{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lecture 7\n", "\n", "* Slicing numpy arrays (again)\n", "* Visualizing images (again)\n", "* Histograms" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# as always:\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X = np.array([0,1,2,3])\n", "Y = X[0:2]\n", "print( \"X, Y: \", X, Y)\n", "Y[0] = 999\n", "print(\"X, Y: \", X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For numpy arrays, slicing makes a reference to that part of the array (called a 'view' onto the array in `numpy` parlance). This makes sense because if we have some huge dataset, we do not want to copy the whole dataset when we just want to look at a slice of it. If we want to slicing an array without making a reference, we can use `copy` function first." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "np.copy()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X = np.array([0,1,2,3])\n", "Y = X.copy()[0:2]\n", "print( \"X, Y: \", X, Y)\n", "Y[0] = 999\n", "print(\"X, Y: \", X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing images (again)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's read in an image: " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "# download 'gauss.jpg' from the canvas page\n", "# you may need to execute 'conda install Pillow' at the Anaconda prompt \n", "# to be able to use 'imread' on a jpg\n", "G = plt.imread(\"gauss.jpg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The image consists of 765 rows, 600 columns, and three RGB channels, i.e. there are three 765 X 600 arrays, one for each of the three colors red, green and blue: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(G)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(765, 600, 3)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use `imshow` again to visualize the image: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(G)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the image is colored. To make it grayscale, we can average out the three colors for each pixel:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# this is the same with np.apply_along_axis\n", "G_bw = np.mean(G, axis=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, this reduces the dimensionality of the array, from 3D to 2D: " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(765, 600)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G_bw.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The argument `cmap` can be: \n", "> 'Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds','YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu','GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn'\n", "\n", "or MATLAB style\n", "> 'binary', 'gist_yarg', 'gist_gray', 'gray', 'bone', 'pink',\n", " 'spring', 'summer', 'autumn', 'winter', 'cool', 'Wistia',\n", " 'hot', 'afmhot', 'gist_heat', 'copper'\n", " \n", "For more please refer to [https://matplotlib.org/tutorials/colors/colormaps.html](https://matplotlib.org/tutorials/colors/colormaps.html)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(G_bw, cmap=\"gray\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Histograms \n", "\n", "Suppose we want to see how much of each shade of gray there is in the above picture. One way to do this is to look at a histogram. \n", "\n", "First, let's look at the data:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "print(G_bw[:5,:5])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "G_bw.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But to create the histogram, we need to 'flatten' these data into a 1D array: " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(459000,)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G_bw_1D = G_bw.reshape(-1) # if you put -1, it figures out what the shape should be\n", "G_bw_1D.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Normalization\n", "Finally, we don't particularly care about the actual intensity values that the pixels assume. All we care about is how those values are distributed between the maximum and minimum intensities. \n", "\n", "We therefore choose to **normalize** the data in such a way that the min is 0, the max is 1, and everything else is in between:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.08411215 0.09612817 0.10413885 0.10413885 0.09612817 0.09212283\n", " 0.10413885 0.11615487 0.12416555 0.12016021 0.11615487 0.11615487\n", " 0.11214953 0.11615487 0.11615487 0.11615487 0.10413885 0.09212283\n", " 0.08811749 0.09612817]\n" ] } ], "source": [ "G_bw_1D = G_bw_1D - np.min(G_bw_1D)\n", "G_bw_1D = G_bw_1D / np.max(G_bw_1D)\n", "print(G_bw_1D[0:20])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we are ready to plot our histogram: " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist(G_bw_1D, bins=40, facecolor='gray', edgecolor='blue')\n", "plt.xlabel('Normalized Greyscale Intensity')\n", "plt.ylabel('# pixels in each range')\n", "plt.title(\"Histogram of the array\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## In-class exercise: different normalization for different channels\n", "\n", "In the histogram above, we normalized the data using its max and min values. Instead we can use **$L^2$-normalization**.\n", "

\n", "For any vector $\\mathbf{v} = (v_1,\\dots,v_n)^T\\in \\mathbb{R}^n$ we normalize this vector by $\\mathbf{v}/\\|\\mathbf{v}\\|_2$:\n", "$$ \\widetilde{\\mathbf{v}} = \\frac{1}{\\sqrt{\\sum_{i=1}^n v_i^2 }} \\begin{pmatrix} v_1 \\\\\n", "v_2 \\\\ \\vdots \\\\ v_n\\end{pmatrix}$$\n", "It can be verified that \n", "$$\\left\\|\\widetilde{\\mathbf{v}} \\right\\| = 1, \\quad \\text{ and }\\quad 0\\leq \\tilde{v}_i \\leq 1.$$\n", "Instead of using the `apply_along_axis` or `mean` along certain axis to suppress the image to greyscale, let us consider the red channel first.\n", "\n", "Tool to use: either implement the norm computation by hand, or you can use the [`norm` function](https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.norm.html) in the `numpy.linalg` submodule." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "G_rd = G[:,:,0]\n", "G_rd.shape" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "plt.imshow(G_rd, cmap=\"Reds\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "G_rd_1D = G_rd.reshape(-1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# to compute G_rd_1D's L2 norm\n", "import numpy.linalg as LA\n", "# G_rd_1D = ???" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "plt.hist(G_rd_1D, bins=40, facecolor='red', edgecolor='black')\n", "plt.xlabel('Normalized Red Intensity')\n", "plt.ylabel('# pixels in each range')\n", "plt.title(\"Histogram of the red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Try $L^2$ normalization for green and blue channels\n", "Some starter codes are as follows.\n", "```python\n", "G_green = G[:,:,1] # green channel\n", "G_blue = G[:,:,2] # blue channel\n", "\n", "# use the corresponding color to show the green and blue channels\n", "plt.imshow(G_green, cmap=\"Greens\")\n", "plt.imshow(G_blue, cmap=\"Blues\")\n", "```" ] } ], "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": "3.7.2" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }