{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercises 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 1\n", "\n", "- Import Numpy, matplotlib.pyplot and skimage.data\n", "- From the data module import the moon picture\n", "- Plot that image\n", "- Check the image dimensions\n", "- Calculate the image mean, max and min\n", "- Create a mask of pixels with values above half of the max\n", "- Create a cropped version of the image containing the crater on the top left\n", "- Crop the mask as well\n", "- Plot the cropped mask on top of the cropped image using transparency and the colormaps you want.\n", "- Create a list of the pixels and count them\n", "\n", "## Part 2\n", "\n", "- Find how to generate normally distributed numbers (within numpy.random module)\n", "- Create a matrix of the same size as the cropped images with normally distributed values\n", "- Plot it\n", "- Add the random matrix to the cropped image, and plot it.\n", "- Adjust the noise level by multiplying the random matrix with different factors (1, 10, 100). Plot the result\n", "- From skimage.data load the rocket image\n", "- Check its size\n", "- Crop the rocket image to the same size as the moon image\n", "- Replace the first channel of the cropped rocket image, with the image of the cropped moon\n", "- Plot the result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Solutions 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 1" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import skimage.data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#load moon image\n", "image = skimage.data.moon()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(image, cmap = 'gray')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(512, 512)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#get shape of image\n", "image.shape" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "#get infos about image values" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "112.16957092285156" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(image)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "112.16957092285156" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image.mean()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "255" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image.max()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image.min()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "maxval = image.max()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "#create a mask of pixels higher than 0.5*(max value)\n", "mask = image>0.5*maxval" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(mask)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "#crop an image region\n", "image_crop = image[50:150,50:150]\n", "mask_crop = mask[50:150,50:150]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#superpose image and mask\n", "plt.imshow(image_crop,cmap = 'gray')\n", "plt.imshow(mask_crop,cmap = 'Reds', alpha = 0.5)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "#get only positive mask pixels\n", "pixels = image_crop[mask_crop]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1072" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(pixels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 2" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mDocstring:\u001b[0m\n", "standard_normal(size=None)\n", "\n", "Draw samples from a standard Normal distribution (mean=0, stdev=1).\n", "\n", "Parameters\n", "----------\n", "size : int or tuple of ints, optional\n", " Output shape. If the given shape is, e.g., ``(m, n, k)``, then\n", " ``m * n * k`` samples are drawn. Default is None, in which case a\n", " single value is returned.\n", "\n", "Returns\n", "-------\n", "out : float or ndarray\n", " A floating-point array of shape ``size`` of drawn samples, or a\n", " single sample if ``size`` was not specified.\n", "\n", "Notes\n", "-----\n", "For random samples from :math:`N(\\mu, \\sigma^2)`, use one of::\n", "\n", " mu + sigma * np.random.standard_normal(size=...)\n", " np.random.normal(mu, sigma, size=...)\n", "\n", "See Also\n", "--------\n", "normal :\n", " Equivalent function with additional ``loc`` and ``scale`` arguments\n", " for setting the mean and standard deviation.\n", "\n", "Examples\n", "--------\n", ">>> np.random.standard_normal()\n", "2.1923875335537315 #random\n", "\n", ">>> s = np.random.standard_normal(8000)\n", ">>> s\n", "array([ 0.6888893 , 0.78096262, -0.89086505, ..., 0.49876311, # random\n", " -0.38672696, -0.4685006 ]) # random\n", ">>> s.shape\n", "(8000,)\n", ">>> s = np.random.standard_normal(size=(3, 4, 2))\n", ">>> s.shape\n", "(3, 4, 2)\n", "\n", "Two-by-four array of samples from :math:`N(3, 6.25)`:\n", "\n", ">>> 3 + 2.5 * np.random.standard_normal(size=(2, 4))\n", "array([[-4.49401501, 4.00950034, -1.81814867, 7.29718677], # random\n", " [ 0.39924804, 4.68456316, 4.99394529, 4.84057254]]) # random\n", "\u001b[0;31mType:\u001b[0m builtin_function_or_method\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#find the function to generate normally distributed samples (Google is your best friend)\n", "np.random.standard_normal?" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_crop.shape[1]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "#generate a matrix of the right size\n", "normal_matrix = np.random.standard_normal((image_crop.shape[0], image_crop.shape[1]))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(normal_matrix)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im1 = image_crop +100* normal_matrix\n", "\n", "plt.imshow(im1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im1 = image_crop + 10*normal_matrix\n", "\n", "plt.imshow(im1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "rocket = skimage.data.rocket()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(427, 640, 3)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rocket.shape" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "rocket_cropped = rocket[50:150,50:150,:]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(100, 100, 3)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rocket_cropped.shape" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "rocket_cropped[:,:,0] = image_crop" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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