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Why is the sum of coefficients of a high pass filter mask zero?
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Solution:

The high pass filter is also known as the sharpening filter.

The high pass filter looks for quick changes (ie high frequencies) and not slow changes $(d c)$.

So at lower variation, the gain should be leno. and this can be done by having a mask equal to zen.

The sum of all coeff of how to pass filth should be 1 because it preserves the wean of the filtered image

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