TY - GEN
T1 - Symmetry-aware mesh processing
AU - Golovinskiy, A.
AU - Podolak, J.
AU - Funkhouser, T.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
KW - Mesh processing
KW - Symmetry analysis
UR - http://www.scopus.com/inward/record.url?scp=70349884045&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349884045&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-03596-8_10
DO - 10.1007/978-3-642-03596-8_10
M3 - Conference contribution
AN - SCOPUS:70349884045
SN - 3642035957
SN - 9783642035951
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 170
EP - 188
BT - Mathematics of Surfaces XIII - 13th IMA International Conference, Proceedings
T2 - 13th IMA International Conference on Mathematics of Surfaces
Y2 - 7 September 2009 through 9 September 2009
ER -