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The sharpening filter and edge detection kernel relationship?

Time:12-28

From gaussian and derivatives

Since you'd expect a ridge/peak detection filter to have a positive response to a positive ridge/peak, you'd use the negated second derivative, and add that.

Look at these pictures:

1: -1  5 -1 2: source 3:  1 -3  1

  1. the [-1 5 -1] kernel, i.e. identity - laplacian = identity filter
  2. the picture itself
  3. [ 1 -3 1] kernel, i.e. identity laplacian = identity - filter

You see, #3 looks blurry because some high frequencies were subtracted.

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