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Meshing Surfaces and Volumes with Centroidal Voronoi Tesselations

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1 Author(s)
Levy, B. ; LORIA, INRIA Nancy Grand-Est, Nancy, France

We present several variations on Centroidal Voronoi Tesselations. First we review the classical definition, as a stable critical point of an objective function (quantization noise power), then we propose some modifications of the objective function (anisotropy, Lp norm). The so-modified Centroidal Voronoi Tesselations are useful for applications in geometry processing. Thus we demonstrate feature-aware surface remeshing, hexaedral-dominant meshing of 3D domains and fitting subdivision surfaces to unstructured triangle sets.

Published in:

Voronoi Diagrams in Science and Engineering (ISVD), 2011 Eighth International Symposium on

Date of Conference:

28-30 June 2011