This paper introduces a new algorithm for constructing a 2D Delaunay triangulation. It is based on a sweep-line paradigm, which is combined with a local optimization criterion-a characteristic of incremental insertion algorithms. The sweep-line status is represented by a so-called advancing front, w
An optimal algorithm for realizing a Delaunay triangulation
โ Scribed by Timothy Lambert
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 456 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0020-0190
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โฆ Synopsis
Dillencourt
( 1990) gives a constructive proof for the realizability as a Delaunay triangulation of any triangulation of the interior of a simple polygon. A naive implementation of the construction will take 0( n*) time. I give a simple O(n) algorithm for this problem. An application of this algorithm is generating test data for algorithms that process convex polygons. ($ 1997 Elsevier Science B.V.
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