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arXiv · 2307.10114

An Operator-Splitting Approach for Variational Optimal Control Formulations for Diffeomorphic Shape Matching

Andreas Mang·Jiwen He·Robert Azencott
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Abstract

We present formulations and numerical algorithms for solving diffeomorphic shape matching problems. We formulate shape matching as a variational problem governed by a dynamical system that models the flow of diffeomorphism $f_t \in \operatorname{diff}(\mathbb{R}^3)$. We overview our contributions in this area, and present an improved, matrix-free implementation of an operator splitting strategy for diffeomorphic shape matching. We showcase results for diffeomorphic shape matching of real clinical cardiac data in $\mathbb{R}^3$ to assess the performance of our methodology.

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Andreas Mang, Jiwen He, Robert Azencott. 2023-07-19. An Operator-Splitting Approach for Variational Optimal Control Formulations for Diffeomorphic Shape Matching. https://arxiv.org/abs/2307.10114

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