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• W2079789648 abstract "Finding the convex hull of a finite set of points in Euclidean space was one of the first problems explored in the field of computational geometry. In two dimensions a variety of algorithms have been developed and analyzed. For higher dimensions the problems are less well understood. Several “convex hull” problems are defined, solved, and analyzed here in terms of the size of the input and output. In all cases these solutions are the best of the known algorthms. The problems include enumerating the facets of the convex hull, computing the facial lattice of the convex hull and producing a new compact structure representing the combinatorial type of the convex hull. In addition, deciding the combinatorial equivalence of two polytopes is shown to be coNP-hard." @default.
• W2079789648 created "2016-06-24" @default.
• W2079789648 creator A5002771222 @default.
• W2079789648 date "1985-03-01" @default.
• W2079789648 modified "2023-09-23" @default.
• W2079789648 title "Finding the convex hull facet by facet" @default.
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• W2079789648 doi "https://doi.org/10.1016/0196-6774(85)90017-3" @default.
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