{ "cells": [ { "cell_type": "markdown", "metadata": { "toc-hr-collapsed": false }, "source": [ "# 2. Numpy with images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All images can be seen as matrices where each element represents the value of one pixel. Multiple images (or matrices) can be stacked together into a \"multi-dimensional matrix\" or tensor. The different dimensions and the pixel values can have very different meanings depending on the type of image considered (e.g. time-lapse, volume, etc.), but the structure remains the same.\n", "\n", "Python does not allow by default to gracefully handle such multi-dimensional data. In particular it is not designed to handle matrix operations. [Numpy](https://numpy.org/) was developed to fill this blank and offers a clean way to handle creation and operations on such data called here **```arrays```**. Numpy is underlying a large number of packages and has become absolutely essential to Python scientific programming. In particular it underlies the functions of [scikit-image](https://scikit-image.org/), the main package used in this course for image processing. Scikit-image is then itself an important basis of other \"higher-level\" software like [CellProfiler](https://cellprofiler.org/). So Numpy really sits at the basis of the Python scientific world, and it is thus essential to have an understanding of it.\n", "\n", "Instead of introducing Numpy in an abstract way, we are going here to present it through the lens of image processing in order to focus on the most useful features in the context of this course. For the moment, let's just import Numpy:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also import scikit-image and matplotlib. You will learn more on these packages in later chapters. At the moment we just want to be able to load and display a an image (i.e. a matrix) to understand Numpy." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import skimage.io\n", "import skimage\n", "import matplotlib.pyplot as plt\n", "plt.gray();" ] }, { "cell_type": "markdown", "metadata": { "toc-hr-collapsed": false }, "source": [ "## 2.1 Exploring an image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by importing an image using scikit-image (see the next notebook [03-Image_import](03-Image_import.ipynb) for details). We have some data already available in the Data folder:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "image = skimage.io.imread('../Data/neuron.tif')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1.1 Image size" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we can do with the image is simply look at the output:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[32, 31, 31, ..., 18, 20, 22],\n", " [27, 24, 25, ..., 24, 24, 23],\n", " [26, 25, 25, ..., 17, 19, 20],\n", " ...,\n", " [25, 23, 24, ..., 19, 23, 23],\n", " [25, 25, 25, ..., 19, 18, 19],\n", " [26, 21, 23, ..., 19, 18, 22]], dtype=uint8)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that Numpy tells us we have an array and we don't have a simple list of pixels, but a sort of *list of lists* representing the fact that we are dealing with a two-dimensional object. Each list represents one row of pixels. Jupyter smartly only shows us the first/last rows/columns. As mentioned before, the array is the fundamental data container implemented by Numpy, and **ALL** the images we are going to process in this course will be Numpy arrays.\n", "\n", "We have seen before that all Python variables are also objects with methods and attributes. Numpy arrays are no exception. For example we can get information such as the ```shape``` of the array, i.e. number of rows, columns, planes etc." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1024, 1280)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This means that we have an image of 1024 rows and 1280 columns. We can now look at it using matplotlib (see next chapter for details) using the ```plt.imshow()``` function:" ] }, { "cell_type": "code", "execution_count": 6, "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(image);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1.2 Image type" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[32, 31, 31, ..., 18, 20, 22],\n", " [27, 24, 25, ..., 24, 24, 23],\n", " [26, 25, 25, ..., 17, 19, 20],\n", " ...,\n", " [25, 23, 24, ..., 19, 23, 23],\n", " [25, 25, 25, ..., 19, 18, 19],\n", " [26, 21, 23, ..., 19, 18, 22]], dtype=uint8)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the output above we see that we have one additional piece of information: the array has ```dtype = uint8``` , which means that the image is of type *unsigned integer 8 bit*. We can also get the type of an array by using:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dtype('uint8')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image.dtype" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Standard formats we are going to see are 8bit (uint8), 16bit (uint16) and non-integers (usually float64). The image type sets what values pixels can take. For example 8bit means values from $0$ to $2^8 -1= 256-1 = 255$. Just like for example in Fiji, one can change the type of the image. If we know we are going to do operations requiring non-integers we can turn the pixels into floats trough the ```.astype()``` method." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "image_float = image.astype(np.float64)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dtype('float64')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_float.dtype" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The importance of the image type goes slightly against Python's philosophy of dynamics typing (no need to specify a type when creating a variable), but is a necessity when handling scientific images. We are going to see now what sort of operations we can do with arrays, and the importance of *types* is going to be more obvious." