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Delaunay triangulation
Known as:
Delaunay tessellation
, Delaunay
, Thiessen triangulation
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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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Related topics
49 relations
Alpha shape
Beta skeleton
Bowyer–Watson algorithm
Bregman divergence
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2010
2010
Blocking delaunay triangulations
O. Aichholzer
,
Ruy Fabila Monroy
,
+4 authors
B. Vogtenhuber
Canadian Conference on Computational Geometry
2010
Corpus ID: 1683122
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…
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Highly Cited
2007
Highly Cited
2007
Computation of Tunnels in Protein Molecules using Delaunay Triangulation
Petr Medek
,
P. Benes
,
Jirí Sochor
Journal of WSCG
2007
Corpus ID: 14807628
This paper presents a new method of specific cavity analysis in protein molecules. Long-term biochemical research has the…
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2005
2005
An almost distribution-independent incremental Delaunay triangulation algorithm
M. Zadravec
,
B. Žalik
The Visual Computer
2005
Corpus ID: 12064088
This paper presents a new incremental insertion algorithm for constructing a Delaunay triangulation. Firstly, the nearest point…
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2004
2004
P2P Spatial Query Processing by Delaunay Triangulation
Hye-Young Kang
,
Bog-Ja Lim
,
Ki-Joune Li
International Workshop on Web and Wireless…
2004
Corpus ID: 6119165
Although a number of methods have been proposed to process exact match or range queries in P2P network, very few attention has…
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Highly Cited
2004
Highly Cited
2004
Robust Three Dimensional Delaunay Refinement
Steven E. Pav
,
N. Walkington
International Meshing Roundtable Conference
2004
Corpus ID: 16111926
The Delaunay Refinement Algorithm for quality meshing is extended to three dimensions. The algorithm accepts input with…
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2003
2003
Computing Delaunay Triangulation with Imprecise Input Data
A. Khanban
,
A. Edalat
Canadian Conference on Computational Geometry
2003
Corpus ID: 9473813
The key step in the construction of the Delaunay triangulation of a finite set of planar points is to establish correctly whether…
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2003
2003
A Weak Definition of Delaunay Triangulation
V. de Silva
2003
Corpus ID: 1681
We show that the traditional criterion for a simplex to belong to the Delaunay triangulation of a point set is equivalent to a…
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2002
2002
Delaunay triangulation programs on surface data
Sunghee Choi
,
N. Amenta
ACM-SIAM Symposium on Discrete Algorithms
2002
Corpus ID: 38508917
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…
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Highly Cited
1995
Highly Cited
1995
Simulation of Endoscopy
B. Geiger
,
R. Kikinis
Computer Vision, Virtual Reality and Robotics in…
1995
Corpus ID: 14607846
We present a simulation for endoscopic procedures. The anatomy of the patient is represented by 3D polyhedral models, computed…
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1991
1991
Dynamic maintenance of Delaunay triangulations
T. C. Kao
,
D. Mount
,
A. Saalfeld
1991
Corpus ID: 16924210
We describe and analyze the complexity of a procedure for computing and updating a Delaunay triangulation of a set of points in…
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