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Symmetry-Aware Mesh Processing
Mathematics of Surfaces 2009 (invited paper), September 2009

Aleksey Golovinskiy, Joshua Podolak, Thomas Funkhouser


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.

Citation (BibTeX)

Aleksey Golovinskiy, Joshua Podolak, and Thomas Funkhouser. Symmetry-Aware Mesh Processing. Mathematics of Surfaces 2009 (invited paper), September 2009.

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