(a) Discuss the effect of using the structuring element in Fig. 9.15(c) for boundary extra...

(a) Discuss the effect of using the structuring element in Fig. 9.15(c) for boundary extraction, instead of the one shown in Fig. 9.13(b).

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(b) What would be the effect of using a 3 × 3 structuring element composed of all 1s in the hole filling algorithm of Eq. (9.5-2), instead of the structuring element shown in Fig. 9.15(c)?

FIGURE 9.15 Holefilling. (a) Set A(shown shaded). (b) Complement Of A (c) Structuring Element B (d) Initial point inside the boundary. (e)–(h) Various steps of Eq. (9.5-2). (i) Final result [union of (a) and (h)].

FIGURE 9.13 (a) Set A (b) Structuring element B (c) eroded by B (d) Boundary,given by the set difference between A and its erosion.

(9.5-2)