaWjW1NR03zJ9vg9Tf+udgngmk4no6GipDl6zZk1YJ725xJjdY7fbKS8vp6mpSSofs7OzWbBgAdu2bZPX/H4/O3fulPv28ccfS4Vobm6uHKupqYmRkRE5fnR0NB6PB5/PJ/EoteGXlpYCocSB2WpANVOU0tDf38+RI0f4+uuvxXUyOjpKY2OjbO5OpxOTycTExISc2/j4OBcvXuTSpUvS7K21tZXOzk4cDgeHDx8GbjXvU1WhLpdL2jGraz1bc1UjVqBDSBCnpKRIgcXg4CCpqalh/uXpHmbj0IoHEYvFQmZmJs899xyA+IuN5eiqda7Rl6wyP4xtZN988817OqQiLy+PnJyceVM5eDdMJlNYa4HVq1ezcOHCsMrS+STAjOzevZvS0lIRYBCap7p9+/a7fm+6Ht6q8+id4jLzkWAwKFWtx44d48CBAzQ1NYmf/1//+ldYkoPb7ZYsLGNlbUdHh7RWhpAmb7FYcDgccvyzZ8+yYMECCZK3trZisVjC5unOWvxoVv6KRqPRaO47Ea2hm0wmnE6nNCNS4+Ei3YWiXCBKG1fna7Q6jBkdUzMm3G53mGbndrslw6O1tZV//OMf/PrXv5YBIEZt22gBjI+Pc/36dWnoZLfbycvLIyUl5YG4/uo6qvPzeDxhA6Kn6409m6hrqHrQxMXF8cEHHwCIr9jj8UjjMFWP8cc//hGAV155herqaj777LOwoR1RUVH4/f7bSv7tdrscKzU1lWAwKFkicXFxD7RVC8gIwuka0X0Xf//73/nzn/8MhNIjKysr+f3vfy+FfLNlkUa0QIfw6rb5bCLfD+52rncKGiqUqbhy5UoyMzOprKwEQnMpu7q6ePfddyU1sLi4mOjo6LBNJBAIcPPmTS5cuCBpcmlpaRQXF8+biU0zxdjZcb4KLYvFQlZWFr/4xS+AUCfIlpYWxsfHbwtAq1TS3Nxcnn/+edasWSNjAs+fP8/Vq1fp7+8Xl0IgECAuLo7CwkIJEFdWVuL1eiUN9vXXX+fZZ59lyZIlYYVkc4XRnbJw4UL+8Ic/ALeKxHp6ehgcHJTAZnd3922C3Gw2U15ejsvlknz1hIQEioqKyM/Pl7Xw4Ycf3pbSOldEvEA38jAJ8x+LulYOh4P8/HzJhImNjeWtt96ipaVFOk+++OKLrFy5kqioqLCGUS0tLWFdGjMzM0lJSZmT4quHAYvFIq1yt2zZwpUrV25rMqfy1CGkcTudTsrLyyVYPTAwQGtrK+3t7aKhq1iUmlQFoXqEwcFByYy6cOEC1dXVxMTEiBY/F4U1RlRdRkFBgYzQUwFu1T5ZdUD1+XxMTk4yPj4u52S1WomJiSE6Olo2KTVwfGRkRLqs1tfXU19fL753h8OBxWIJ67c+WzxUAl0zc4zBYpPJJA/y+vXrsVqtvPHGG5Ii984772A2m6mqqpKofmtrK4cOHaKxsVG0fTVPVG+s956p3S7j4+MpLy+nqKhINHK/34/JZBJ3mrpXNptNNuz4+HjS09PDUhRVoZbRbacygH7yk58AoYEX+/bt4z//+Q8vv/wyQFgbgLnA6JKCWzNVFbGxsRLwVhhnp6rvGyujVTrrtWvXpG2IynxS3zOmfc720G0dFNVoNJoIQWvomu/EqJm53W7Wrl3L+Pg4//73v4FQ50k1BEFpeocOHaK6uprBwUEpu1+zZg2JiYlaQ7+PGDVJ49hDuKVBTi2smvr9qKioMPfZ1OPCrbxqZX0pV49xwPhs5V7PlB9S9DRTDXuqa+VOtQ73Gy3QNTPCmL0yHUeOHGHfvn3itzROftHMHUZBcremat/VMXO694wC2+l0Sp66qroMBAJzPkP0xzL1GgSDQakuV+6m8vJyampqpIBrumrs2UILdM33xm63s2bNGhk2/N///pe9e/fe9rn8/Hx27twpqVvIX7LjAAACMElEQVRqmpPmwUdt7KohVV1dHYODg2HzRCMVFYdQsxFKS0spLi6WDq6XLl3C7XbPSSqnFuia783AwACff/65tCJtb2+X/uHK9F62bBk7duygoqJCHnItzOeW2TD7V65cKX1/5muKZyTzYNtDGo1GoxG0hq65JyxZsgSPxyNm6JIlS8jKysLlcs1Zz3DN/UP50I3NraKjo3G5XGKJzaeA6L1iuiIzh8NBcnIyq1atCvvsXMQP9JOmmRHGLIfo6Gjy8vKknDkhIQGXy4Xb7ZbSeOU/fNCDYpo7YzabpU3sqlWryMjIIDs7+6F0tcyXtsGmWU58n90se819we/3MzIyIpVxMTExmM1mLBbLd7bU1UQmPp+PiYkJLBbLbSPvNPeEGT1MWqBrfhDBYHDa5v1aiD+czPYgh4eQGV1YvYVqNBpNhKB96JofhHapaDTzDy3QNRrNj0Zv7vMD7XLRaDSaCEELdI1Go4kQtEDXaDSaCEELdI1Go4kQZjsoqiMnGo1Gc5/QGrpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECP8PXHpZFA0mOCEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.bitwise_not(v_image_dilated)\n",
    "imgOriginal = cv2.cvtColor(img, cv2.COLOR_GRAY2BGR)\n",
    "reversedOriginal = cv2.cvtColor(v_image_dilated, cv2.COLOR_GRAY2BGR)\n",
    "show_image(imgOriginal)\n",
    "show_image(reversedOriginal)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Separate parts of the image\n",
    "Get the image and split it in the five objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "def findLetters(imgErode):\n",
    "    contours = cv2.findContours(imgErode, cv2.RETR_LIST, cv2.CHAIN_APPROX_SIMPLE)\n",
    "\n",
    "    contours = contours[0]\n",
    "    imageRegions = []\n",
    "    areaArr = []\n",
    "\n",
    "    for contour in contours:\n",
    "        area = cv2.contourArea(contour)\n",
    "        areaArr.append(area)\n",
    "\n",
    "    \n",
    "    # encontrando mediana para descartar áreas fora do padrão\n",
    "    median = 0\n",
    "    areaArr.sort()\n",
    "    print(len(areaArr))\n",
    "    if len(areaArr)%2 != 0:\n",
