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 journalArticlepeer-review

2 Scopus citations


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
Issue number1
StatePublished - Jan 2021


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

ASJC Scopus subject areas

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


Dive into the research topics of 'Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging'. Together they form a unique fingerprint.

Cite this