4.7 Article

A faster circle-sweep Delaunay triangulation algorithm

Journal

ADVANCES IN ENGINEERING SOFTWARE
Volume 43, Issue 1, Pages 1-13

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.advengsoft.2011.09.003

Keywords

Computational geometry; Delaunay triangulation; In-circle test; Recursive edge-flipping; Sweep-line; Sweep-circle

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This paper presents a new way to compute the Delaunay triangulation of a planar set P of n points, using sweep-circle technique combined with the standard recursive edge-flipping. The algorithm sweeps the plane by an increasing circle whose center is a fixed point in the convex hull of P. Empirical results and comparisons show that it reduces the number of in-circle tests and edge-flips, and it is efficient in practice. (C) 2011 Elsevier Ltd. All rights reserved.

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