Decomposition and Intersection of Simple Splinegons

Report ID: TR-051-86
Author: Souvaine, Diane L. / Dobkin, David P. / Van Wyk, Christopher J.
Date: 1986-08-00
Pages: 18
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Abstract:

A splinegon is a polygon whose edges have been replaced by "well-behaved" curves. We show how to decompose a simple splinegon into a union of monotone pieces and into a union of differences of unions of convex pieces. We also show how to use a fast triangulation algorithm to test whether two given simple splinegons intersect. We conclude with examples of splinegons that make the extension of algorithms from polygons to splinegons difficult.