hough_draft.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import cv2\n",
    "from matplotlib import pyplot as plt\n",
    "img=cv2.imread('/Users/roy/OneDrive/Courses/AI/WeChat Jump Bot/Code/screen.png',0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "edgemap = cv2.Canny(img, 50, 500)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def hough(edgemap):\n",
    "    rows,cols=edgemap.shape\n",
    "    theta_max = 180\n",
    "    rho_max=np.floor(np.sqrt(rows**2 + cols**2)).astype(int)\n",
    "    Hough=np.zeros((theta_max,rho_max))\n",
    "    y_index,x_index=np.where(edgemap>0)\n",
    "    count=0\n",
    "    for y,x in zip(y_index,x_index):\n",
    "        for theta in range(Hough.shape[0]):\n",
    "            rho = int(x * np.cos(np.radians(theta)) + y * np.sin(np.radians(theta)))\n",
    "            Hough[theta,rho] = Hough[theta,rho] + 1\n",
    "    return Hough\n",
    "    \n",
    "def localMaximum(x,minDist, topK):\n",
    "    row_offset1=np.round(minDist/2.0).astype(int)\n",
    "    row_offset2=np.round(minDist/2.0).astype(int)\n",
    "    col_offset1=np.round(minDist/2.0).astype(int)\n",
    "    col_offset2=np.round(minDist/2.0).astype(int)\n",
    "    \n",
    "    rowindex=np.zeros(topK)\n",
    "    colindex=np.zeros(topK)\n",
    "    \n",
    "    for i in range(1,topK+1):\n",
    "        I_row,I_col = np.unravel_index(x.argmax(), x.shape)\n",
    "        \n",
    "        if I_row-row_offset1<0:\n",
    "            row_offset1=I_row\n",
    "        if I_row+row_offset2>x.shape[0]:\n",
    "            row_offset2=x.shape[0]-I_row\n",
    "        if I_col-col_offset1<0:\n",
    "            col_offset1=I_col\n",
    "        if I_col+col_offset2>x.shape[1]:\n",
    "            col_offset2=x.shape[1]-I_col\n",
    "        \n",
    "        x[I_row-row_offset1:I_row+row_offset2,I_col-col_offset1:I_col+col_offset2]=0\n",
    "        rowindex[i-1]=I_row\n",
    "        colindex[i-1]=I_col       \n",
    "    return rowindex,colindex\n",
    "\n",
    "def polartoxy(thetalist,rholist):\n",
    "    # y=round(rho/sind(theta)-x.*cotd(theta));\n",
    "    k=-1.0*np.cos(np.radians(thetalist))/np.sin(np.radians(thetalist))\n",
    "    b=rholist/np.sin(np.radians(thetalist))\n",
    "    return k,b\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
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kAACDCTIAgMEEGQDAYIIMAGAwQQYAMJggAwAYTJABAAwmyAAABhNkMEB372k6AJtNkMEK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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a454e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "acc=hough(edgemap)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kAACDCTIAgMEEGQDAYIIMAGAwQQYAMJggAwAYTJABAAwmyAAABhNkMEB372k6AJtNkMEK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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a454e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "theta,rho=localMaximum(acc,7,3)\n",
    "k,b=polartoxy(theta,rho)\n",
    "# cv2.imwrite('/Users/roy/OneDrive/Courses/AI/WeChat Jump Bot/Code/H.png',acc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kAACDCTIAgMEEGQDAYIIMAGAwQQYAMJggAwAYTJABAAwmyAAABhNkMEB372k6AJtNkMEK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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a454e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(rho,theta)\n",
    "print(k,b)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kAACDCTIAgMEEGQDAYIIMAGAwQQYAMJggAwAYTJABAAwmyAAABhNkMEB372k6AJtNkMEK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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a454e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, axs = plt.subplots(2, 2, figsize=(10, 20))\n",
    "axs[0, 0].imshow(edgemap, cmap=plt.cm.gray)\n",
    "axs[0, 0].title.set_text('Original Image')\n",
    "# axs[0, 1].imshow(bodytemplate,cmap=plt.cm.gray)\n",
    "# axs[0, 1].title.set_text('Corrlation Image')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}