Title
Fast and Exact (Poisson) Solvers on Symmetric Geometries
Abstract
In computer graphics, numerous geometry processing applications reduce to the solution of a Poisson equation. When considering geometries with symmetry, a natural question to consider is whether and how the symmetry can be leveraged to derive an efficient solver for the underlying system of linear equations. In this work we provide a simple representation-theoretic analysis that demonstrates how symmetries of the geometry translate into block diagonalization of the linear operators and we show how this results in efficient linear solvers for surfaces of revolution with and without angular boundaries.
Year
DOI
Venue
2015
10.1111/cgf.12704
Computer Graphics Forum
DocType
Volume
Issue
Journal
34
5
ISSN
Citations 
PageRank 
0167-7055
1
0.35
References 
Authors
15
1
Name
Order
Citations
PageRank
Michael Kazhdan12940140.03