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Circular Separability of Polygons

Abstract : Two planar sets are circularly separable if there exists a circle enclosing one of the set and whose open interior disk does not intersect the other set. This paper studies two problems related to circular separability. A linear-time algorithm is proposed to decide if two polygons are circularly separable. The algorithm outputs the smallest separating circle. The second problem asks for the largest circle included in a preprocessed, convex polygon, under some point and/or line constraints. The resulting circle must contain the query points and it must lie in the halfplanes delimited by the query lines.
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Submitted on : Wednesday, May 24, 2006 - 2:54:18 PM
Last modification on : Friday, February 4, 2022 - 3:16:23 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:21:29 PM


  • HAL Id : inria-00074269, version 1



Jean-Daniel Boissonnat, Jurek Czyzowicz, Olivier Devillers, Mariette Yvinec. Circular Separability of Polygons. RR-2406, INRIA. 1994. ⟨inria-00074269⟩



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