An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching
An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching
复制标题
微分同胚形状匹配变分最优控制公式的算子分割方法
DOI：
10.1016/j.jcp.2023.112463
复制
发表时间：
2023
影响因子：
4.1
通讯作者：
Azencott, Robert
中科院分区：
文献类型：
--
作者：
Mang, Andreas;He, Jiwen;Azencott, Robert
我们提出的公式和数值算法求解的同构形状匹配问题。我们制定形状匹配作为一个变分问题，由一个动力系统，模型流的非同构ft ∈ diff（R 3）。我们概述了我们在这方面的贡献，并提出了一个改进的，矩阵的实现算子分裂策略的同构形状匹配。我们展示了R 3中真实的临床心脏数据的形态学形状匹配结果，以评估我们方法的性能。
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.