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- Title
Fast and Exact (Poisson) Solvers on Symmetric Geometries.
- Authors
Kazhdan, M.
- 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.
- Subjects
MATHEMATICAL symmetry; COMPUTER graphics; GEOMETRIC analysis; OPERATOR theory; REPRESENTATION theory
- Publication
Computer Graphics Forum, 2015, Vol 34, Issue 5, p153
- ISSN
0167-7055
- Publication type
Article
- DOI
10.1111/cgf.12704