(a) Show that the rubber-band polygonal approximation approach discussed in Section 11.1.3...

(a) Show that the rubber-band polygonal approximation approach discussed in Section 11.1.3 yields a polygon with minimum perimeter.

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(b) Show that if each cell corresponds to a pixel on the boundary, the maximum possible error in that cell is where d is the minimum possible horizontal or vertical distance between adjacent pixels (i.e., the distance between lines in the sampling grid used to produce the digital image).