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.2 Operations on arrays" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2.1 Arithmetics on arrays" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Numpy is written in a smart way such that it is able to handle operations between arrays of different sizes. In the simplest case, one can combine a scalar and an array, for example through an addition:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[42, 41, 41, ..., 28, 30, 32],\n", " [37, 34, 35, ..., 34, 34, 33],\n", " [36, 35, 35, ..., 27, 29, 30],\n", " ...,\n", " [35, 33, 34, ..., 29, 33, 33],\n", " [35, 35, 35, ..., 29, 28, 29],\n", " [36, 31, 33, ..., 29, 28, 32]], dtype=uint8)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image+10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here Numpy automatically added the scalar 10 to **each** element of the array. Beyond the scalar case, operations between arrays of different sizes are also possible through a mechanism called broadcasting. This is an advanced (and sometimes confusing) features that we won't use in this course but about which you can read for example [here](https://jakevdp.github.io/PythonDataScienceHandbook/02.05-computation-on-arrays-broadcasting.html).\n", "\n", "The only case we are going to consider here are operations between arrays of same size. For example we can multiply the image by itself. We use first the float version of the image:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "image_sq = image_float*image_float" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1024., 961., 961., ..., 324., 400., 484.],\n", " [ 729., 576., 625., ..., 576., 576., 529.],\n", " [ 676., 625., 625., ..., 289., 361., 400.],\n", " ...,\n", " [ 625., 529., 576., ..., 361., 529., 529.],\n", " [ 625., 625., 625., ..., 361., 324., 361.],\n", " [ 676., 441., 529., ..., 361., 324., 484.]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_sq" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[32., 31., 31., ..., 18., 20., 22.],\n", " [27., 24., 25., ..., 24., 24., 23.],\n", " [26., 25., 25., ..., 17., 19., 20.],\n", " ...,\n", " [25., 23., 24., ..., 19., 23., 23.],\n", " [25., 25., 25., ..., 19., 18., 19.],\n", " [26., 21., 23., ..., 19., 18., 22.]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_float" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the first row we see $32^2 = 1024$ and $31^2=961$ etc. which means that the multiplication operation has happened **pixel-wise**. Note that this is **NOT** a classical matrix multiplication. We can also see that the output has the same size as the original arrays:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1024, 1280)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_sq.shape" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1024, 1280)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_float.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see now what happens when we square the original 8bit image:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 193, 193, ..., 68, 144, 228],\n", " [217, 64, 113, ..., 64, 64, 17],\n", " [164, 113, 113, ..., 33, 105, 144],\n", " ...,\n", " [113, 17, 64, ..., 105, 17, 17],\n", " [113, 113, 113, ..., 105, 68, 105],\n", " [164, 185, 17, ..., 105, 68, 228]], dtype=uint8)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image*image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that we don't get at all the expected result. Since we multiplied two 8bit images, Numpy assumes we want an 8bit output. And therefore the values are bound between 0-255. For example the second value of the first row is just the remainder of the modulo 256:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "193" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "961%256" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same thing happens e.g. if we add an integer scalar to the matrix. We can also visualize the result:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 6 5 5 ... 248 250 252]\n", " [ 1 254 255 ... 254 254 253]\n", " [ 0 255 255 ... 247 249 250]\n", " ...\n", " [255 253 254 ... 249 253 253]\n", " [255 255 255 ... 249 248 249]\n", " [ 0 251 253 ... 249 248 252]]\n" ] } ], "source": [ "print(image+230)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "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(image+230)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly something went wrong as we get values that are smaller than 230. The image also has a strange aspect, with dark regions suddenly brighter. Again any value **over-flowing** above 255 restarts at 0.\n", "\n", "This problem can be alleviated in different ways. For example we can combine a integer array with a float scalar and Numpy will automatically give a result using the \"most complex\" type:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "image_plus_float = image+230.0" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[262. 261. 261. ... 248. 250. 252.]\n", " [257. 254. 255. ... 254. 254. 253.]\n", " [256. 255. 255. ... 247. 249. 250.]\n", " ...\n", " [255. 253. 254. ... 249. 253. 253.]\n", " [255. 255. 255. ... 249. 248. 249.]\n", " [256. 251. 253. ... 249. 248. 252.]]\n" ] } ], "source": [ "print(image_plus_float)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To be on the safe side we can also explicitely change the type when we know we might run into this kind of trouble. This can be done via the ```.astype()``` method: " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "image_float = image.astype(float)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dtype('float64')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_float.dtype" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, if we combine floats and integers the output is going to be a float: " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[262., 261., 261., ..., 248., 250., 252.],\n", " [257., 254., 255., ..., 254., 254., 253.],\n", " [256., 255., 255., ..., 247., 249., 250.],\n", " ...,\n", " [255., 253., 254., ..., 249., 253., 253.],\n", " [255., 255., 255., ..., 249., 248., 249.],\n", " [256., 251., 253., ..., 249., 248., 252.]])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_float+230" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is a very common error to use the wrong image type for a certain application. When you do series of operations, it's always a good idea to regularly look at the image itself to catch such problems that remain \"silent\" (no error message)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2.2 Logical operations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A set of important operations when processing images are logical (or boolean) operations that allow e.g. to create object masks. Those have a very simple syntax in Numpy. For example, let's compare pixel intensities to some value ```threshold```:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "threshold = 100" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False],\n", " ...,\n", " [False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image > threshold" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the result is again a pixel-wise comparison with ```threshold```, generating in the end a boolean or logical matrix. We can directly assign this logical matrix to a variable and verify its shape and type and plot it:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "image_threshold = image > threshold" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1024, 1280)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_threshold.shape" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dtype('bool')" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_threshold.dtype" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False],\n", " ...,\n", " [False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False],\n", " [False, False, False, ..., False, False, False]])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_threshold" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(image_threshold);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course other logical operator can be used (<, >, ==, !=) and the resulting boolean matrices combined:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "threshold1 = 70\n", "threshold2 = 100\n", "image_threshold1 = image > threshold1\n", "image_threshold2 = image < threshold2" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "image_AND = image_threshold1 & image_threshold2\n", "image_XOR = image_threshold1 ^ image_threshold2" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=1,ncols=4,figsize=(15,15))\n", "ax[0].imshow(image_threshold1)\n", "ax[1].imshow(image_threshold2)\n", "ax[2].imshow(image_AND)\n", "ax[3].imshow(image_XOR);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.3 Numpy functions\n", "\n", "To broadly summarize, one can say that Numpy offers four types of operations: 1. Creation of various types of arrays, 2. Pixel-wise modifications of arrays, 3. Operations changing array dimensions, 4. Combinations of arrays." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.1 Array creation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Often we are going to create new arrays that later transform them. Functions creating arrays usually take arguments specifying both the content of the array and its dimensions. \n", "\n", "Some of the most useful functions create 1D arrays of ordered values. For example to create a sequence of numbers separated by a given step size:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 2, 4, 6, 8, 10, 12, 14, 16, 18])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.arange(0,20,2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or to create an array with a given number of equidistant values:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0., 5., 10., 15., 20.])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linspace(0,20,5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In higher dimensions, the simplest example is the creation of arrays full of ones or zeros. In that case one only has to specify the dimensions. For example to create a 3x5 array of zeros:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 0.]])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.zeros((3,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Same for an array filled with ones:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.]])" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.ones((3,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Until now we have only created one-dimensional lists of 2D arrays. However Numpy is designed to work with arrays of arbitrary dimensions. For example we can easily create a three-dimensional \"ones-array\" of dimension 5x8x4:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "array3D = np.ones((2,6,5))" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.]],\n", "\n", " [[1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.],\n", " [1., 1., 1., 1., 1.]]])" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array3D" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 6, 5)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array3D.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And all operations that we have seen until now and the following ones apply to such high-dimensional arrays exactly in the same way as before:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.]],\n", "\n", " [[5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.],\n", " [5., 5., 5., 5., 5.]]])" