{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lecture 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "-Introduction: [>>](#Introduction) \n", "-Numerical solution of equations: [>>](#Numerical-solution-of-equations) \n", "--Graphical approach: [>>](#Graphical-approach) \n", "--Solving equation using Numpy: [>>](#Solving-equation-using-Numpy) \n", "-Image analysis with Numpy: [>>](#Image-analysis-with-Numpy) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "Computer programs written in languages like Fortran, C and Java are compiled before they are run. This means the original source code is converted into an executable file. The program is actually run in a separate step, using the executable file. In contrast, Python code is interpreted statement by statement at the time that the program is run. The two approaches have their advantages and disadvantages. The advantage of the separate compilation step is that, as the entire program is compiled in one go, it can be optimised to ensure that it uses the computer's memory and processors as efficiently as possible. The disadvantage is that the development process takes more time. If you change anything, you have to compile the entire program again before you can run it and test it. This is one of the reasons that developing programs using Python is usually considerably quicker than working in C, Fortran or Java. The downside is that Python programs are usually slower. For many applications, this isn't a problem, but in some scientific analyses, for example involving large datasets, it can cause difficulties. This is where Numpy can be very useful. It allows programs to be written using Python, but the underlying Numpy code has been written in C and compiled, allowing execution at high speed. Learning to use Numpy effectively is therefore a useful skill for scientific programmers.\n", "\n", "This week we will look at an example of how Numpy arrays can be used to solve equations numerically, and then illustrate how the same technique can be used to do some image processing. The idea is not so much that the techniques used here are the best there are for solving equations or edge-finding in images, but that they show how Numpy functions can often be used as alternatives to Python control structures in scientific programming. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numerical solution of equations\n", "\n", "### Graphical approach\n", "\n", "Suppose we have a function $y(x)$ and we want to know the values of $x$ where it crosses a threshold value $T$, i.e. we want to solve the equation $y(x) = T$. We could do this using a graph:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "#\n", "def gaussFunc(mu, sigma, x):\n", " g = 1/(np.sqrt(2*np.pi)*sigma)*np.exp(-(x - mu)**2/(2*sigma**2))\n", " return g\n", "#\n", "mu = 6.0\n", "sigma = 2.0\n", "#\n", "thresh = 0.1\n", "#\n", "xMin = 0.0\n", "xMax = 12.0\n", "nPoints = 12\n", "xArr = np.linspace(xMin, xMax, nPoints)\n", "#\n", "yArr = gaussFunc(mu, sigma, xArr)\n", "#\n", "plt.figure(figsize = (6, 4))\n", "plt.title(\"Function\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.plot(xArr, yArr, color = 'b', linestyle = '-')\n", "plt.plot(xArr, thresh*np.ones(nPoints), color = 'r', linestyle = '--')\n", "plt.grid(color = 'g')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solutions of the equation $y(x) = T$ are where the curve crosses the line, i.e. at about $y = 3.5$ and about $y = 8.5$. Better precision can be obtained by increasing the number of points at which the function is evaluated and plotted." