Singular solutions, momentum maps and computational anatomy
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
This paper describes the variational formulation of template matching problems of computational anatomy (CA); introduces the EPDiff evolution equation in the context of an analogy between CA and fluid dynamics; discusses the singular solutions for the EPDiff equation and explains why these singular solutions exist (singular momentum map). Then it draws the consequences of EPDiff for outline matching problem in CA and gives numerical examples.
Keywords
Cite
@article{arxiv.nlin/0605020,
title = {Singular solutions, momentum maps and computational anatomy},
author = {Colin J. Cotter and Darryl D. Holm},
journal= {arXiv preprint arXiv:nlin/0605020},
year = {2007}
}