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» On the sizes of Delaunay meshes
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90
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CAIP
2007
Springer
209views Image Analysis» more  CAIP 2007»
15 years 6 months ago
Delaunay-Based Vector Segmentation of Volumetric Medical Images
The image segmentation plays an important role in medical image processing. Many segmentation algorithms exist. Most of them produce raster data which is not suitable for 3D geomet...
Michal Spanel, Premysl Krsek, Miroslav Svub, V&iac...
109
Voted
ESA
2000
Springer
124views Algorithms» more  ESA 2000»
15 years 4 months ago
Higher Order Delaunay Triangulations
For a set P of points in the plane, we introduce a class of triangulations that is an extension of the Delaunay triangulation. Instead of requiring that for each triangle the circ...
Joachim Gudmundsson, Mikael Hammar, Marc J. van Kr...
83
Voted
ICALP
1991
Springer
15 years 4 months ago
The Expected Extremes in a Delaunay Triangulation
We give an expected-case analysis of Delaunay triangulations. To avoid edge effects we consider a unit-intensity Poisson process in Euclidean d-space, and then limit attention to...
Marshall W. Bern, David Eppstein, F. Frances Yao
89
Voted
DCG
2008
86views more  DCG 2008»
15 years 15 days ago
Reconstruction Using Witness Complexes
We present a novel reconstruction algorithm that, given an input point set sampled from an object S, builds a one-parameter family of complexes that approximate S at different sca...
Leonidas J. Guibas, Steve Oudot
92
Voted
CCCG
2009
15 years 1 months ago
Relaxed Gabriel Graphs
We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1]...
Prosenjit Bose, Jean Cardinal, Sébastien Co...