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2017 | Supplement | Chapter

Varifold-Based Matching of Curves via Sobolev-Type Riemannian Metrics

Authors : Martin Bauer, Martins Bruveris, Nicolas Charon, Jakob Møller-Andersen

Published in: Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics

Publisher: Springer International Publishing

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Abstract

Second order Sobolev metrics are a useful tool in the shape analysis of curves. In this paper we combine these metrics with varifold-based inexact matching to explore a new strategy of computing geodesics between unparametrized curves. We describe the numerical method used for solving the inexact matching problem, apply it to study the shape of mosquito wings and compare our method to curve matching in the LDDMM framework.

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previous chapter Exact Function Alignment Under Elastic Riemannian Metric
next chapter Computational Anatomy in Theano
Footnotes
1
We used the publicly available Matlab implementation, which can be downloaded at http://​ssamg.​stat.​fsu.​edu/​software.
 
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Metadata
Title
Varifold-Based Matching of Curves via Sobolev-Type Riemannian Metrics
Authors
Martin Bauer
Martins Bruveris
Nicolas Charon
Jakob Møller-Andersen
Copyright Year
2017
Book
Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics

Print ISBN: 978-3-319-67674-6

Electronic ISBN: 978-3-319-67675-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-67675-3_14

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