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.
M. Bauer, M. Bruveris, N. Charon, J. Møller-Andersen—All authors contributed equally to the article.
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Notes
- 1.
We used the publicly available Matlab implementation, which can be downloaded at http://ssamg.stat.fsu.edu/software.
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Bauer, M., Bruveris, M., Charon, N., Møller-Andersen, J. (2017). Varifold-Based Matching of Curves via Sobolev-Type Riemannian Metrics. In: Cardoso, M., et al. Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics. GRAIL MICGen MFCA 2017 2017 2017. Lecture Notes in Computer Science(), vol 10551. Springer, Cham. https://doi.org/10.1007/978-3-319-67675-3_14
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