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The Convex Hull of Rational Plane Curves

✍ Scribed by Gershon Elber; Myung-Soo Kim; Hee-Seok Heo

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 220 KB
Volume: 63
Category: Article
ISSN: 1524-0703
DOI: 10.1006/gmod.2001.0546

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✦ Synopsis

We present an algorithm that computes the convex hull of multiple rational curves in the plane. The problem is reformulated as one of finding the zero-sets of polynomial equations in one or two variables; using these zero-sets we characterize curve segments that belong to the boundary of the convex hull. We also present a preprocessing step that can eliminate many redundant curve segments.

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