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solving equation using Numpy\n", "As an alternative to the graphical solution, we could also manipulate the Numpy array that contains the values of the function in the following way.\n", "\n", "The first step is to make a logical (or boolean) array that is `True` where the function is above the threshold `thresh` and `False` otherwise. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LyArr\n", " [False False False False True True True True False False False False]\n" ] } ], "source": [ "LyArr = yArr > thresh\n", "print(\"LyArr\\n\",LyArr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We then make another version of the logical array in which all the elements are shifted to the left (along the $x$ axis)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LyArr\n", " [False False False False True True True True False False False False]\n", "LyArrXL\n", " [False False False True True True True False False False False False]\n" ] } ], "source": [ "LyArrXL = np.zeros(nPoints).astype(bool)\n", "shiftX = 1\n", "LyArrXL[0:nPoints - shiftX] = LyArr[shiftX:nPoints]\n", "print(\"LyArr\\n\",LyArr)\n", "print(\"LyArrXL\\n\",LyArrXL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Now we take the logical `not` of the first array. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LyArr\n", " [False False False False True True True True False False False False]\n", "LyArrNot\n", " [ True True True True False False False False True True True True]\n" ] } ], "source": [ "LyArrNot = np.logical_not(LyArr)\n", "print(\"LyArr\\n\",LyArr)\n", "print(\"LyArrNot\\n\",LyArrNot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Taking the logical `and` of `LyArrXL` and `LyArrNot`, we can determine the left-hand position in the array which corresponds to the place where the function crosses the threshold, as below." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LyArrXL\n", " [False False False True True True True False False False False False]\n", "LyArrNot\n", " [ True True True True False False False False True True True True]\n", "boolThrL\n", " [False False False True False False False False False False False False]\n" ] } ], "source": [ "boolThrL = np.logical_and(LyArrNot, LyArrXL)\n", "print(\"LyArrXL\\n\",LyArrXL)\n", "print(\"LyArrNot\\n\",LyArrNot)\n", "print(\"boolThrL\\n\",boolThrL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This process is illustrated below:\n", "\n", "![](Lect10-Left-Edge.png \"Finding left-hand solution\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We can now get the left-hand $x$ value at which the function crosses the threshold using a further feature of Numpy arrays: if we use a set of logical values as the indices of an array, the values that are returned are those with index `True`. This is shown below." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "xThrL [3.27]\n" ] } ], "source": [ "xThrL = xArr[boolThrL]\n", "np.set_printoptions(precision = 2)\n", "print(\"xThrL\",xThrL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in the case of the graphical solution, the precision is determined by the size of the arrays (i.e. `nPoints`).