November 2018
Intermediate to advanced
492 pages
12h 19m
English
It has been shown by Rosenfeld and Kak that the simplest isotropic derivative operator is the Laplacian, which is defined as shown in the following diagram. The Laplacian approximates the second derivative of an image and detects edges. It is an isotropic (rotationally invariant) operator and the zero-crossings mark edge location; we shall discuss more about that later in the chapter. In other words, in locations where we have spikes/peaks (or valleys) in the first-order derivative(s) of an input image, we have zero-crossings in the corresponding locations of the second-order derivative(s) of the input image:

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