Singular solutions, momentum maps and computational anatomy

Details Singular solutions, momentum maps and computational anatomy Singular solutions, momentum maps and computational anatomy

2006-05-08

arxiv.org/abs/nlin/0605020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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