    "        mid = int(len(areaArr)/2)\n",
    "        median = areaArr[mid]\n",
    "    else:\n",
    "        mid = int(len(areaArr)/2)\n",
    "        median = (areaArr[mid] + areaArr[mid - 1])/2\n",
    "    \n",
    "    for contour in contours:\n",
    "        area = cv2.contourArea(contour)\n",
    "        if area > 3*median or area < median/3:\n",
    "            continue;\n",
    "\n",
    "        x, y, w, h = cv2.boundingRect(contour)\n",
    "        imgRGB = cv2.cvtColor(imgErode,cv2.COLOR_GRAY2RGB)\n",
    "    \n",
    "        # se duas letras estiverem juntas\n",
    "        if w/h > 1.25:\n",
    "            half_width = int(w/2)\n",
    "            imageRegions.append((x, y, half_width, h))\n",
    "            imageRegions.append((x + half_width, y, half_width, h))\n",
    "        else:\n",
    "            imageRegions.append((x, y, w, h))\n",
    "    \n",
    "    imageRegions = sorted(imageRegions, key=lambda x: x[0])\n",
    "    \n",
    "    return imageRegions\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "def printRegions(imageRegions):\n",
    "    for point in imageRegions:    \n",
    "        imgRGB = cv2.cvtColor(imgErode, cv2.COLOR_GRAY2RGB)\n",
    "        imgRect = cv2.rectangle(imgRGB, (point[0], point[1]), (point[0]+point[2], point[1]+point[3]), (255,0,0), 1)\n",
    "\n",
    "        plt.imshow(imgRect)\n",
    "        plt.axis('off')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I found 14 black shapes\n"
     ]
    }
   ],
   "source": [
    "imgMask = cv2.inRange(img, 220, 255)\n",
    "show_image(imgMask)\n",
    "contours = cv2.findContours(imgMask, cv2.RETR_LIST, cv2.CHAIN_APPROX_SIMPLE)\n",
    "cnts = imutils.grab_contours(contours)\n",
    "print(\"I found {} black shapes\".format(len(cnts)))\n",
    "# imageRegions = findLetters(imgMask)\n",
    "# printRegions(imageRegions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XqLmWlJTQ09MjfuS6ujqZRJXGr+7VqVOnZMzPdPxIKRJdXV1SSQ6hFhHl5eXExMTIOY6Pj3P69Glee+01Tp48CYQrNBOtcHXdKksG4NixY0DIMvH5fLr0fzqZWEKuhMLY2BiHDx+mpqaG8vJyIDRYi4uLcbvdVFRUAKGg3KOPPorP52Pr1q0AHDlyhAMHDtDW1iaa3mzo/6GudaLJ3dvbi8ViCXvJbTYbjz32GBCqoHQ4HPT394sZmpWVRVpaGmNjY1JFOVnHvk2bNvHll1/S29t7x60UVb372muv0dbWJj1+WltbMZlMJCQkiGAuKioiMTERt9stE5rq92IkLi6ONWvWyERmzAZSmEwm1q5dy9DQkBzrTr3ERq16ZGSE48ePS/+WxYsXMzY2JmNZcenSJXluSUlJMqmpY/n9flpaWjh69Ki0QXjooYdkf6NlVV5eLhPZ8PAwHR0dYZaoygZSx51pjM/B7/czMDAg725+fj7z5s3DZrPJc09OTsZisRAIBOT8J7PmlStHaeTFxcUsXryYpqYmcdtO15oKOiiq0Wg0EULEa+jKLIdQl7mkpCScTqekXBkLZ9R2NpuNRx55hJdffhkI+U7tdjtffPEFbW1tAHz/hdCKR7/68leiwaxateq631+7di0vvvhiWGOviV0gZwIVvEpISBDLQQV4J/MjqtLwhQsX0tPTc9OSeMXOHTsB+PP7oaKeefPmsX79ei5fviya3a1oLYFAgL6+PmnjMGfOHJ555hlJy7sd+Hy+sG6ak1FVVSWxg2XLlt22354qKmf+ypUrHDp0CAil4x49epSioiLpNOl2u6UlAIQCdWrxD+WWCQaDVFVVcerUKflM4fV6JWWzq6uL9PR0KZM/f/48UVFRJCQkiGVbXFzM+Pg4drtdXC4znRBgHG/GlgYxMTHcv+b+67Y/wAHKysokbtLU1DRpgy6LxSJ56SrONjo6Ou1pmhEv0G83//bbfwv7+xc//wWv/cdr8vcf/vAHPvroIxEq27dvn9bzg6nnu1ssFpKTk8UEN5vNUglnDOhM9LMqVOzg3LlzDAwM0NvbKzn55748J9s9tespAE6fOc2SJUvIzs4Oy2v/NhhdBMo/fuLECfLy8sjIyJDMl6ioKIqKiiROoF5gq9Ua5opob2/n1KlTVFVVASE/cHFxMatWrZJsGOWeUH+Xl5dTX1/PV199JaZ1VFQU4+Pjkts+Xfj9ftra2vjjH/8IhArfhoeHGRsbo7u7GwjFMFJTU+W5NTQ0cO7cOcxmswijRYsW0dLSErYWqXpGMTExIuTT0tKIi4uTIpzo6GiuXLmC3++XDCMIKUyDg4Mz7jufiNlsJi0tjfvvDwnxn//s55Nut3XLVv79yr9LbKi9vV3GkNHllZaWJn1bNm7ciM/n4/DhwzIRTFciREQLdOXbUtpTWVkZDz74IK2trXzxxRdAaMYdGRkJ08QKCgooLS2VCsr29nb57rP9nwHw6LZHAfinX/4TpTtLgZBWdPLkSS5dukRdXR0Q8lnu2rUrLPXpTlxnamqqBGPi4uJkdSYI+bOdTidOpzNMs05JSeGRRx4RC0MNuvz8fGnoNDAwgM1mC9N6y0rLoPTbnavFYvlajfeborS/2tpa9u/fT2pqqgSw1TNUE9TEhlxwLf3M5/NRU1MDhITd+fPneeCBB+T+5OfnhxXgqEpRp9MphVg1NTUz4i9WY10VNF28eJFAIEBRUZH4suPi4sIssqioKHJycqirqxPL8+rVq3R3d3P//feHCWtl0SUnJwPXCpHUvcvJyaGlpSWsoKqvr48vv/yS+vr6KVl004GxbD8nJ0fiBF/Htm3bgJBWX11dHdZFVBWgKUsoIyOD1tZW+vv7pz0YHNECHUIPULkLCgsL2bBhA6WlpRLkO3ToEMePH6ehoUFu+ty5cykoKJBjHDhwgPPnz7N8+XKpGPvV//sVmzZtwrT1mmDo6+tjcHAQr9crD7KyspLGxkbmz58fliUzGxkYGKCpqUlMRkBedEVRYdG3Pr5xIe7bOcCVAB0eHubs2bMEg0GxADZu3Mj8+fPDAnSTkZGRQVFRkQRKL126RF9fH52dnTL5V1RUkJ2dLWXyRlQQuLu7WzKp7rR7QQmn+Ph4NmzYwOOPPy7ZSVevXmXfvn2T7qdciytXrpT2wEpAORwOvF6vuCchcpZiNGaiLFy4kC1btkxpP6fTycKFCwEoLS2V6mlFbm4uO3bskD7qEJpQGxsbp31y10FRjUajiRAiVkNXJmh0dLSY3YWFhWHLyUEoh/qXv/wlJ06ckKq3ZcuWkZ2dLf7g2tpazp49S0VFhWxjnN3V8err66WYRn3m9Xrp7+9naGhIzPLbjdlsDrvO1atXh+WEd3d309PTw/nz56WJlMvlorCwkHXr1onG1tnZSVxcHHl5eZJf3NfXx3333feNOkveDI/Hg9vtvm3+ZWNfGZ/PR39/P6dOnZLGUvX19WzatEncUXPmzAnrsgc3LyaJiooSN01VVRUfffSRaF0ej4e+vj66u7slyK6qhGeTz1gF/lUO+sR+JlNFWR4QCrBGRUWJZfLpp5/y+uuvhzWgutGyjTOBchmpxIUXXngBt9vN3/+fv//afX/2Dz+T///X+H+RlpbGBx98IOPgJz/5CTt37hSLZiYX2Y5YgQ7XTCxlRquX+sMPP+TixYsAfOc73wFCPsGf/vSnsl9SUpLkLtfX1zMyMoLX65XsjLq6Os6cOcPWrVtFOJw/fx6HwzGpqe3z+WYs/3zx4sWsXLkSq9Uqk1RPTw82my3s5Q4EAhIIU0LAaKZOxGT+muDrhI+DwSCJiYmkpqbKPbsdwSLj73u9XgYHB+X5dnd3U1FRwYoVK4BQ3CAvLy/Mlx8fH09qairDw8NyPj6fT/zBaqJsbW2lu7tbGn+ptTeNBSPTKbzUbyUkJLBkyRISExPDGmaVlJRIgy4I5ds7nU5xr+Tm5jJnzpywILixMdXEhWHgWrxC3QO1X3x8PDabjY6OjlklyG/GVIT5RP7mpb/hn//vP990m4sXL/L2229TU1MT1k5kOohogQ6hFESV8ZCUlMTAwACNjY189dVXQMjHvWTJEjZv3izB07y8PIaHh2XQ9vf3i3ajBJ3dbufw4cNhKWvTveSawu/309PTw/HjxwGkAOqJJ54AQtdttVpZvXq1ZKv09vaSl5dHVlaWCFebzUZ0dDRWq1UmJaV1SGe5W2gBrpbtU4UndxsbNmwgKipKeqt3dHTM6PkYLQs16ap2FXFxcSxfvpzk5GTRqtUzVamHc+bMEYGuUGNhMqvF2KfFbDZftxrYbCc5OVnSLG+I8bJvIIOXLFnCk08+KQqfQgV+L1++TEdHx7deS+BWiGiBrlrDrly5cqZP5Y4TCAQk6KgqBydDBTxLS0vDGjBBKLsnOjoai8UiQWGbzUZCQoJUgE4Vk8lEcMIbMV05yMYgX1tbG+3t7Rw9ehS4pnkaXW+qutHYA8bn89Hb28t7770nWqlKS1MEg8EZ68szmcD1eDziajp+LDS573l3j1SstrW1kZaWFpaNMVWUa0tp5IWFhQwNDclE39vbG2YdzCaUlblw4UIWLVoEwN/977+bfOMpKNImk4mysjKxuM+cOUNubq4oP59//rmsNzvdVsrdM71qNBqN5qZEtIY+GQcPHuTMmTPiC/f7/XR1dXHs2DHxH2ZmZpKZmSkFK3a7/bpAl9/vl9zu2YDx3FwuF1VVVVIIs3DhQvFbq6IYI0rTMBbaKNdMXl4efr9fFscO+83A//zmJDFF+c6A0+nEYrFc16L0TnCjRUaMvTiMGrrH4wlb4CIYDGKxWBgdHaWhoQFAcvGXLl0KwMjICAMDAzOiiRlxOp309fVRWFgomrnir5/5a978/28C8Oabb7J+/frrit1UpSmEXC4TXWI+n4/x8XGx3iDk0nE6naKhNzU1SQvd2eI7Ny60kZ+fz5YtWyRR4FZYsGABycnJ8i6dPHmSPXv2iCV35MgRkQvTvahNxAp0FZHv7OwUX5daJm10dDSs2mtiwKetrY2urq6whjyzZZDOFMYOchOZ6pqRRUVFdyzT55sw8VxvFMQLBoOMjY3JepInT5686X2YTozZPR6Ph+rqamnhOxHlQ7dYLOzbt0/cRE888YRUiLa0tMixioqKiI+Pl+OPjY1ht9uxWq0Sj1ITfm1tLRBKHJiuBlRTRSkNKSkpbNy4kQcffFDcT0/vfpq97+39xse8UnuFrKVZuN1uNm3aBFxr3qeqQp1Op7RjVvd6utZVjViBDiFB3NvbKwUWSUlJ9PT0hPmXJ3uZjYtW3I34/X46Ojp49913AcRfbCxHV61zjb5klflhbCP74osvhi1S8dp/vMbf/q+/Dfu9YCA4qZau+Ndf/2voP9tC1bStra2zpnLwZgSDwbDWAqdOneLy5cthlaWzSYAB/Muv/gWAf/zFPwLwo1d+BP/TomTHjh189tlnN91/sh7eqvPojeIysxGTySRVrRs2bGDbtm0UFRWJn/+HP/whL3/8ssRMHA6HZGEZK2uzs7OltTKAdYEVv9+P2+2W469YsYIrV65IkHz+/Pn4/f6w9XSnK36kfegajUYTIUS0hh4MBnG5XNKMSC0PF+kuFOVGUtq4ul6j1WHM6JiYMeFwOMQ0VX+rDA/V3+P6HwVMBp+hIV1ANXTyeDw0NzfT29t7V9x/dR+VNWG328MWiJ6sN/Z0ou6h6kEzPDzMU0+FGqH955v/SW1tLbX2Wmkcpuoxfv3rXwPw+uuvs3nzZh599NGwRTvGx8exWCzXlfx7PB45Vk9PDyaTSRpxDQ8P39VWLSBLEE7WiO7r+PGPf8zPfx5q8JWcnExlZSW//e1vpZBvuizSiBboEF7dNhtN5DvJza71RkFDhTIVz5w5Q0dHB5WVlUBoXcr39r7H7qd3T3JQrktVBCRNrru7m6tXr86aFZumirGz42wVWn6/n/b2dv70pz8BoU6QeXl5xMTEXBeAVjnrLS0tvPPOO5w8eVKWCVy2bBkLFiwgJSVFXApms5nh4WEaGhokQFxZWYnNZpM02Jdffpm9e/dy4cIFqZScyXfNWDNy+fJlfvOb3wDXisTS09NJSkqSwGZGRsZ1gjwQCFBdXY3T6ZSCvMHBQerr62lqapKxsHPnzutSWmeKiBfoRu4lYX6rqHvldrtpamqSTJiRkRFeeOEF9v55L08/9fQ3OmZHRwe9vb0zUnx1L+D3+6VV7sGDBykoKLiuyZzKU4eQxu1yuaiurpZgdXJyMvPnzycnJ0c0dBWLUitVQaiRW1JSkmRGLV26lM2bNzM6Oipa/EwU1hhRdRmNjY2yhJ4KcKv2yaoDqtVqJSoqipiYGLkmn8/H6OgoY2NjMkmpBcfj4+MpLQ21HF25ciUrV64U37vb7cbv94f1W58u7imBrpk6xmBxMBiUF/nYsWP4fD5eeuklPtz3IQB/9eRf3fA4n3z6CcPRIW1frSeqJ9bbj3pO6t4ODQ1RXV1NfX29aOQWi4VgMCjuNJWB4fV6ZcIeGhqiq6srLEVRFWoZ3XYqA+gvf/kLEFrw4sknn+SZZ57hjTfeAAhrAzATGF1ScG1NVcXIyIgEvBXGtVPV/sbeTCqdNT8/X9qGqMwntZ8x7XO6F93WQVGNRqOJELSGrvlajJqZw+HgxIkTxMTE8IMf/ACA+oZ6FhYtvG6//Qf2kzQnScruT548ycDAgNbQ7yBGTdK47CFc0yAnFlZN3H98fJzx8fEw7XJieq/Kq1axFuXqMS4wPl2511Pl2xQ9TVXDnuhauVGtw51GC3TNlDDmr09GbV0tKSkp4rfs7+9ngIFpOz/N5BgFidF1cLPtbvaZ8TujwHa5XJKnrrpYms3mGV9D9FaZeA9MJpNUlyt3U3V1NeXl5bKc3WTV2NOFFuiab4zH4+HkyZOy2PB3v/tddu3add12TU1N7Nu3T1K31GpOmrsfNbGrhlQlJSUkJSWFrScaqag4hFoboba2lqtXr0oH18WLF+NwOGYklVMLdM03Jjk5ma1bt0or0pycHOkfrkzvc+fO8cknn1BVVSUvuRbmM8t0mP1nzpyRvj+zNcUzktFBUY1Go4kQtIauuS1cuHABu90uZuiFCxdob28UAJ/aAAABuElEQVTH6XTOWM9wzZ1D+dCVj9zlcjE2NobT6RRLbDYFRG8XkxWZud1u+vr6OH36dNi2MxE/0AJdMyWMWQ5jY2M0NzdLOfPg4CBOpxOHwyGl8cp/eLcHxTQ3JhAISJvY06dP09nZSVtb2z3papktbYNN03kSJpNp5q9Yc8tYLBbi4+OlMm50dJRAIIDf7w9bQ3E2DHDN9GC1WomOjsbv91+35J3m1gkGg1PKn9QCXfOtMJlMkzbv10L83mS6F3K415iqQNdBUY1Go4kQtA9d863QLhWNZvahBbpGo7ll9OQ+O9AuF41Go4kQtEDXaDSaCEELdI1Go4kQtEDXaDSaCGFa89A1Go1Gc+fQGrpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECFqgazQaTYSgBbpGo9FECP8NNpVA62FlErsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cntImg = reversedOriginal.copy()\n",
    "# loop over the contours\n",
    "for c in cnts:\n",
    "    # draw the contour and show it\n",
    "    cv2.drawContours(cntImg, [c], -1, (0, 255, 0), 2)\n",
    "    show_image(cntImg)\n",
    "#     cv2.imshow(\"Image\", cntImg)\n",
    "#     cv2.waitKey(0)\n",
    "\n",
    "# show_image(cntImg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 250,
   "metadata": {},
   "outputs": [],
   "source": [
    "def checkWhiteCol(gray, col):\n",
    "    for p in range(gray.shape[0]):\n",
    "        if gray[p][col] < 200:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def checkBlackCol(gray, col):\n",
    "    for p in range(gray.shape[0]):\n",
    "        if gray[p][col] > 50:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def checkWhiteRow(gray, row):\n",
    "    for p in range(gray.shape[1]):\n",
    "        if gray[row][p] < 200:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def checkBlackRow(gray, row):\n",
    "    for p in range(gray.shape[1]):\n",
    "        if gray[row][p] > 50:\n",
    "            return False\n",
    "    return True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 259,
   "metadata": {},
   "outputs": [],
   "source": [
    "def findImages(image):\n",
    "    # flag for true - whitezone; false - blackzone\n",
    "    images = []\n",
    "    flag = True\n",
    "    startZone = 0\n",
    "    endZone = 0\n",
    "    # iterate in every column\n",
    "#     print(image.shape[1])\n",
    "    for col in range(image.shape[1]):\n",
    "        if flag and not checkBlackCol(image, col):\n",
    "#             print(\"here\")\n",
    "            flag = False\n",
    "            startZone = col\n",
    "        elif not flag and checkBlackCol(image, col):\n",
    "                endZone = col\n",
    "                tmp = image[:, startZone:endZone]\n",
    "                rowFlag = True\n",
    "                stRow = 0\n",
    "                endRow = 0\n",
    "                for row in range(tmp.shape[0]):\n",
    "#                     print(checkBlackRow(tmp, row))\n",
