Overlap of Convex Polytopes under Rigid Motion

نویسندگان

  • Hee-Kap Ahn
  • Siu-Wing Cheng
  • Hyuk Jun Kweon
  • Juyoung Yon
چکیده

We present an algorithm to compute an approximate overlap of two convex polytopes P1 and P2 in R3 under rigid motion. Given any ε ∈ (0, 1/2], our algorithm runs in O(ε−3n log3.5 n) time with probability 1− n−O(1) and returns a (1− ε)-approximate maximum overlap, provided that the maximum overlap is at least λ ·max{|P1|, |P2|} for some given constant λ ∈ (0, 1]. 1998 ACM Subject Classification F.2.2 Nonnumerical Algorithms and Problems

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عنوان ژورنال:
  • Comput. Geom.

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2012