Singular solutions, momentum maps and computational anatomy

Colin J. Cotter; Darryl D. Holm

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arXiv · nlin/0605020

Singular solutions, momentum maps and computational anatomy

Colin J. Cotter·Darryl D. Holm

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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.

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Colin J. Cotter, Darryl D. Holm. 2006-05-08. Singular solutions, momentum maps and computational anatomy. https://arxiv.org/abs/nlin/0605020

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