{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MatPlotLib (for plotting figures and images)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "import numpy as np \n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting images (2 D volumes)\n", "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.imshow.html" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "vy,vx = np.mgrid[:128,:128]" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(vy)\n", "plt.show() # this is only important in this jupyter environment" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dist = ((vy-64)**2+(vx-64)**2)**0.5\n", "plt.imshow(dist,'gray')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Real images are 3-dimensional matrices, the third dimension are the red, green, blue (and sometimes alpha) - channel " ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "colorsteps = np.linspace(0,1,128)\n", "image = np.zeros((128,128,4))\n", "image[:,:,0],image[:,:,1] = np.meshgrid(colorsteps,colorsteps)\n", "image[:,:,2] = np.full((128,128),0.5)\n", "image[:,:,3] = np.ones((128,128))" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(image)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Subplot-function: subplot(nrows,ncols,index)\n", "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.subplot.html" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "titles = ['Red','Green','Blue','Alpha']\n", "for i in range(4):\n", " plt.subplot(1,4,i+1)\n", " plt.imshow(image[:,:,i],'gray',vmin=0, vmax=1)\n", " plt.title(titles[i])\n", " plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interpolation: \n", "https://matplotlib.org/gallery/images_contours_and_fields/interpolation_methods.html" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPgAAAD8CAYAAABaQGkdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvqOYd8AAADHlJREFUeJzt3V9sl/XZx/HPhxYsFAkQDQlUJtO5DZY8OuvSjYQD3cH+IMRkBy4Rs8WEAx+Gw0V0TzSLHnjiOjfjMkLciMl0HjASJzHb1LGDxQSpaLIhLDFsT+kQRw2OQYKMcD0H7ZMwB/3d0O/Xu73yfiUmtN5eXmn69v79uX+3jggByGlG2wsAqIfAgcQIHEiMwIHECBxIjMCBxAgcSIzAgcQIHEisu8bQnp6emDt3bvG5s2bNKj6z1tzu7io/Wh07dqzK3N7e3ipzDx06VGXuokWLis8cHR0tPlOS5s+fX3zmiRMndOrUKXc6rspv4dy5c7VmzZric/v6+orPlKSlS5cWn7lw4cLiMyVpx44dVeYODAxUmbtp06Yqc9etW1d85rZt24rPlKTVq1cXn7lz585Gx/EQHUiMwIHECBxIjMCBxAgcSIzAgcQaBW77S7b/bPtt2w/UXgpAGR0Dt90l6ceSvixpuaSv215eezEAk9fkDP45SW9HxMGIOC3pOUlr664FoIQmgS+RdO71hiPj3/s3ttfbHrI9dOrUqVL7AZiEJoGf73rX/7gVa0RsjYj+iOjv6emZ/GYAJq1J4COSrjrn6z5Jh+usA6CkJoHvkfQJ28tsz5J0u6Rf1V0LQAkdP00WEWdsb5D0G0ldkn4WEfuqbwZg0hp9XDQiXpT0YuVdABTGlWxAYgQOJEbgQGIEDiRG4EBiVW66OGPGDNW4mu22224rPlOSDhw4UHzm4cN1rgUaHBysMvfdd9+tMre/v7/K3OXLy3/eadmyZcVnStLp06eLz4z4j4tJz4szOJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQWJW7qs6cOVN9fX3F5955553FZ0rS/Pnzi888ePBg8ZmS9OCDD1aZ++ijj1aZW+OOopL0xBNPFJ954sSJ4jMl6fLLLy8+c8aMZudmzuBAYgQOJEbgQGIEDiRG4EBiBA4k1jFw21fZ3mV7v+19tu/5KBYDMHlN3gc/I+k7EbHX9uWSXrf9UkS8VXk3AJPU8QweEe9ExN7xP/9T0n5JS2ovBmDyLuo5uO2rJd0gaXeNZQCU1Thw23Ml/VLStyPi+Hn+/nrbQ7aHTp48WXJHAJeoUeC2Z2os7mciYsf5jomIrRHRHxH9vb29JXcEcImavIpuST+VtD8iflB/JQClNDmDr5S0TtLNtt8c/+srlfcCUEDHt8ki4g+S/BHsAqAwrmQDEiNwIDECBxIjcCAxAgcSq3LTxSuuuEJ33XVX8blnzpwpPlNqfgO7i/H8888XnylJCxYsqDL3gw8+qDJ38+bNVeZu2bKl+MwXXnih+ExJ2rNnT/GZr7zySqPjOIMDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4lVuavqyZMntXv37uJzFy9eXHymJA0MDBSfOTg4WHymJF1zzTVV5t57771V5m7YsKHK3F27dhWf+eSTTxafKUmPP/548ZkjIyONjuMMDiRG4EBiBA4kRuBAYgQOJEbgQGIEDiTWOHDbXbbfsL2z5kIAyrmYM/g9kvbXWgRAeY0Ct90n6