Low-resolution remeshing using the localized restricted voronoi diagram

Dong Ming Yan, Guanbo Bao, Xiaopeng Zhang, Peter Wonka

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

A big problem in triangular remeshing is to generate meshes when the triangle size approaches the feature size in the mesh. The main obstacle for Centroidal Voronoi Tessellation (CVT)-based remeshing is to compute a suitable Voronoi diagram. In this paper, we introduce the localized restricted Voronoi diagram (LRVD) on mesh surfaces. The LRVD is an extension of the restricted Voronoi diagram (RVD), but it addresses the problem that the RVD can contain Voronoi regions that consist of multiple disjoint surface patches. Our definition ensures that each Voronoi cell in the LRVD is a single connected region. We show that the LRVD is a useful extension to improve several existing mesh-processing techniques, most importantly surface remeshing with a low number of vertices. While the LRVD and RVD are identical in most simple configurations, the LRVD is essential when sampling a mesh with a small number of points and for sampling surface areas that are in close proximity to other surface areas, e.g., nearby sheets. To compute the LRVD, we combine local discrete clustering with a global exact computation.

Original languageEnglish (US)
Article number6832586
Pages (from-to)1418-1427
Number of pages10
JournalIEEE Transactions on Visualization and Computer Graphics
Volume20
Issue number10
DOIs
StatePublished - Oct 1 2014

Keywords

  • Localized restricted Voronoi diagram
  • Poisson-disk sampling
  • centroidal Voronoi tessellation
  • remeshing

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design

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