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

Autor:	Mang, Andreas, He, Jiwen, Azencott, Robert
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control Mathematics - Numerical Analysis 65K10 49K15 37C05
Druh dokumentu:	Working Paper
Popis:	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. Comment: 42 pages, 10 figures, 7 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.10114 Zobrazit plný text záznamu View this record from Arxiv