Symmetry-aware mesh processing

A. Golovinskiy, J. Podolak, T. Funkhouser

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

15 Scopus citations

Abstract

Perfect, partial, and approximate symmetries are pervasive in 3D surface meshes of real-world objects. However, current digital geometry processing algorithms generally ignore them, instead focusing on local shape features and differential surface properties. This paper investigates how detection of large-scale symmetries can be used to guide processing of 3D meshes. It investigates a framework for mesh processing that includes steps for symmetrization (applying a warp to make a surface more symmetric) and symmetric remeshing (approximating a surface with a mesh having symmetric topology). These steps can be used to enhance the symmetries of a mesh, to decompose a mesh into its symmetric parts and asymmetric residuals, and to establish correspondences between symmetric mesh features. Applications are demonstrated for modeling, beautification, and simplification of nearly symmetric surfaces.

Original languageEnglish (US)
Title of host publicationMathematics of Surfaces XIII - 13th IMA International Conference, Proceedings
Pages170-188
Number of pages19
DOIs
StatePublished - Oct 16 2009
Event13th IMA International Conference on Mathematics of Surfaces - York, United Kingdom
Duration: Sep 7 2009Sep 9 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5654 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other13th IMA International Conference on Mathematics of Surfaces
CountryUnited Kingdom
CityYork
Period9/7/099/9/09

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Keywords

  • Mesh processing
  • Symmetry analysis

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  • Cite this

    Golovinskiy, A., Podolak, J., & Funkhouser, T. (2009). Symmetry-aware mesh processing. In Mathematics of Surfaces XIII - 13th IMA International Conference, Proceedings (pp. 170-188). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5654 LNCS). https://doi.org/10.1007/978-3-642-03596-8_10