Convex Hull Computations
نویسنده
چکیده
The “convex hull problem” is a catch-all phrase for computing various descriptions of a polytope that is either specified as the convex hull of a finite point set in R or as the intersection of a finite number of halfspaces. We first define the various problems and discuss their mutual relationships (Section 26.1). We discuss the very special case of the irredundancy problem in Section 26.2. We consider general dimension d in Section 26.3 and describe the most common general algorithmic approaches along with the best run-time bounds achieved so far. In Section 26.4 we consider separately the case of small dimensions d = 2, 3, 4, 5. Finally, Section 26.5 addresses various issues related to the convex hull problem.
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