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Delaunay triangulation

Known as: Delaunay tessellation, Delaunay, Thiessen triangulation 
In mathematics and computational geometry, a Delaunay triangulation for a set P of points in a plane is a triangulation DT(P) such that no point in P… 
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Papers overview

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2010
2010
Given a set B of n blue points in general position, we say that a set of red points R blocks B if in the Delaunay triangulation… 
Highly Cited
2007
Highly Cited
2007
This paper presents a new method of specific cavity analysis in protein molecules. Long-term biochemical research has the… 
2005
2005
This paper presents a new incremental insertion algorithm for constructing a Delaunay triangulation. Firstly, the nearest point… 
2004
2004
Although a number of methods have been proposed to process exact match or range queries in P2P network, very few attention has… 
Highly Cited
2004
Highly Cited
2004
The Delaunay Refinement Algorithm for quality meshing is extended to three dimensions. The algorithm accepts input with… 
2003
2003
The key step in the construction of the Delaunay triangulation of a finite set of planar points is to establish correctly whether… 
2003
2003
We show that the traditional criterion for a simplex to belong to the Delaunay triangulation of a point set is equivalent to a… 
2002
2002
The Delaunay triangulation of a set of points in 3D can have size Θ(n2) in the worst case, but this is rarely if ever observed in… 
Highly Cited
1995
Highly Cited
1995
We present a simulation for endoscopic procedures. The anatomy of the patient is represented by 3D polyhedral models, computed… 
1991
1991
We describe and analyze the complexity of a procedure for computing and updating a Delaunay triangulation of a set of points in…