Based on Eq. (3.6-1), one approach for approximating a discrete derivative in 2-D is based...

Based on Eq. (3.6-1), one approach for approximating a discrete derivative in 2-D is based on computing differences of the form f(x + 1, y) − f(x, y) and f(x, y + 1) − f(x, y).

(a) Find the equivalent filter, H(u, v), in the frequency domain.

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(b) Show that your result is a highpass filter.

(3.6-1)