Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

Autor:	Zhang, Peng, Mang, Andreas, He, Jiwen, Azencott, Robert, El-Tallawi, K. Carlos, Zoghbi, William A.
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control 65K10 49M29 34H05 76D55
Zdroj:	Journal of Optimization Theory and Applications volume 188, pages 143-168 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1007/s10957-020-01789-5
Popis:	We develop an operator splitting approach to solve diffeomorphic matching problems for sequences of surfaces in three-dimensional space. The goal is to smoothly match, at a very fast rate, finite sequences of observed 3D-snapshots extracted from movies recording the smooth dynamic deformations of "soft" surfaces. We have implemented our algorithms in a proprietary software installed at The Methodist Hospital (Cardiology) to monitor mitral valve strain through computer analysis of noninvasive patients' echocardiographies. Comment: 18 pages; 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.10165 Zobrazit plný text záznamu View this record from Arxiv