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

07/19/2023

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by   Andreas Mang, et al.

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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 ∈diff(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 ℝ^3 to assess the performance of our methodology.