Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 188, Issue 1, Pages 143-168Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-020-01789-5
Keywords
Diffeomorphic matching; Computational anatomy; Operator splitting; Nonlinear control; Variational calculus
Funding
- National Science Foundation [DMS-1854853, DMS-2009923, DMS-2012825]
- Methodist Hospital Research Institute (Cardiology Department)
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This operator splitting approach is developed to solve diffeomorphic matching problems for sequences of surfaces in three-dimensional space. The algorithms have been implemented in proprietary software at The Methodist Hospital for monitoring mitral valve strain through computer analysis of noninvasive patients echocardiographies.
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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