auSnqq7DoCSmp7Bfyhps6SzFzrA9nrbQ7aHjh8/XmQ5AJPTMXDbqyX9PSJen+i4iNgaEf0R0T9v3rxiCwK4dE3O4CslrbH9V0nPSbrZ9s+rbgWgiI6BR8R3I6IvIq6WdLuk30XEHdU3AzBpvA8OJHZRnwePiN9L+n2VTQAUxxkcSIzAgcQIHEiMwIHECBxIrMpdVc+ePasal6vedNNNxWdK0vvvv1985ksvvVR8piQNDw9XmfvQQw9Vmbt27doqc5cuXVp85uHDh4vPlKRFixYVnxkRjY7jDA4kRuBAYgQOJEbgQGIEDiRG4EBiBA4kRuBAYgQOJEbgQGIEDiRG4EBiBA4kRuBAYgQOJEbgQGIEDiRG4EBiBA4kRuBAYgQOJFblrqqzZ8/W9ddfX3zuwoULi8+UpFtvvbX4zMcee6z4TEl69tlnq8zdtWtXlbmjo6NV5m7cuLH4zBUrVhSfKUlHjhwpPvPhhx9udBxncCAxAgcSI3AgMQIHEiNwIDECBxJrFLjt+ba32z5ge7/tz9deDMDkNX0f/EeSfh0RX7M9S9KcijsBKKRj4LbnSVol6RuSFBGnJZ2uuxaAEpo8RP+4pKOSttl+w/ZTtnsr7wWggCaBd0v6rKSfRMQNkk5KeuDDB9leb3vI9tCxY8cKrwngUjQJfETSSETsHv96u8aC/zcRsTUi+iOif8GCBSV3BHCJOgYeEUckHbL9yfFv3SLprapbASii6avo35L0zPgr6AclfbPeSgBKaRR4RLwpqb/yLgAK40o2IDECBxIjcCAxAgcSI3AgMQIHEqtyV1XbmjVrVvG5Ne6kKUkrV64sPvOyyy4rPlOStmzZUmVuV1dXlbm1fg417lpb6xLrwcHB4jPPnj3b6DjO4EBiBA4kRuBAYgQOJEbgQGIEDiRG4EBiBA4kRuBAYgQOJEbgQGIEDiRG4EBiBA4kRuBAYgQOJEbgQGIEDiRG4EBiBA4kVuWmiz09PbruuuuKz7322muLz5SkRx55pPjM++67r/hMSRodHa0y99SpU1XmPv3001Xmrlq1qvjMTZs2FZ8pSd3d5TPr7e1tdBxncCAxAgcSI3AgMQIHEiNwIDECBxIjcCCxRoHb3mR7n+0/2f6F7Z7aiwGYvI6B214iaaOk/oj4jKQuSbfXXgzA5DV9iN4tabbtbklzJB2utxKAUjoGHhF/k/R9ScOS3pH0j4j47YePs73e9pDtoaNHj5bfFMBFa/IQfYGktZKWSVosqdf2HR8+LiK2RkR/RPRfeeWV5TcFcNGaPET/oqS/RMTRiPiXpB2SvlB3LQAlNAl8WNKA7Tm2LekWSfvrrgWghCbPwXdL2i5pr6Q/jv8zWyvvBaCARh9UjYjvSfpe5V0AFMaVbEBiBA4kRuBAYgQOJEbgQGJV7qo6PDysu+++u/jcG2+8sfhMSXrvvfeKz3z11VeLz5SkFStWVJlba9+enjofPLz//vuLz3z55ZeLz5Sk1157rfjMI0eONDqOMziQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kBiBA4kROJAYgQOJETiQGIEDiRE4kJgjovxQ+6ik/21w6BWSRosvUM902nc67SpNr32nwq4fi4grOx1UJfCmbA9FRH9rC1yk6bTvdNpVml77TqddeYgOJEbgQGJtB7615X//xZpO+06nXaXpte+02bXV5+AA6mr7DA6gotYCt/0l23+2/bbtB9raoxPbV9neZXu/7X2272l7pyZsd9l+w/bOtneZiO35trfbPjD+M/582ztNxPam8d+DP9n+he06/3fFQloJ3HaXpB9L+rKk5ZK+bnt5G7s0cEbSdyLi05IGJP33FN71XPdI2t/2Eg38SNKvI+JTkv5LU3hn20skbZTUHxGfkdQl6fZ2t5pYW2fwz0l6OyIORsRpSc9JWtvSLhOKiHciYu/4n/+psV/AJe1uNTHbfZK+KumptneZiO15klZJ+qkkRcTpiHi/3a066pY023a3pDmSDre8z4TaCnyJpEPnfD2iKR6NJNm+WtINkna3u0lHP5S0WdLZthfp4OOSjkraNv504inbvW0vdSER8TdJ35c0LOkdSf+IiN+2u9XE2grc5/nelH453/ZcSb+U9O2ION72Phdie7Wkv0fE623v0kC3pM9K+klE3CDppKSp/HrMAo090lwmabGkXtt3tLvVxNoKfETSVed83acp/FDH9kyNxf1MROxoe58OVkpaY/uvGnvqc7Ptn7e70gWNSBqJiP9/RLRdY8FPVV+U9JeIOBoR/5K0Q9IXWt5pQm0FvkfSJ2wvsz1LYy9U/KqlXSZk2xp7jrg/In7Q9j6dRMR3I6IvIq7W2M/1dxExJc8yEXFE0iHbnxz/1i2S3mpxpU6GJQ3YnjP+e3GLpvCLgtLYQ6SPXEScsb1B0m809krkzyJiXxu7NLBS0jpJf7T95vj3/iciXmxxp0y+JemZ8f/QH5T0zZb3uaCI2G17u6S9Gnt35Q1N8avauJINSIwr2YDECBxIjMCBxAgcSIzAgcQIHEiMwIHECBxI7P8ATiC2PwLf4OYAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# create a random grayscale image (10x10 pixels)\n", "n = 10\n", "image = np.random.random((n,n))\n", "\n", "#test 1:\n", "plt.figure(0)\n", "plt.imshow(image,'gray')\n", "plt.show()\n", "\n", "#test 2:\n", "plt.figure(1)\n", "plt.imshow(image,interpolation='bilinear',cmap='gray')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1-dimensional plots: plot(x)\n", "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.plot.html" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0,np.pi*5)\n", "y = np.sin(x)\n", "plt.plot(y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "add x-axis and labels" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x,y)\n", "\n", "plt.xlabel('x')\n", "plt.ylabel('sine of x')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "overlay 2 