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68  <div class="section" id="basics">
69<h1>Basics</h1>
70<p>Here are basic concepts that might help to understand documentation
71written in this folder:</p>
72<div class="section" id="convolution">
73<h2>Convolution</h2>
74<p>The simplest way to look at this is &#8220;tweaking the input so that it would
75look like the shape provided&#8221;. What exact tweaking is applied depends on
76the kernel.</p>
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79<div class="section" id="filters-kernels-weights">
80<h2>Filters, kernels, weights</h2>
81<p>Those three words usually mean the same thing, unless context is clear
82about a different usage. Simply put, they are matrices, that are used to
83achieve certain effects on the image. Lets consider a simple one, 3 by 3
84Scharr filter</p>
85<p><code class="docutils literal"><span class="pre">ScharrX</span> <span class="pre">=</span> <span class="pre">[1,0,-1][1,0,-1][1,0,-1]</span></code></p>
86<p>The filter above, when convolved with a single channel image
87(intensity/luminance strength), will produce a gradient in X
88(horizontal) direction. There is filtering that cannot be done with a
89kernel though, and one good example is median filter (mean is the
90arithmetic mean, whereas median will be the center element of a sorted
91array).</p>
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94<div class="section" id="derivatives">
95<h2>Derivatives</h2>
96<p>A derivative of an image is a gradient in one of two directions: x
97(horizontal) and y (vertical). To compute a derivative, one can use
98Scharr, Sobel and other gradient filters.</p>
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101<div class="section" id="curvature">
102<h2>Curvature</h2>
103<p>The word, when used alone, will mean the curvature that would be
104generated if values of an image would be plotted in 3D graph. X and Z
105axises (which form horizontal plane) will correspond to X and Y indices
106of an image, and Y axis will correspond to value at that pixel. By
107little stretch of an imagination, filters (another names are kernels,
108weights) could be considered an image (or any 2D matrix). A mean filter
109would draw a flat plane, whereas Gaussian filter would draw a hill that
110gets sharper depending on it&#8217;s sigma value.</p>
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