Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

Peng Zhang (), Andreas Mang (), Jiwen He (), Robert Azencott (), K. Carlos El-Tallawi () and William A. Zoghbi ()
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Peng Zhang: University of Houston
Andreas Mang: University of Houston
Jiwen He: University of Houston
Robert Azencott: University of Houston
K. Carlos El-Tallawi: Houston Methodist
William A. Zoghbi: Houston Methodist

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 1, No 7, 143-168

Abstract: Abstract 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 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.

Keywords: Diffeomorphic matching; Computational anatomy; Operator splitting; Nonlinear control; Variational calculus; 65K10; 49M29; 34H05; 76D55 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-020-01789-5

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