    "#                     if checkBlackRow(tmp, row):\n",
    "#                         print(tmp[row][:])\n",
    "#                     print(tmp[row][:])\n",
    "                    if rowFlag and not checkBlackRow(tmp, row):\n",
    "                        rowFlag = False\n",
    "                        stRow = row\n",
    "                    elif not rowFlag and checkBlackRow(tmp, row):\n",
    "                        endRow = row\n",
    "                        tmp = tmp[stRow:endRow,:]\n",
    "#                         print(stRow, endRow)\n",
    "                        break\n",
    "                images += [tmp]\n",
    "#                 images += [(startZone, endZone)]\n",
    "                flag = True\n",
    "    return images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 260,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = findImages(v_image_dilated)\n",
    "# print(len(images))\n",
    "# print(images)\n",
    "for image in images:\n",
    "#     begin, end = image\n",
    "#     show_image(v_image_dilated[:, begin:end])\n",
    "    show_image(image)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 263,
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_lines(image):\n",
    "    gray = cv2.bitwise_not(image)\n",
    "    # Remove horizontal\n",
    "    v_image = gray.copy()\n",
    "    vertical_kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (1,2))\n",
    "    v_image_eroded = cv2.erode(v_image, vertical_kernel)\n",
    "    v_image_dilated = cv2.dilate(v_image_eroded, vertical_kernel)\n",
    "    return v_image_dilated\n",
    "\n",
    "def checkBlackCol(gray, col):\n",
    "    for p in range(gray.shape[0]):\n",
    "        if gray[p][col] > 50:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def checkBlackRow(gray, row):\n",
    "    for p in range(gray.shape[1]):\n",
    "        if gray[row][p] > 50:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def extract_basic_image(path):\n",
    "    image = cv2.imread(path, 0)\n",
    "    elements = remove_lines(image)\n",
    "    return elements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 266,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "basic_image = extract_basic_image(\"captchas20/caixa.png\")\n",
    "show_image(basic_image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 267,
   "metadata": {},
   "outputs": [],
   "source": [
    "def findImages(image):\n",
    "    images = []\n",
    "    # flag for true - whitezone; false - blackzone\n",
    "    flag = True\n",
    "    startZone = 0\n",
    "    endZone = 0\n",
    "    for col in range(image.shape[1]):\n",
    "        if flag and not checkBlackCol(image, col):\n",
    "            flag = False\n",
    "            startZone = col\n",
    "        elif not flag and checkBlackCol(image, col):\n",
    "                endZone = col\n",
    "                tmp = image[:, startZone:endZone]\n",
    "                rowFlag = True\n",
    "                stRow = 0\n",
    "                endRow = 0\n",
    "                for row in range(tmp.shape[0]):\n",
    "                    if rowFlag and not checkBlackRow(tmp, row):\n",
    "                        rowFlag = False\n",
    "                        stRow = row\n",
    "                    elif not rowFlag and checkBlackRow(tmp, row):\n",
    "                        endRow = row\n",
    "                        tmp = tmp[stRow:endRow,:]\n",
    "                        break\n",
    "                images += [tmp]\n",
    "                flag = True\n",
