Mesh parameterization: A viewpoint from constant mean curvature surfaces

Hui Zhao, Kehua Su, Chenchen Li, Boyu Zhang, Shirao Liu, Lei Yang, Na Lei, Steven J. Gortler, Xianfeng Gu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

We present a unified mesh paramterization algorithm for both planar and spheric domains based on mesh deformation. Unlike previous methods, our approach can produce intermediate frames from the original to target meshes. We derive and define a novel geometric flow: unit normal flow(UNF) and prove that if unit normal flow converges, it will deform a surface to a constant mean curvature(CMC) surface, such as plane and sphere. Our method works by deforming meshes of disk topology to planes, meshes of spheric topology to spheres. The unit normal flow we propose also suggests a potential direction for creating CMC surfaces.

Original languageEnglish (US)
Title of host publicationPacific Graphics 2018 - 26th Pacific Conference on Computer Graphics and Applications, Short Papers and Posters Proceedings
EditorsHongbo Fu, Abhijeet Ghosh, Johannes Kopf
PublisherIEEE Computer Society
Pages25-28
Number of pages4
ISBN (Electronic)9783038680734
DOIs
StatePublished - 2018
Externally publishedYes
Event26th Pacific Conference on Computer Graphics and Applications, Pacific Graphics 2018 - Hong Kong, Hong Kong
Duration: Oct 8 2018Oct 11 2018

Publication series

NameProceedings - Pacific Conference on Computer Graphics and Applications
Volume2018-October
ISSN (Print)1550-4085

Conference

Conference26th Pacific Conference on Computer Graphics and Applications, Pacific Graphics 2018
Country/TerritoryHong Kong
CityHong Kong
Period10/8/1810/11/18

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Graphics and Computer-Aided Design
  • Modeling and Simulation

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