Problem

The so-called compass gradient operators of size 3 × 3 are designed to measure gradients o...

The so-called compass gradient operators of size 3 × 3 are designed to measure gradients of edges oriented in eight directions: E, NE, N, NW,W, SW, S, and SE.

(a) Give the form of these eight operators using coefficients valued 0,1, or −1.


(b) Specify the gradient vector direction of each mask, keeping in mind that the gradient direction is orthogonal to the edge direction.

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