Question: Computational Geometry Given two arbitrary convex polygons P and Q with n and m vertices respectively. The polygons can be disjoint, one inside the other,

Computational Geometry

Given two arbitrary convex polygons P and Q with n and m vertices respectively. The polygons can be disjoint, one inside the other, or the boundaries might intersect a number of times.

a) What is the smallest and largest number of vertices that can be on the convex hull of P Q. Give an exact expression and nut an asymptotic bound.Explain your answer.

b) Give a O(n + m) time algorithm to compute the convex hull of P Q. Argue your algorithm's correctness and analyze its complexity.

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