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Title: Generalized edge-weighted centroidal Voronoi tessellations for geometry processing
Authors: Wang, Yu
Ju, Lili
Wang, Desheng
Wang, Xiaoqiang
Issue Date: 2012
Source: Wang, Y., Ju, L., Wang, D.,& Wang, X. (2012). Generalized edge-weighted centroidal Voronoi tessellations for geometry processing. Computers & Mathematics with Applications, 64(8), 2663-2681.
Series/Report no.: Computers & mathematics with applications
Abstract: In this paper, we propose a generalized edge-weighted centroidal Voronoi tessellation (GEWCVT) model and corresponding solution algorithms, then apply them for geometry processing such as curve/surface smoothing and reconstruction. The main idea of the method is to seek a good way to discretize the similarity and regularity measures of the objective functional in the context of centroidal Voronoi tessellation methodology, so that its minimization can be done by clustering-type algorithms. Through various numerical examples, the proposed GEWCVT-based method is shown to be an effective and robust tool for such applications.
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2012.07.011
Fulltext Permission: none
Fulltext Availability: No Fulltext
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