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) |
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Pages (from-to) | 143-168 |
Number of pages | 26 |
Journal | Journal of Optimization Theory and Applications |
Volume | 188 |
Issue number | 1 |
DOIs | |
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