Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

Peng Zhang, Andreas Mang, Jiwen He, Robert Azencott, K. Carlos El-Tallawi, William A. Zoghbi

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)143-168
Number of pages26
JournalJournal of Optimization Theory and Applications
Volume188
Issue number1
DOIs
StatePublished - Jan 2021

Keywords

  • Computational anatomy
  • Diffeomorphic matching
  • Nonlinear control
  • Operator splitting
  • Variational calculus

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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