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array3D*5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also create more complex arrays. For example an array filled with numbers drawn from a normal distribution:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.37617899, 0.34065324, -0.20734892, 0.00653959, -1.54929271],\n", " [ 0.46845058, -1.15691176, -0.3215511 , 0.99277402, 1.86068856],\n", " [ 0.2714504 , 0.56483601, -0.98386595, 1.38196427, 2.21792369]])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.standard_normal((3,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As mentioned before, some array-creating functions take additional arguments. For example we can draw samples from a gaussian distribution whose mean and variance we can specify. " ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[10.88484967, 10.6799437 ],\n", " [10.38912458, 6.1710067 ],\n", " [ 9.73997551, 9.73102914],\n", " [ 9.52557824, 14.15152695],\n", " [10.64796039, 8.54960327]])" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.normal(loc=10, scale=2, size=(5,2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.2 Pixel-wise operations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Numpy has a large trove of functions to do all common mathematical operations matrix-wise. For example you can take the cosine of all elements of your array:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.75990561, 0.51203522, 0.05670918, 0.61175222, 0.64801439])" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angles = np.random.random_sample(5)\n", "angles" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.72490104, 0.87174915, 0.99839247, 0.81864297, 0.79728389])" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.cos(angles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or to calculate exponential values:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([2.13807439, 1.66868388, 1.05834798, 1.84365907, 1.91174109])" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.exp(angles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And many many more. If you need any specific one, look for it in the docs or just Google it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2.3 Operations changing dimensions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some functions are accessible in the form of *methods*, i.e. they are called using the *dot-notation*. For example to find the maximum in an array:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.75990560685618" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angles.max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively there's also a maximum function:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.75990560685618" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.max(angles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ```max``` function like many others (min, mean, median etc.) can also be applied to a given axis. Let's imagine we have an image of dimensions 10x10x4 (e.g. 10 pixels high, 10 pixels wide and 4 planes):" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "volume = np.random.random((10,10,4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to do a maximum projection along the third axis, we can specify (remember that we start counting at 0 in Python). We expect to get a single 10x10px image out of this:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "projection = np.max(volume, axis = 2)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10, 10)" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "projection.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that we have indeed a new array with one dimension less because of the projection." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.4 Combination of arrays" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally arrays can be combined in multiple ways. For example if we want to assemble two images with the same size into a stack, we can use the ```np.stack``` function:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "image1 = np.ones((4,4))\n", "image2 = np.zeros((4,4))\n", "\n", "stack = np.stack([image1, image2],axis = 2)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4, 4, 2)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stack.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.3 Slicing and indexing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just like broadcasting, the selection of parts of arrays by slicing or indexing can become very sophisticated. We present here only the very basics to avoid confusion. There are often multiple ways to do slicing/indexing and we favor here easier to understand but sometimes less efficient solutions.\n", "\n", "Let's look at a painting (Paul Klee, \"Ãœbermut\"):" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "image = skimage.io.imread('../Data/Klee.jpg')" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(584, 756, 3)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the image has three dimensions, probably it's a stack of three images of size 643x471. Let us try to have a look at this image hoping that dimensions are handled gracefully:" ] }, { "cell_type": "code", "execution_count": 58, "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(image);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whenever an image has three planes in its third dimension like here, matplotlib assumes that it is dealing with a natural image where planes encode the colors Red, Green and Blue (RGB) and displays it accordingly." ] }, { "cell_type": "markdown", "metadata": { "toc-hr-collapsed": false }, "source": [ "### 2.3.1 Array slicing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now just look at one of the three planes composing the image. To do that, we are going the select a portion of the image array by slicing it. For each dimension we can:\n", "- give a single index e.g. ```0``` to recover the first element\n", "- give a range e.g. ```0:10``` to recover