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COMPGEOM
2010
ACM
14 years 1 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
VCBM
2010
13 years 3 months ago
A General Approach to Model Biomedical Data from 3D Unorganised Point Clouds with Medial Scaffolds
We present the latest developments in modeling 3D biomedical data via the Medial Scaffold (MS), a 3D acyclic oriented graph representation of the Medial Axis (MA) [LK07, SP08]. Th...
Frederic F. Leymarie, Ming-Ching Chang, Celina Imi...
CGF
2011
13 years 5 days ago
Global Structure Optimization of Quadrilateral Meshes
We introduce a fully automatic algorithm which optimizes the high-level structure of a given quadrilateral mesh to achieve a coarser quadrangular base complex. Such a topological ...
David Bommes, Timm Lempfer, Leif Kobbelt
COMPGEOM
2006
ACM
14 years 2 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...
COMPGEOM
2004
ACM
14 years 2 months ago
A 2D kinetic triangulation with near-quadratic topological changes
Given a set of n points S in the plane, a triangulation of S is a subdivision of the convex hull into triangles whose vertices are from S. In the kinetic setting, the input point ...
Pankaj K. Agarwal, Yusu Wang, Hai Yu