 
Summary: Eurographics Symposium on Geometry Processing 2010
Olga Sorkine and Bruno Lévy
(Guest Editors)
Volume 29 (2010), Number 5
Closedform Blending of Local Symmetries
Deboshmita Ghosh1
, Nina Amenta1
, Michael Kazhdan2
1University of California, Davis, California, USA
2Johns Hopkins University, Maryland, USA
Abstract
We present a closedform solution for the symmetrization problem, solving for the optimal deformation that rec
onciles a set of local bilateral symmetries. Given as input a set of pointpairs which should be symmetric, we first
compute for each local neighborhood a transformation which would produce an approximate bilateral symmetry.
We then solve for a single global symmetry which includes all of these local symmetries, while minimizing the de
formation within each local neighborhood. Our main motivation is the symmetrization of digitized fossils, which
are often deformed by a combination of compression and bending. In addition, we use the technique to symmetrize
articulated models.
Categories and Subject Descriptors (according to ACM CCS): http://www.acm.org/class/1998/ I.3.5 [Computer
Graphics]: Computational geometry and object modelingI.3.8 Applications
