jupyter_cython_pillow_matplotlib.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext Cython\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%cython\n",
    "#cython: wraparound=False\n",
    "#cython: boundscheck=False\n",
    "#cython: initializedcheck =False\n",
    "#cython: cdivision=True\n",
    "\n",
    "cimport numpy as cnp\n",
    "\n",
    "def binarize(cnp.uint8_t[:,:,::1] ima, cnp.uint8_t threshold):\n",
    "    cdef int i, j\n",
    "    cdef cnp.uint8_t L\n",
    "    \n",
    "    for i in range(ima.shape[0]):\n",
    "        for j in range(ima.shape[1]):\n",
    "            L = (ima[i, j, 0] + ima[i, j, 1] + ima[i, j, 2]) / 3u\n",
    "            if L <= threshold:\n",
    "                L = 0\n",
    "            else:\n",
    "                L = 255\n",
    "            ima[i, j, 0] = L\n",
    "            ima[i, j, 1] = L\n",
    "            ima[i, j, 2] = L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import time\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import io"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17.98 ms\n"
     ]
    },
    {
     "data": {
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NZolEIzS5m1i3oQ2ny0QmE7t8f4nLe7uvZPbt20cymWTXrl3LMpOtFddeey37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\n5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      "text/plain": [
       "<matplotlib.figure.Figure at 0xaf5eb7ec>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
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    "im= Image.open(io.BytesIO(data))\n",
    "\n",
    "t = time.monotonic()\n",
    "bim = np.asarray(im, dtype=np.uint8)  # copy\n",
    "bim.flags.writeable = True\n",
    "binarize(bim, 127)\n",
    "elapsed = time.monotonic() - t\n",
    "print('{:.2f} ms'.format(elapsed * 1000))\n",
    "plt.imshow(np.hstack((im, bim)))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  }
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