{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Filters are easy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.image as mpimg\n",
    "import numpy as np\n",
    "from scipy.ndimage import convolve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f63681529e8>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pojBEZ+F4e0L1pa9y1p9/hN1HDoNRxr5F1WGTDJEBFYFQWs7+9oMc+dTnGZ+9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1f47vIiufHPBzEI5Br5KW7DNwlsnv+bZ4vMvBOAPe/FopGNPU9sTqY4c4pWenzlGvrc4jFuca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\nGyUuMQGCy3NonY12yIkYgiO5UySQztNppdCmGTBbG6O3hj7OICiTZULBw6m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ZeloxVJrd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\nZSpTmcoEy/8HcrO89MWvFXAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6368e156a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# loading image\n",
    "img = mpimg.imread('i/super_mario_head.png')\n",
    "plt.imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f6366ca91d0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Tl7Qh6payKh2qKoicpJJqo4zIXpjHRqx9fm+wa8RfO+ZrUtbrgh3zWHahpZLmqSMiOynu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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f63689172b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cutting the image\n",
    "eye_brow = img[100:150,150:200,]\n",
    "plt.imshow(eye_brow,interpolation='nearest')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kernels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "kernel_edge_detect3 = np.array([[-1.,-1.,-1.],\n",
    "                                [-1.,8.,-1.],\n",
    "                                [-1.,-1.,-1.]])\n",
    "\n",
    "kernel_sharpen2 = np.array([[-1.,-1.,-1.],\n",
    "                           [-1.,9.,-1.],\n",
    "                           [-1.,-1.,-1.]])\n",
    "\n",
    "kernel_blur = np.array([[1.,1.,1.],\n",
    "                        [1.,1.,1.],\n",
    "                        [1.,1.,1.]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6368dce780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_edge_detect = convolve(eye_brow[:,:,0], kernel_edge_detect3)\n",
    "img_sharpen = convolve(eye_brow[:,:,0], kernel_sharpen2)\n",
    "img_blur = convolve(eye_brow[:,:,0], kernel_blur)\n",
    "\n",
    "# creates sub plots of 15x15\n",
    "f, (plt1, plt2, plt3, plt4) = plt.subplots(1, 4,figsize=(15,15))\n",
    "\n",
    "plt1.set_title('Original');plt1.imshow(eye_brow[:,:,0],cmap='gray', interpolation='nearest');\n",
    "# showing each channel img[x,y,color_plane] \n",
    "plt2.axis('off');plt2.set_title('Edge detect');plt2.imshow(img_edge_detect,cmap='gray', interpolation='nearest');\n",
    "plt3.axis('off');plt3.set_title('Sharpen');plt3.imshow(img_sharpen,cmap='gray', interpolation='nearest');\n",
    "plt4.axis('off');plt4.set_title('Blur');plt4.imshow(img_blur,cmap='gray', interpolation='nearest');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Convolution it's a simple operation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![convolution explanation](i/kernel_convolution.jpg \"convolution explanation\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Source: https://developer.apple.com/library/content/documentation/Performance/Conceptual/vImage/ConvolutionOperations/ConvolutionOperations.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# You can apply filters using [convolution even with **ffmpeg**](https://ffmpeg.org/ffmpeg-filters.html#convolution)"
   ]
  }
 ],
 "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
}
