A New Representation and Algorithm for Constructing Convex Hulls in Higher Dimensional Spaces

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摘要 ThispaperpresentsanewandsimpleschemetodescribetheconvexhullinR^d,whichonlyusesthreekindsofthefacesoftheconvexhull.i.e.,thed-1-faces,d-2-facesand0-faces.Thus,wedevelopandefficientnewalgorithmforconstructingtheconvexhullofafinitesetofpointsincrementally.Thisalgorithmemploysmuchlessstorageandtimethanthatofthepreviously-existingapproaches.Theanalysisoftherunniingtimeaswellasthestorageforthenewalgorithmisalsotheoreticallymade.Thealgorithmisoptimalintheworstcaseforevend.
机构地区 不详
出版日期 1992年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)