1999University of Twente Research InformationOpen access

"Optimal" triangulation of surfaces and bodies

C.R. Traas

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Abstract

A new criterion is given for constructing an optimal triangulation of surfaces and bodies. The triangulation, called the {\\em tight} triangulation, is convexity preserving and accepts long, thin triangles whenever they are useful. Both properties are not shared by the maxmin triangulation, which in the plane is called the Delaunay triangulation.

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What this paper is about

A new criterion is given for constructing an optimal triangulation of surfaces and bodies. The triangulation, called the {\\em tight} triangulation, is convexity preserving and accepts long, thin triangles whenever they are useful. Both properties are not shared by the maxmin triangulation, which in the plane is called the Delaunay triangulation.

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Available abstract

A new criterion is given for constructing an optimal triangulation of surfaces and bodies. The triangulation, called the {\\em tight} triangulation, is convexity preserving and accepts long, thin triangles whenever they are useful. Both properties are not shared by the maxmin triangulation, which in the plane is called the Delaunay triangulation.

Key concepts: Delaunay triangulation, Pitteway triangulation, Surface triangulation, Bowyer–Watson algorithm, Minimum-weight triangulation, Point set triangulation, Constrained Delaunay triangulation, Triangulation

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