Refer to the contraharmonic filter given in Eq. (5.3-6).(a) Explain why the filter is effe...

Refer to the contraharmonic filter given in Eq. (5.3-6).

(a) Explain why the filter is effective in elimination pepper noise when Q is positive.

---

(b) Explain why the filter is effective in eliminating salt noise when Q is negative.

---

(c) Explain why the filter gives poor results (such as the results shown in Fig. 5.9) when the wrong polarity is chosen for Q.

---

(d) Discuss the behavior of the filter when Q = − 1.

---

(e) Discuss (for positive and negative Q)the behavior of the filter in areas of constant intensity levels.

(5.3-6)

FIGURE 5.9 Results of selecting the wrong sign in contraharmonic filtering. (a) Result of Filtering Fig. 5.8(a) with a Contraharmonic filter of size b3 × 3 and Q = −1.5. (b) Result of filtering 5.8(b) with Q = 1.5.