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Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

Author

Listed:
  • 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)

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.

Suggested Citation

  • Peng Zhang & Andreas Mang & Jiwen He & Robert Azencott & K. Carlos El-Tallawi & William A. Zoghbi, 2021. "Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging," Journal of Optimization Theory and Applications, Springer, vol. 188(1), pages 143-168, January.
    • Handle: RePEc:spr:joptap:v:188:y:2021:i:1:d:10.1007_s10957-020-01789-5
    DOI: 10.1007/s10957-020-01789-5
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