\n", "\n", "One way of finding the right-hand $x$ value at which the function crosses the threshold is to repeat the above, but shifting the elements of the logical array to the right instead of the left:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LyArr\n", " [False False False False True True True True False False False False]\n", "LyArrXR\n", " [False False False False False True True True True False False False]\n", "LyArrNot\n", " [ True True True True False False False False True True True True]\n", "boolThrR\n", " [False False False False False False False False True False False False]\n", "xThrR [8.73]\n" ] } ], "source": [ "LyArrXR = np.zeros(nPoints).astype(bool)\n", "LyArrXR[shiftX:nPoints] = LyArr[0:nPoints - shiftX]\n", "print(\"LyArr\\n\",LyArr)\n", "print(\"LyArrXR\\n\",LyArrXR)\n", "print(\"LyArrNot\\n\",LyArrNot)\n", "#\n", "boolThrR = np.logical_and(LyArrNot, LyArrXR)\n", "print(\"boolThrR\\n\",boolThrR)\n", "#\n", "xThrR = xArr[boolThrR]\n", "print(\"xThrR\",xThrR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we can make a picture of this process:\n", "\n", "![](Lect10-Right-Edge.png \"Finding right-hand solution\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the positions of these two solutions:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (6, 4))\n", "plt.title(\"Function\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.plot(xArr, yArr, color = 'b', linestyle = '-')\n", "plt.plot(xArr, thresh*np.ones(nPoints), color = 'r', linestyle = '--')\n", "plt.plot(xThrL, np.zeros(len(xThrL)), color = 'r', linestyle = '', marker = '^')\n", "plt.plot(xThrR, np.zeros(len(xThrR)), color = 'r', linestyle = '', marker = '^')\n", "plt.grid(color = 'g')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Repeating the above with larger arrays gives improved precision." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "Left-hand solution [3.63], right-hand solution [8.37].\n", " \n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#\n", "# Set x range\n", "xMin = 0.0\n", "xMax = 12.0\n", "nPoints = 120\n", "xArr = np.linspace(xMin, xMax, nPoints)\n", "#\n", "# Define curve values\n", "yArr = gaussFunc(mu, sigma, xArr)\n", "#\n", "# Find left solution\n", "LyArr = yArr > thresh\n", "LyArrXL = np.zeros(nPoints).astype(bool)\n", "shiftX = 1\n", "LyArrXL[0:nPoints - shiftX] = LyArr[shiftX:nPoints]\n", "LyArrNot = np.logical_not(LyArr)\n", "boolThrL = np.logical_and(LyArrNot, LyArrXL)\n", "xThrL = xArr[boolThrL]\n", "#\n", "# Find right solution\n", "LyArrXR = np.zeros(nPoints).astype(bool)\n", "LyArrXR[shiftX:nPoints] = LyArr[0:nPoints - shiftX]\n", "boolThrR = np.logical_and(LyArrNot, LyArrXR)\n", "xThrR = xArr[boolThrR]\n", "print(\" \")\n", "print(f\"Left-hand solution {xThrL}, right-hand solution {xThrR}.\")\n", "print(\" \")\n", "#\n", "plt.figure(figsize = (6, 4))\n", "plt.title(\"Function\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.plot(xArr, yArr, color = 'b', linestyle = '-')\n", "plt.plot(xArr, thresh*np.ones(nPoints), color = 'r', linestyle = '--')\n", "plt.plot(xThrL, np.zeros(len(xThrL)), color = 'r', linestyle = '', marker = '^')\n", "plt.plot(xThrR, np.zeros(len(xThrR)), color = 'r', linestyle = '', marker = '^')\n", "plt.grid(color = 'g')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Image analysis with Numpy\n", "\n", "Numpy can also be used to analyse images. The example below shows how a picture of a squirrel can be read into Numpy and then manipulated so that only pixels above a certain threshold are displayed.\n", "\n", "As an aside, if you want to manipluate images using Python, the `scipy.ndimage` package provides a large range of image analysis software; see [here](https://docs.scipy.org/doc/scipy/reference/ndimage.html) for more information!