With reference to Problem 3.25,3.25 You saw in Fig. 3.38 that the Laplacian with a −8 in t...

With reference to Problem 3.25,

3.25 You saw in Fig. 3.38 that the Laplacian with a −8 in the center yields sharper results than the one with a −4 in the center. Explain the reason in detail.

FIGURE 3.38 (a) Blurred image of the North Pole of the moon. (b) Laplacian without scaling. (c) Laplacian with scaling. (d) Image sharpened using the mask in Fig. 3.37(a). (e) Result of using the mask in Fig. 3.37(b). (Original image courtesy of NASA.)

(a) Would using a larger “Laplacian-like” mask, say, of size 5 × 5 with a −24 in the center, yield an even sharper result? Explain in detail.

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(b) How does this type of filtering behave as a function of mask size?