Problem

The rectangle in the binary image in the next page is of size m ×n pixels.(a) What would t...

The rectangle in the binary image in the next page is of size m ×n pixels.

(a) What would the magnitude of the gradient of this image look like based on using the approximation given in Eq. (10.2-20)? Assume that gx and gy are obtained using the Sobel operators. Show all relevant different pixel values in the gradient image.

(10.2-20)


(b) Sketch the histogram of edge directions computed using Eq. (10.2-11). Be precise in labeling the height of each component of the histogram.

(10.2-11)


(c) What would the Laplacian of this image look like based on using the approximation in Eq. (10.2-7)? Show all relevant different pixel values in the Laplacian image.

(10.2-7)

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