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

doi:10.1007/s10957-020-01789-5

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 journal › Article › peer-review

4 Scopus citations

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 language	English (US)
Pages (from-to)	143-168
Number of pages	26
Journal	Journal of Optimization Theory and Applications
Volume	188
Issue number	1
DOIs	https://doi.org/10.1007/s10957-020-01789-5
State	Published - 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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10.1007/s10957-020-01789-5

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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.",

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AU - He, Jiwen

AU - Azencott, Robert

AU - El-Tallawi, K. Carlos

AU - Zoghbi, William A.

PY - 2021/1

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AB - 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.

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KW - Diffeomorphic matching

KW - Nonlinear control

KW - Operator splitting

KW - Variational calculus

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Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

Abstract

Keywords

ASJC Scopus subject areas

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