DMCA
Overlap of Convex Polytopes under Rigid Motion (2012)
by
Hee-kap Ahn
,
Siu-wing Cheng
,
Hyuk Jun Kweon
,
Juyoung Yon
| Citations: | 1 - 0 self |
BibTeX
@MISC{Ahn12overlapof,
author = {Hee-kap Ahn and Siu-wing Cheng and Hyuk Jun Kweon and Juyoung Yon},
title = {Overlap of Convex Polytopes under Rigid Motion },
year = {2012}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
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 −3 n log 3.5 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].
