median cut color quantization.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from skimage.io import imread\n",
    "\n",
    "sample_img = imread('resources/girl.jpg')\n",
    "\n",
    "plt.imshow(sample_img)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "space_with_highest_range: 2\n",
      "median_index: 7500\n",
      "space_with_highest_range: 0\n",
      "median_index: 3750\n",
      "space_with_highest_range: 2\n",
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      "median_index: 3750\n",
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     ]
    }
   ],
   "source": [
    "def median_cut_quantize(img, img_arr):\n",
    "    # when it reaches the end, color quantize\n",
    "    print(\"start quantize: \", len(img_arr))\n",
    "    r_average = np.mean(img_arr[:,0])\n",
    "    g_average = np.mean(img_arr[:,1])\n",
    "    b_average = np.mean(img_arr[:,2])\n",
    "    \n",
    "    for data in img_arr:\n",
    "        sample_img[data[3]][data[4]] = [r_average, g_average, b_average]\n",
    "    \n",
    "def split_into_buckets(img, img_arr, depth):\n",
    "    \n",
    "    if len(img_arr) == 0:\n",
    "        return \n",
    "        \n",
    "    if depth == 0:\n",
    "        median_cut_quantize(img, img_arr)\n",
    "        return\n",
    "    \n",
    "    r_range = np.max(img_arr[:,0]) - np.min(img_arr[:,0])\n",
    "    g_range = np.max(img_arr[:,1]) - np.min(img_arr[:,1])\n",
    "    b_range = np.max(img_arr[:,2]) - np.min(img_arr[:,2])\n",
    "    \n",
    "    space_with_highest_range = 0\n",
    "\n",
    "    if g_range >= r_range and g_range >= b_range:\n",
    "        space_with_highest_range = 1\n",
    "    elif b_range >= r_range and b_range >= g_range:\n",
    "        space_with_highest_range = 2\n",
    "    elif r_range >= b_range and r_range >= g_range:\n",
    "        space_with_highest_range = 0\n",
    "\n",
    "    print(\"space_with_highest_range:\",space_with_highest_range)\n",
    "\n",
    "    # sort the image pixels by color space with highest range \n",
    "    # and find the median and divide the array.\n",
    "    img_arr = img_arr[img_arr[:,space_with_highest_range].argsort()]\n",
    "    median_index = int((len(img_arr)+1)/2)\n",
    "    print(\"median_index:\", median_index)\n",
    "\n",
    "    \n",
    "    #split the array into two blocks\n",
    "    split_into_buckets(img, img_arr[0:median_index], depth-1)\n",
    "    split_into_buckets(img, img_arr[median_index:], depth-1)\n",
    "    \n",
    "flattened_img_array = []\n",
    "for rindex, rows in enumerate(sample_img):\n",
    "    for cindex, color in enumerate(rows):\n",
    "        flattened_img_array.append([color[0],color[1],color[2],rindex, cindex]) \n",
    "\n",
    "flattened_img_array = np.array(flattened_img_array)\n",
    "split_into_buckets(sample_img, flattened_img_array, 7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x107686898>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(sample_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from skimage.io import imsave\n",
    "\n",
    "imsave('girl_reduced_128_colors.jpg', sample_img)"
   ]
  },
  {
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}