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Computational Geometry
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Computational Geometry
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Meshing skin surfaces with certified topology

Authors: Nico Kruithof; Gert Vegter;

Meshing skin surfaces with certified topology

Abstract

Skin surfaces form a class of tangent continuous surfaces defined in terms of a set of balls (the atoms of the molecule) and a shrink factor. They are used for the visualization of molecules and for approximation purposes. The authors present an algorithm that approximates a skin surface with a topologically correct mesh. The complexity of the mesh is linear in the size of the Delaunay triangulation of the balls, which is worst case optimal. They also adapt two existing refinement algorithms to improve the quality of the mesh and show that the same algorithm can be used for meshing a union of balls.

Country
Netherlands
Related Organizations
Keywords

Regular triangulation, Control and Optimization, regular triangulation, refinement algorithms, Isotopy, Delaunay triangulation, TRIANGULATION, Computational aspects related to convexity, visualization of molecules, Computer Science Applications, isotopy, Computational Mathematics, Computational Theory and Mathematics, meshing, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics; computational geometry (digital and algorithmic aspects), Skin surfaces, skin surfaces, Geometry and Topology, Meshing

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    19
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Average
Top 10%
Average
hybrid