    "    return images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 268,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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erPaf0FzJy0M9st6037+8zR/o49TzDTVuLaqwkCF2zj8SvVwoyl5VT546K3tX78q4tdSUft/U+/1urfN0o+wt7favVfKU/7ohhFAa9dd8XM24YwBgEAwADIIBgEEwADAIBgAGwQDAuDLGlZfhk7CB5Yw7BgAGwQDAIBgAGAQDAINgAGAQDAAMggGAESuLY9kBXJ24YwBgEAwADIIBgEEwADAIBgAGwQDAIBgAGAQDAINgAGAQDAAMggGAQTAAMAgGAAbBAMAgGAAYBAMAg2AAYBAMAAyCAYBBMAAwCAYABsEAwCAYABj/Bne1MlhY5RuwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "all_images = findImages(basic_image)\n",
    "for image in all_images:\n",
    "    show_image(image)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Find in the original image the elements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 291,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_image = extract_basic_image(\"captchas20/caixa.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 292,
   "metadata": {},
   "outputs": [],
   "source": [
    "def findInCaptcha(img, template):\n",
    "    w, h = template.shape[::-1]\n",
    "\n",
    "    res = cv2.matchTemplate(img,template,cv2.TM_SQDIFF_NORMED)\n",
    "\n",
    "    min_val, max_val, min_loc, max_loc = cv2.minMaxLoc(res)\n",
    "    top_left = min_loc\n",
    "\n",
    "    bottom_right = (top_left[0] + w, top_left[1] + h)\n",
    "    found = cv2.rectangle(img,top_left, bottom_right, 0, 2)\n",
    "    \n",
    "    found = img[top_left[1]:top_left[1]+h, top_left[0]:top_left[0]+w]\n",
    "    show_image(found)\n",
    "\n",
    "#     print(\"salvando\")\n",
    "#     cv2.imwrite('matchCaptcha20/' + filename, img)\n",
    "\n",
    "    return [top_left[0] + w/2, top_left[1] + h/2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 293,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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erPaf0FzJy0M9st6037+8zR/o49TzDTVuLaqwkCF2zj8SvVwoyl5VT546K3tX78q4tdSUft/U+/1urfN0o+wt7favVfKU/7ohhFAa9dd8XM24YwBgEAwADIIBgEEwADAIBgAGwQDAuDLGlZfhk7CB5Yw7BgAGwQDAIBgAGAQDAINgAGAQDAAMggGAESuLY9kBXJ24YwBgEAwADIIBgEEwADAIBgAGwQDAIBgAGAQDAINgAGAQDAAMggGAQTAAMAgGAAbBAMAgGAAYBAMAg2AAYBAMAAyCAYBBMAAwCAYABsEAwCAYABj/Bne1MlhY5RuwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IFWy/qlZ38bKFp9hOOSRI362CyHX1ITwXhrHTs7fVDaODohqNRlMjrGoLXXh9CzMuIHxe0r2q+VR+ex7TYzOxJ0LkqrKQrJQK2H04fpTxfWqp9UBDP36jTFdXih/NqSDZwWNb8W7O4fUuzKRGVlkicyrTj1JcEhg3qBtefEAGy1IuLSX27ByJA+pgTnf38OinzvC5fcpS+pv+R1g704kcGVclzkAp6mFjfIq6RdvP2dJ5026XiLfItKcSCHTAcSBfIDymzv/CbDPlVrUkr6RFjttxilk/RvnWxhoqXSYznQE6eifYEbnK82G1Wik0Bwg31KsOiwCOo8ZMS4LMJjVWbD9cnkvwG2sPkPyUcjmMFBswhOTkbEf1d/xpgbNoMbMpMcXatX3qepjKxfLV1/dROBYhcMWzYKGvcKRlVYOik4UI81K5Vt7sWLiWuPuxe+JD/P3abprrwrDMFrrh9yPWdDC/UbnUSlGTdI9BsGFhsxOzAExOV3POjViUQkuYYoNAuI+1d3oeOzd/wx28Km42OTJG3ewcdLSS3qHaB2TWBZEbNtP4wlXsceXSqcS1biWrVtCFx4PZ0kTmHvXACRvycZNSdCH44fE4qiLwoloyeye9fGX8Xv6g6+lq8C4gJAbgE4LRsloyDfQOcnZswQ+WPNzGuhcKOKZg4EPqiW5en2JuvBnhSES7eq+ZnlV5tysh+2URf/ArX+PFX+rhuQtbcaaU+G3adpUvrfkeERGqvu/NPMAGgjWeEH/a/V2+9NvvAuDb992DL2lSai/z+I7jAPx60wvEjds/vIRpYm9RxSGjD0m63NfbmlQGwt7/dIW+TAuW5TYuK/vY0ThKp/8ER2dUkVh2Jk4imP2ZjyHmyWPL1bvYlbZNeEyJy3guSsYxaTEduCZYbi8SsUpwfNRWz1vG8VHCS5eZpc51ge0IDfHVevcz1UyhO/hsLOqeaLS1MP5QM4H0jQ0t53iM9v1JnJlZDHenL3tTJ+nNyofeelgZBLJ/UYXztZlNlfiMbWPPzmGUyjSU1EyZ3qtiOmMf7KL5FTUWxam+W55IsToF3TAx6mPkdrYzvk8NunLcxj8hCLiGQOhkEHuf2+UvqmbO3Vsvsys2RMIs02aqm+ZQidrbPBC6DMBQtJGzYy34DqgL73hg7L4A85uLvHfraQDSpSCZXX4udYfwJpWgr9lfj+elk3fgAtwAx67O/Gu/7uPPyh/h/g+rbojdvuWzjmwpOVpUGQL/6uhHWf9liTh86rb+5p+feoim2FsX6Iwd5KtDKoAu/qqJ2NExnGSKnuLxhTcJo7p7zfyeLXzvs538yu5X+PrZPQCs/arAf+gczvx8TfjOfx58Qom3NJd5sjNNCusTFOKiKuievIMnbyBfUyuyrmemcfqH1ArWTVGc7o1g+6DlaAHP6Svqu4JBzLo6ZKGAzOeBG8TO3JRXp1DEGFHVyHHLZmZvG/NtML1T/WbjpSDyFlcmry5BvybneDEN7bPMlOqJXXLT1frKzM7WcaEpCjvURdsZvcrH6k5UxRwW8qX9wkOTMQ/AhsAk+9YMMf9xZY03+ue5u26IXv8IG71qiXbVCjLZVkfGCfLF848AYB2qw3Tksj3I0lITmDNwle6vlTmeUlkuLz+2lnevuUxX8zQf23UMgO2BYWLG9RH8G3GtZVbhM3GV3vnIw2eYc1T+V717DbtMB6/wVgOiAFbZxDtb4FZeHWnbeKbU/W0/EKL4SiudIyUKcdUP/altrVgb83S3pKqfef5SD/Z4kMbX3aD3uSxTiXX8j19tY1ubWqVd7Gwl+lLhemE2zGo3vtkNQXrXDXAu00rwuBpTwQtXsVfo5gdvhCwWCQyolN2h0y2cWd/KOk+y2lWzgoXNl+fUGug/H3iCjh8K6vrUSsiYyeAkYow+VM/Ojyuj5yOJYwtpfsvRnfQm98DxCmw/1A24HRan0ti2jdFQT3aNEtz5VoFZBG9qHtqUhZ25qxHHKwhMlQmcVcFTO5W+3n0iJeDguHv4ipk5AlMJwFd124lAALLZWzpWVu86UaPRaDRLWFUWemUnEbb3cP6zET547zE+GlRuhnZvmr13jzLzhDqlUStGQXqxpUHYULNku2eWJtODKYwlVmcF8w2KD1YNFR+eVcYaHqX528rvVz63hgPv3U3rgwtVE/VGAb/wveXA16xTYMI2mHFChMVCOmCvb5x1ngWfq1coX32ZMknLzW1O+jCyc9i3Mm1LSmx3o4rY1DR4PchCkcrao/7lGHZbnFJcWVheQ9BVcvBNzWCk3Krf1DShYJD6hh74nPqc9eAs8mACJpMLv+VuRSgalCuu0CjwGRazxSDBSffa5/ILnQlXEcI9ZuEIpq0IZcbxVlISEWRlke9lu/hvT30YgJ5vZBB9g0jXArVsG3MuQ31nhAtu//tvs5v6swKml6lX+A2e59H3qbEXO3ODVN3tPUzsiVKsX/q5cjzEwONqPHvy0Hhaku7xQc96AFr3j+MMDC8qMnO7tvr9GG3KHZu+t435JgNu6fr0elaVoN9OnGsu9MBcnJExFaEODPg5mtxJKQb++xeW7sVXGomfs2k/MaG+Y3QAZyVsZyYlSBt7Wm2hZ74yx7qLcfJHuvnTX34YgAcfvPiWvtJyM1UGLS//Zfhxjl/qJhhVhRXv7b7I55sOqt+qDGYEDhIbyXBZZRb4UwbMzF3/5T8nleWu7bqcFpftO/kCYnIKn7GwmxGo6sjKpC5tG2FZ1A0VyZSUO6WnaZKZxBp8Hm/VlYUwEF4PpTWqAdxcb4mQp8zJ1zaw4Zzy2Tvp9Mra/ORNInPKVebNCApyqdgVpcUL+Ub+8OBH2PIVlbsvz/fjLM7ikRKnWCQwmWdoXGUPJfsSbDqWwcku7+YhsmzhH0pj7lxaQLj2W1PVIKfjvV7g23+cx3dpjGJP+5LXvRmbfOPPJp3d389hnFKxOvs2xFlWj6C/gfVcdkuPc46P/nKU1/KqoOSFqc2cH23BnvUhQmrm/Oj24/zT+CHWe8t4blDunrSVtXo+ryq+cNyH34C6UQtjUDLhd7vNrS0SBKyAADeS7ZRWQInzYhZH3ZMpQucDGKMq4HOx1EyPNwXy5tktFdHLOOrh/Xr6nRw/vY72gwbejEoD/fHGPZz7xRb+ZMM32epbuE8ODmXpMFVWKaK+WeB2tke4NjAFIG3koklWvsHG3tK28Z4d5PIrqtq298FLDD/sY9NQF07/oHqTe51K9erhr0so370vbWDOqgDZ6pPypQhLtYt2pMRxc/UuWQ6/d+QTbPxKGfpUcFCWSkuv46Lns+60Wh9FB22MC0PYy5G+ueh4jIAfGQ7g+CA0qO5d6+HM0oyVdR2k7lYryeigGi++4RS5u7tI3u2lYlkbJUFgch4rFCHdozTEaYjAsLlkbAuPF6O1men7XC0RkDhVwDhzRcVl4LasWlaPoC/CTM7Q9WyYl4/dw/Otbln21jytiVkmX1dLnKbjknhAUGgUZO9WF3okX8+JYgeN5tVqQNCWqsJtXtrsz6lNor9z7m6a4nMYfnVj973/NK9sXkf0hyE8bvJE4Ki/2p63eiNXsGUmTBO7KYaxVllLm3yTb6lCtOwOvqcvb6PzeUH01SGcOSVoocvN9Cc6+buG+/nXzS8B0GAEsKUkaQuOTKm0wthAuWoJLhtv9BBJiTOXpfmouoeTe+rYsG+I8cE1tFlqHDjJFEZ9jKlt6rF5qKOfF65uoOmEBWNubvEyBsV/LtwxbBZhohyljGTaVu6Uf3n5kzQ948d77qIK+MIbnqNnYobOZ9TkRiqNncnc+etRSVf0qPEtOlqZ3KvcZM3HlNFlXBzCsR3MVuUemumJ4fjAl5HUHxmtfk+2Xd3ruIrzEh0sYI6m8DUGqaR1FuN+Aj7fQstcYWDE65nZ20Y+oYyAYMrBf34EK3d7s590UFSj0WhqhFVloVeCTfZEktDBOQJb15LrXGiukz7USstZZU2V6gxmfyHH9vZRjl1RBSSnJttYG0qxxTfO8CKf+cVSG9v9o1X3jXklwNRwADoL1x1Dx0HlAzansyq/di6L7W7VtSots59CxR1TWdF84e5v8fv2x7D8a2g4qXz0crUHk2+C+XiKDb+mgsnPXrwLZzRI986ry3xUtwG3OjIwLZkpBylJyY/zKkVx6HAnG46M48ze3NqWZUu1lXat/WXrbYRbTORuSlHobqDYIAiPSEJn3E1fcnmMSJhSt4qHzDeZGLak/uRMtZ7DjDcsfJ+7+Dbny8hICLloyOdavQRDQZWCiOviaW0k22HipuLT8Pq06sp6m2Nsq0fQ3UAfgHTs66ox/e4eoSqSDPn3Zas+8MAFFegq1Plp3jzHd+Z2cy6jAiR76wf4u0v7+GD3GfZF+tX3b8xRdzBM4LiKbB/e04sVtYkOlDAuKL+bnS+AdNQksxICoTdDSqRVxrx0lfpnVEn852Of4j9sfIZ7/NPEDHefVMTPXO4dHpU8N7SFT8RfBSDitSljM2g1MDSugqIbZspIe+W6pWS5RPipnwBgHmlm/PFujCdSb/j+/mwjxsF6IqeuYlUCfyvY7fZ2Qng8yA7lfp1dr4yRhtNzOElVZCdMA9qbmd0YrH4mMmLD4Ei1ZYMzO0fiRIaxd0ar75neFsH2R97gN5WLx2hOkN6iXDz1/crFIweu3pH22qtH0K9BGAJjOkvXc+6GxZkiVkOQVK8rToZDIRvg4rc2Y7jtXrbedwWvsPl/fbspF9Wpp9rCWEcb+PrQ/ez7BSXov7PjAH9++YPErqgbEBnwUYp58I/PVW/2aut5Xe338pLyD0742vnN93yKT/T+hI/WHwWgx+vgx3tDYa/0Nn84OMP/2fsVftf/CWY2qwCxbxYyuwt8ftOrtLs9TUzhx5GCnONHzqgHyjM9rdr4rmAqD509MUnrcx6m8h089U71cHqjJd7/rtfZExkA4H9eeA+xQQs5M7tch3vLqJy3UZYM5xr4v+l7+eY33w3Axq+OYg0M33yycg0up7AC7q+UiHCI9A6VbTOzRdJ6WHUkdVyDwmxpYq6nnly7uy/CiCTy+ghWdqHC2CkUMS8M0V7uYK5HjYGSd8E0b7igzjV6bgY5O4cRV783t6uN9BaDugFJ+CfKALTm70zsSPvQNRqNpkZYtRb6m2Vua5nfe+dzANSZeXKOMtf9QbUUWhNJM0bnks90eVM89ekv8o0Pqf4cP57aQLbkp6+ziTVPbwcg+OLZhfSj1YJjY7s9m5u/k6H55QQHdj7A1x66F4Dfecd+fjFymibTUy0quTa90y883O/P85c7v8xz69W1mLWC3B0eYotvjPg17QRyjg8z5257ly+ufPeUi3Qk9tVR4t9NEz+uUj0HfykOGxfeMzMSpWU4p4prVtOO9zfCUcfvn3NIF4I8PdRLxwtuKubo+Opajd6AYr3B0D/fSmhMnUMpJphvk3hvUSsVo7WZ9L0qXz3ds3x28qoVdGlZ2JeuIC65/+/14WtO4F2nUuQyl6NEJgXZTUtzw/9k/+O0vgwzTy4srcwCrP0Hi98vfxqAP33ib9/kQay+AV4twplOI2bnaBidoP6cEqy/PvUB/uqhd/BbWw7yaFi1hW33+G8o6vf4bbb5jlZfMxEYGFXXjIVNQdpcKLQRSLn5/Ln8bT+/W4ZjI6VAZrMYlwYAaD8U4h97tnKxXfWJifR7MNM5rJVWf/AzsDi2MT7SQKTPh++Kyr9fjednT6dp+P45AKL93aS2h2/4vvh5ZWDUvdSPnVZB/sU1DPbcHJzMEKn03BPGda4nx+fDbFu6S1HboSKBIxexbnHzrZ/GqhX0azFideR2dpBWm/RgRW1633GJJ5uO0uRRmSm/fvQztL8oKcQXZtCTyTbMIlgRE0/X0oq2WUsFTC4d7yI4ZtA0KQldUqXgK66I6K0iZbXNpzijhLYj1Uzucht/9sATPPugiif8m67vs8vdSm4xHkwi4uZ7kc5L1U88OuhWZBauzxpa0VT6XLv32t+fpP6lTgY2qhVda7+NnL31la/LiX+qSPRUmMSpIs50ReBWoXXuxowAjDNXaMp2MP6e+HVvc9whLAJ+ME1wVFOtyncs+RdUYsY1m4ebDSrnPNfmZoT1OwTPjKhA+R2+bqtf0G/wvUmlAAAFsUlEQVSSMlfnWbqvY30kz/RdKs2xfEn9W/RJ6oDJXR4a6pQL5RvJffxK8yG2h9SGEd9x7qP9xQzm4ER1f8rb0Zx+uaiUttvjkwSn02w8Eyd1bC0An3z0c/zqfYf4ZP1rgNr82SvMapfKm5G0fVyZjtOcciP9+VVkoS/GdRM5E0la9xu0HFKBd5GaUaKxGgXvDfCOTtN8zMB3cRSrcPMiohVPZULOZjH6h2grlcn0qjTFcp1JaGxhDE8+0kXjiRjm5avYc5XV+83daIa7uY6TaCDbvmDcxI+nsZNTy+Je1EFRjUajqRFWv4XuIvMFfOkSXfvVrDr0mI+t4TEGSwn+cvjd1fc5XolRFnQ/u2C9z7f4yHYvfNdrP9rKxP11fKbjcPU1Y17tHl9t1KTR1BKuX9iZmsabnlWNo1ZJAPunIiXO/Dyif5CI26Ih6u5KVN6geq2UeoKMPRijJeDF06dW5tXdx27Q/0d4vBhNKm13ZqtKaaykOd+pnPMbsfoFvbKsyhfwnLmCvXcTAI3blK/7Lw69j4bj6jRn7ldtVdd+O4XjBrqEz0dd7zom94ZInlXBrnX7C4zPdfFHO9XyLDIkMKbSWDXkZgGuG6SyXEKWSzjz84QG1aDe/F2TV6NNHN7w6wCMvTOG5+Ep/l3PszwQUDntcXMhcFrpWmlLyUA5QTYdomPG3dllFbaVXYxTKOC4gULN6kNaFtLNM3fcf023t1CDs56Je8NIQ1DcsRYA/9A0cmwSJ19gSds1YWBEI2R3qMlgdoOJf1pSd1RVEFu55esuufoFvYJbPWqFFnxZP5joJX7MQ+MpddNKsTCOD8RMproRrCxbeEam6Tzgx5tVr3lPDtA12oB9UEXGPSMDqmz37cJioXds7JlZxAk1SDuuxsmfX8O/feiX2faASjH6zY4fca8/h18sNPsqYzNuxfBMeTGyKu5wS/uga24p1XL9ZbIs7xjXGDFVYT/eR+dwI6V1zUztUL5xY0sbTa9H8fQN47gBVmnbCK8HEa0j17KgNYmTOZxKC5BlpHYEvYb7iawEqhWUk0n8P5ph0+kEyVdVg//PfmAtn7vvIE/UnaDRXHhg5h0fvhlxW3qgazR3gvSWEPaOHqLDbq+b0XlyayNM7DWI9i/zwd0AHRTVaDSaGkHIO5iS9Ijx5O37MSGUb8tNJRJ+PzKfxykWF/oim4byo13bBa5i3a/W9KzlwDAxo6pJkVzbweS9MWbfnefDW04A8Ej0NN+avocjf72Ltq+pAo9q4YZGs4IxwsrVau/cqCx0Hze00BtPK71o2H8Ze2rqturHfuebb8oFUTsul0pzoEqucz6/sGOPG8yUb5SgooX8rePY1Xxd48IALaVOzEIj30rtA+CZtl6sC3WsPzK37FuQaTRvBccNaho/OU/T5RjWxvbqLlXDj8UQjtoIpO6Kis05M7MrRkNqR9ArrJAL+7agUnCTzyMuDpBIzRAdUlWUqbuiNCQdjOFJ7FrLDtK8LZDFIvZkEk++gLO70sRHCXvHiwXME2pfXmcFje/aE3TNnUdKZLmEPTGJOaHyfJsPqD/pvBbNqkZK7EwG70+UeHfNrsGK+fG9flnl6q8wdFBUo9FoagRtoWs0Gs3NkLKary5OX8RrGgubZa8wtKBrNBrNT2NRgsUbJlesALTLRaPRaGoELegajUZTI2hB12g0mhpBC7pGo9HUCHe09F+j0Wg0tw9toWs0Gk2NoAVdo9FoagQt6BqNRlMjaEHXaDSaGkELukaj0dQIWtA1Go2mRtCCrtFoNDWCFnSNRqOpEbSgazQaTY2gBV2j0WhqBC3oGo1GUyNoQddoNJoaQQu6RqPR1Aha0DUajaZG0IKu0Wg0NYIWdI1Go6kRtKBrNBpNjaAFXaPRaGoELegajUZTI2hB12g0mhpBC7pGo9HUCFrQNRqNpkbQgq7RaDQ1wv8HeO2ioHm9VH8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[30.0, 29.5]"
      ]
     },
     "execution_count": 293,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show_image(all_images[0])\n",
    "show_image(test_image)\n",
    "findInCaptcha(test_image, all_images[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}