04-Morphological-Operators.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a href=\"https://www.pieriandata.com\"><img src=\"../DATA/Logo.jpg\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Morphological Operators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_img():\n",
    "    blank_img =np.zeros((600,600))\n",
    "    font = cv2.FONT_HERSHEY_SIMPLEX\n",
    "    cv2.putText(blank_img,text='ABCDE',org=(50,300), fontFace=font,fontScale= 5,color=(255,255,255),thickness=25,lineType=cv2.LINE_AA)\n",
    "    return blank_img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "def display_img(img):\n",
    "    fig = plt.figure(figsize=(12,10))\n",
    "    ax = fig.add_subplot(111)\n",
    "    ax.imshow(img,cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Erosion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Erodes away boundaries of foreground objects. Works best when foreground is light color (preferrably white) and background is dark."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [],
   "source": [
    "kernel = np.ones((5,5),np.uint8)\n",
    "erosion1 = cv2.erode(img,kernel,iterations = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(erosion1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()\n",
    "kernel = np.ones((5,5),np.uint8)\n",
    "erosion5 = cv2.erode(img,kernel,iterations = 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(erosion5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Opening\n",
    "Opening is erosion followed by dilation. Useful in removing background noise!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "white_noise = np.random.randint(low=0,high=2,size=(600,600))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 0, 1, ..., 1, 1, 0],\n",
       "       [1, 1, 0, ..., 0, 0, 0],\n",
       "       [1, 1, 0, ..., 0, 0, 0],\n",
       "       ...,\n",
       "       [0, 0, 1, ..., 1, 0, 0],\n",
       "       [0, 1, 0, ..., 0, 0, 0],\n",
       "       [1, 0, 1, ..., 0, 0, 1]])"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "white_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "white_noise = white_noise*255"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(600, 600)"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "white_noise.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(600, 600)"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise_img = white_noise+img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(noise_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [],
   "source": [
    "opening = cv2.morphologyEx(noise_img, cv2.MORPH_OPEN, kernel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(opening)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Closing\n",
    " Useful in removing noise from foreground objects, such as black dots on top of the white text."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise = np.random.randint(low=0,high=2,size=(600,600))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 0, 0, ..., 0, 1, 1],\n",
       "       [1, 0, 0, ..., 0, 0, 0],\n",
       "       [0, 1, 0, ..., 0, 1, 1],\n",
       "       ...,\n",
       "       [0, 1, 0, ..., 1, 1, 1],\n",
       "       [0, 0, 0, ..., 1, 1, 1],\n",
       "       [0, 0, 0, ..., 0, 1, 1]])"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "black_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise= black_noise * -255"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise_img = img + black_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-255.,    0.,    0., ...,    0., -255., -255.],\n",
       "       [-255.,    0.,    0., ...,    0.,    0.,    0.],\n",
       "       [   0., -255.,    0., ...,    0., -255., -255.],\n",
       "       ...,\n",
       "       [   0., -255.,    0., ..., -255., -255., -255.],\n",
       "       [   0.,    0.,    0., ..., -255., -255., -255.],\n",
       "       [   0.,    0.,    0., ...,    0., -255., -255.]])"
      ]
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "black_noise_img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise_img[black_noise_img==-255] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(black_noise_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [],
   "source": [
    "closing = cv2.morphologyEx(black_noise_img, cv2.MORPH_CLOSE, kernel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(closing)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Morphological Gradient\n",
    "\n",
    "Difference between dilation and erosion of an image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "metadata": {},
   "outputs": [],
   "source": [
    "gradient = cv2.morphologyEx(img,cv2.MORPH_GRADIENT,kernel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(gradient)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Great work!"
   ]
  }
 ],
 "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}