I assume that now we know how to find edges in a given image
u. It's simple, just take the derivative!
Today, I want to find the smooth regions. Well, it's kind of silly, as now that we have edges, the rest of the image is kind of
edgeless. Right... but I would like to assign a number from 0 to 1 to it ... where 1 indicates a flat region and zero indicates an edge, in other words
I want to make the edges appear dark.
There are many ways to do it. One of the ways to do it is to look at the function $$g(x, y):=\frac{1}{\sqrt{1+|K*\nabla u(x, y)|}}.$$Where,
K is your favourite smoothing kernel. (I will leave it to you to code this as an exercise. It is a four liner.)
Staring at this function
is a refreshing activity, something that I love to do in my spare time.
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| Boo in the edge of darkness |
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| Lenna in the edge of darkness |
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| Barbara in the edge of darkness |
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