A faster circle-sweep Delaunay triangulation algorithm

  • Authors:
  • Ahmad Biniaz;Gholamhossein Dastghaibyfard

  • Affiliations:
  • Department of Computer Engineering, Lamerd Branch, Islamic Azad University, Lamerd, Iran;Department of Computer Science and Engineering, Shiraz University, Shiraz, Iran

  • Venue:
  • Advances in Engineering Software
  • Year:
  • 2012

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Abstract

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.