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  • 1
    Electronic Resource
    Electronic Resource
    On separating two simple polygons by a single translation (1989)
    Springer
    Discrete & computational geometry 4 (1989), S. 265-278 
    Details
    ISSN: 1432-0444
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract LetP andQ be two disjoint simple polygons havingn sides each. We present an algorithm which determines whetherQ can be moved by a single translation to a position sufficiently far fromP, and which produces all such motions if they exist. The algorithm runs in timeO(t(n)) wheret(n) is the time needed to triangulate ann-sided polygon. Since Tarjan and Van Wyk have recently shown thatt(n)=O(n log logn) this improves the previous best result for this problem which wasO(n logn) even after triangulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02187729
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