Convex Hulls: Extensions and Applications

This chapter has two objectives. The first is the discussion of variants and special cases of the convex hull problem, as well as the average-case performance analysis of convex hull algorithms. The second objective is the discussion of applications that use the convex hull. New problems will be formulated and treated as they arise in these applications. Their variety should convince the reader that the hull problem is important both in practice and as a fundamental tool in computational geometry.