plots:" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "plt.plot(x,y1,'red')\n", "plt.plot(x,y2,'blue',linestyle=':')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "step-functions" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0,np.pi*5,100)\n", "y = np.sin(x)\n", "\n", "plt.figure(0)\n", "ax = plt.plot(x,y,drawstyle='steps-mid')\n", "plt.fill(x, y, 'r', alpha=0.4)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D surface plots (X,Y -> Z):\n", "more examples are here: https://matplotlib.org/mpl_toolkits/mplot3d/tutorial.html" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "# here we imported only the function or subpackage \"Axes3D\" from the package \"mplot3d\" " ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# define X and Y values:\n", "X = np.arange(-5, 5, 0.25)\n", "Y = np.arange(-5, 5, 0.25)\n", "# x.shape = y.shape = (15,)\n", "\n", "# define some surface with shape (15,15) \n", "X, Y = np.meshgrid(X, Y)\n", "R = np.sqrt(X**2+Y**2)\n", "Z = np.sin(R)\n", "\n", "# here comes the code for the plot: \n", "ax = plt.figure().gca(projection='3d')\n", "ax.plot_surface(X,Y,Z,cmap='jet')\n", "\n", "# labels (z-label can only be accessed via ax-object):\n", "ax.set_zlabel('Sine of Euclidean distance')\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# ImageIO package: read and write images \n", "http://imageio.readthedocs.io/en/latest/standardimages.html" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "import imageio\n", "# do not use aliases, \n", "# if the package is only used a few times in the code or \n", "# if the name is small enough (here only to open and to store an image)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we are working in float numbers [0,1] in image processing." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(300, 451, 3) uint8\n", "(300, 451, 3) float64\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#load an image from the repository (so we can compare our programs in the class)\n", "im = imageio.imread('imageio:chelsea.png')\n", "print(im.shape,im.dtype)\n", "\n", "# we are working in float numbers [0,1] in image processing:\n", "im = np.clip(im /255.,0.,1.)\n", "print(im.shape,im.dtype)\n", "\n", "plt.imshow(im)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example gray-scale image (camera man),\n", "Pay attention to change the colormap to 'gray' when plotting it ! " ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(512, 512) float64\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im = np.clip(imageio.imread('imageio:camera.png')/255.,0.,1.)\n", "print(im.shape,im.dtype)\n", "plt.imshow(im,'gray')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Use own images from local folder" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(128, 128, 4) float64\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im = np.clip(imageio.imread('lena128C.png')/255.,0.,1.)\n", "print(im.shape,im.dtype)\n", "plt.imshow(im)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## make some fool processing and store image" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im = np.clip(imageio.imread('lena128C.png')/255.,0,1)\n", "\n", "# do stuff, for instance map red channels\n", "im = im[:,:,[0,0,0,3]]\n", "plt.imshow(im)\n", "plt.show()\n", "\n", "# to store we generally have to transform the images back to integer\n", "imageio.imwrite('myImage.png',np.clip(im*255,0,255).astype(np.uint8))" ] }, { "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }