Refer to the Hough transform discussed in Section 10.2.7.(a) Explain why the Hough mapping...

Refer to the Hough transform discussed in Section 10.2.7.

(a) Explain why the Hough mapping of point 1 in Fig. 10.33(a) is a straight line in Fig. 10.33(b).

FIGURE 10.33 (a) Image of size 101 × 101 pixels, containing five points. (b) Corresponding parameter space. (The points in (a) were enlarged to make them easier to see.)

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(b) Is this the only point that would produce that result? Explain.

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(c) Explain the reflective adjacency relationship illustrated by, for example, the curve labeled Q in Fig. 10.33(b).