the first 10 elements\n", "- recover **all** elements using the sign ```:```\n", "\n", "In our particular case, we want to select all rows ```:``` for the first axis, all columns ```:``` for the second axis, and a single plane ```1``` for the third axis of the image:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(584, 756)" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image[:,:,1].shape" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(image[:,:,0],cmap='gray')\n", "plt.title('First plane: Red');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see now the red layer of the image, and indeed the bright regions in this gray scale image correspond with red regions. We can do the same for the others by specifying planes 0, 1, and 2:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=1, ncols=4, figsize=(10,10))\n", "ax[0].imshow(image[:,:,0],cmap='gray')\n", "ax[0].set_title('First plane: Red')\n", "ax[1].imshow(image[:,:,1],cmap='gray')\n", "ax[1].set_title('Second plane: Green')\n", "ax[2].imshow(image[:,:,2],cmap='gray')\n", "ax[2].set_title('Third plane: Blue');\n", "ax[3].imshow(image)\n", "ax[3].set_title('Complete image');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Logically intensities are high for the red channel (red, brown regions) and low for the blue channel (few blue shapes). We can confirm that by measuring the mean of each plane. To do that we use the same function as above but apply it to a single sliced plane:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "image0 = image[:,:,0]" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "144.22154499166484" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(image0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For all planes, we can either use a comprehension list to go through all planes:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[144.22154499166484, 98.94826773936363, 84.38002600202942]" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[np.mean(image[:,:,i]) for i in range(3)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or more elegantly, calculate the mean over the axis 0 and 1:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([144.22154499, 98.94826774, 84.380026 ])" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(image,axis = (0,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To look at some more details let us focus on a smaller portion of the image e.g. the head of the character. For that we are going to take a slice of the red image and store it in a new variable and display the selection. We consider pixel rows from 170 to 300 and columns from 200 to 330 of the first plane (0)." ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "image_red = image[170:300,200:330,0]\n", "plt.imshow(image_red,cmap='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are different ways to select parts of an array. For example one can select every n'th element by giving a step size. In the case of an image, this subsamples the data:" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "image_subsample = image[170:300:3,200:330:3,0]\n", "plt.imshow(image_subsample,cmap='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.2 Array indexing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to slicing an array, we can also select specific values out of it. There are [many](https://docs.scipy.org/doc/numpy-1.13.0/reference/arrays.indexing.html) different ways to achieve that, but we focus here on two main ones.\n", "\n", "First, one might have a list of pixel positions and one wishes to get the values of those pixels. By passing two lists of the same size containing the rows and columns positions of those pixels, one can recover them:" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[201 202 209 208 204]\n", " [191 197 209 212 208]\n", " [190 196 207 209 207]\n", " [197 199 204 203 201]\n", " [199 200 202 201 200]]\n" ] }, { "data": { "text/plain": [ "array([201, 197, 190, 199], dtype=uint8)" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "row_position = [0,1,2,3]\n", "col_position = [0,1,0,1]\n", "\n", "print(image_red[0:5,0:5])\n", "\n", "image_red[row_position,col_position]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, one can pass a logical array of the same dimensions as the original array, and only the ```True```\n", " pixels are selected. For example, let us create a logical array by picking values below a threshold:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "threshold_image = image_red<120" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize it. Matplotlib handles logical arrays simply as a binary image:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 70, "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(threshold_image)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can recover the value of all the \"white\" (True) pixels in the original image by **indexing one array with the other**:" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[114 111 117 ... 56 61 59]\n" ] } ], "source": [ "selected_pixels = image_red[threshold_image]\n", "print(selected_pixels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now ask how many pixels are above threshold and what their average value is." ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5054" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(selected_pixels)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "64.47328848436882" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(selected_pixels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now know that there are 5054 pixels above the threshold and that their mean is 64.5." ] } ], "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": "3.7.6" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true }, "toc-autonumbering": false, "toc-showmarkdowntxt": false }, "nbformat": 4, "nbformat_minor": 4 }