Symmetry-aware mesh processing

A. Golovinskiy, J. Podolak, T. Funkhouser

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

18 Scopus citations


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
Number of pages19
StatePublished - 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


Other13th IMA International Conference on Mathematics of Surfaces
Country/TerritoryUnited Kingdom

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science


  • Mesh processing
  • Symmetry analysis


Dive into the research topics of 'Symmetry-aware mesh processing'. Together they form a unique fingerprint.

Cite this