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Date and time 2021-01-06 21:08:12.359851\n", "RGB image\n", "Number of rows 994 of columns 976 of pixels 970144 and depth 3\n", "RGB min and max pixel values: 0 255\n", "Greyscale min and max pixel values: 4 247\n", " \n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " \n", "Date and time 2021-01-06 21:08:13.241657\n", "Time since last check is 0:00:00.881806\n" ] } ], "source": [ "import datetime\n", "now = datetime.datetime.now()\n", "print(\"Date and time \",str(now))\n", "#\n", "import numpy as np\n", "import scipy.ndimage as scimg\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "#\n", "def rgba2rgb(rgba, background = (255, 255, 255)):\n", " '''\n", " Function to convert RGBA images into RGB format. Input RGBA image (and background); output RGB image\n", " '''\n", " rows, cols, chans = rgba.shape\n", " #\n", " debug = False\n", " #\n", " if debug:\n", " if chans == 4:\n", " print(\"RGBA image\")\n", " elif chans == 3:\n", " print(\"RGB image\")\n", " return rgba\n", " else:\n", " print(\"Channel number is\",chans)\n", " sys.exit()\n", " else:\n", " assert chans == 4, 'RGBA image must have 4 channels.'\n", " #\n", " rgb = np.zeros((rows, cols, 3), dtype = 'float32')\n", " r, g, b, a = rgba[:,:,0], rgba[:,:,1], rgba[:,:,2], rgba[:,:,3]\n", " #\n", " a = np.asarray(a, dtype='float32')/255.0\n", " #\n", " R, G, B = background\n", " #\n", " rgb[:, :, 0] = r*a + (1.0 - a)*R\n", " rgb[:, :, 1] = g*a + (1.0 - a)*G\n", " rgb[:, :, 2] = b*a + (1.0 - a)*B\n", " #\n", " return np.asarray(rgb, dtype = np.uint8)\n", "#\n", "def rgb2grey(rgb, negative = 0):\n", " '''\n", " Convert RGB image to greyscale. Input RGB, output greyscale image.\n", " '''\n", " rows, cols, chans = rgb.shape\n", " #\n", " debug = True\n", " #\n", " if debug:\n", " if chans == 4:\n", " print(\"RGBA image\")\n", " elif chans == 3:\n", " print(\"RGB image\")\n", " elif chans == 1:\n", " print(\"Greyscale image\")\n", " return rgb\n", " else:\n", " print(\"Channel number is\",chans)\n", " sys.exit()\n", " else:\n", " assert chans == 3, 'RGB image must have 3 channels.'\n", " #\n", " grey = np.zeros((rows, cols), dtype = 'float32')\n", " #\n", " r, g, b = rgb[:,:,0], rgb[:,:,1], rgb[:,:,2]\n", " #\n", " grey[:, :] = (0.2125*(r*negative + (negative - 1.0)*r) + \n", " 0.7154*(g*negative + (negative - 1.0)*g) + \n", " 0.0721*(b*negative + (negative - 1.0)*b))\n", " #\n", " return np.asarray(grey, dtype = np.uint8)\n", "#\n", "# Read in image\n", "#imFile = \"Telescope.bmp\"\n", "#imFile = \"Shark.jpg\"\n", "imFile = \"Squirrel.jpg\"\n", "#imFile = \"Irradiated01.bmp\"\n", "#\n", "imgRaw = plt.imread(imFile)\n", "nRows = imgRaw.shape[0] # row corresponds to pixel's y coordinate\n", "nCols = imgRaw.shape[1] # col corresponds to pixel's x ccordinate\n", "nDepth = imgRaw.shape[2] # depth == 3 for red, blue green (RBG), == 4 for RBGA (A is alpha, i.e. transparency) \n", "img = np.zeros((nRows, nCols))\n", "#\n", "if nDepth == 4:\n", " imgRGB = rgba2rgb(imgRaw)\n", " img = rgb2grey(imgRGB)\n", "elif nDepth == 3:\n", " imgRGB = imgRaw\n", " img = rgb2grey(imgRGB)\n", "elif nDepth == 1:\n", " imgRGB = imgRaw\n", " img = imgRaw\n", "else:\n", " print(\" \")\n", " print(\"Unexpected image depth\",nDepth)\n", " sys.stop()\n", "#\n", "print(\"Number of rows\",nRows,\"of columns\",nCols,\"of pixels\",nRows*nCols,\"and depth\",nDepth)\n", "print(\"RGB min and max pixel values:\",np.amin(imgRGB), np.amax(imgRGB))\n", "print(\"Greyscale min and max pixel values:\",np.amin(img), np.amax(img))\n", "\n", "#print(\"RGB\\n\",imgRGB)\n", "#print(\"img\\n\",img)\n", "#\n", "# Set threshold for finding edges, thresh ~ 98 for shark, thresh ~ 10 for telescope, thresh ~ 110 for squirrel\n", "thresh = 110.0\n", "#thresh = 98.0\n", "imgThr = np.zeros((nRows, nCols))\n", "imgThr = img > thresh\n", "#\n", "print(\" \")\n", "fig = plt.figure(figsize=(12, 9))\n", "fig.add_subplot(2, 2, 1)\n", "plt.title(\"Picture of \" + imFile + \" raw\")\n", "plt.xlabel('Column', fontsize = 12)\n", "plt.ylabel('Row', fontsize = 12)\n", "imgplot = plt.imshow(imgRaw)\n", "#\n", "fig.add_subplot(2, 2, 2)\n", "plt.title(\"Picture of \" + imFile + \" RGB\")\n", "plt.xlabel('Column', fontsize = 12)\n", "plt.ylabel('Row', fontsize = 12)\n", "imgplot = plt.imshow(imgRGB)\n", "#\n", "fig.add_subplot(2, 2, 3)\n", "plt.title(\"Picture of \" + imFile + \" grey scale\")\n", "plt.xlabel('Column', fontsize = 12)\n", "plt.ylabel('Row', fontsize = 12)\n", "imgplot = plt.imshow(img, cmap = \"Greys\")\n", "#\n", "fig.add_subplot(2, 2, 4)\n", "plt.title(\"Picture of \" + imFile + \" grey scale above \" + str(thresh))\n", "plt.xlabel('Column', fontsize = 12)\n", "plt.ylabel('Row', fontsize = 12)\n", "imgplot = plt.imshow(imgThr, cmap = \"Greys\")\n", "#\n", "fig.tight_layout()\n", "plt.show()\n", "#\n", "then = now\n", "now = datetime.datetime.now()\n", "print(\" \")\n", "print(\"Date and time\",str(now))\n", "print(\"Time since last check is\",str(now - then))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "This \"thresholded\" image is a two-dimensional equivalent of the one-dimensional region of the gaussian which is greater that the threshold value above. We can therefore use a two-dimensional version of our \"shift left and right\" algorithm to find where the threshold is crossed, which will give us the edges of the thresholded figure. Working in 2D means we have to both shift left and right and shift up and down, as is illustrated below:\n", "\n", "![](Lect10-Left-Right-Edge.png \"Finding left and right edges\")\n", "\n", "The code to do this follows:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Date and time 2021-01-06 21:08:53.959486\n", "Min intensity in image 4 max intensity 247\n", "nRows 994 nCols 976\n", "shiftR 5 shiftC 5\n", " \n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " \n", "Date and time 2021-01-06 21:08:54.133997\n", "Time since last check is 0:00:00.174511\n" ] } ], "source": [ "# \n", "#\n", "import datetime\n", "now = datetime.datetime.now()\n", "print(\"Date and time\",str(now))\n", "#\n", "imgMin = np.amin(img)\n", "imgMax = np.amax(img)\n", "print(\"Min intensity in image\",imgMin,\"max intensity\",imgMax)\n", "#\n", "shiftR = 5\n", "shiftC = 5\n", "print(\"nRows\",nRows,\"nCols\",nCols)\n", "print(\"shiftR\",shiftR,\"shiftC\",shiftC)\n", "imgEdge = np.full((nRows, nCols), False)\n", "imgEdge[0:nRows - shiftR, 0:nCols - shiftC] = \\\n", " np.logical_or(np.logical_or(np.logical_and(imgThr[0:nRows - shiftR, 0:nCols - shiftC], \n", " np.logical_not(imgThr[0:nRows - shiftR, shiftC:nCols])), # horizontal left\n", " np.logical_and(np.logical_not(imgThr[0:nRows - shiftR, 0:nCols - shiftC]),\n", " imgThr[0:nRows - shiftR, shiftC:nCols])), # horizontal right\n", " np.logical_or(np.logical_and(np.logical_not(imgThr[0:nRows - shiftR, 0:nCols - shiftC]), \n", " imgThr[shiftR:nRows, 0:nCols - shiftC]), # vertical bottom\n", " np.logical_and(imgThr[0:nRows - shiftR, 0:nCols - shiftC], \n", " np.logical_not(imgThr[shiftR:nRows, 0:nCols - shiftC])))) # vertical top\n", "imgEdge[0:nRows, 0] = False\n", "imgEdge[0, 0:nCols] = False\n", "imgEdge[0:nRows, nCols - shiftC - 1] = False\n", "imgEdge[nRows - shiftR - 1, 0:nCols] = False\n", "#\n", "print(\" \")\n", "fig = plt.figure(figsize=(4, 8))\n", "plt.title(\"Plot of \" + imFile + \" x and y edges\", fontsize = 12)\n", "plt.xlabel('x pixel', fontsize = 12)\n", "plt.ylabel('y pixel', fontsize = 12)\n", "plt.imshow(imgEdge, cmap = \"Greys\")\n", "plt.show()\n", "#\n", "then = now\n", "now = datetime.datetime.now()\n", "print(\" \")\n", "print(\"Date and time\",str(now))\n", "print(\"Time since last check is\",str(now - then))" ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }