# Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

arXiv: https://arxiv.org/abs/2011.10165 · HTML: https://mlsanity.com/paper/2011.10165/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Nov 2020.

## Built on by (most cited first, 1 of 1)

- [Automatic classification of deformable shapes](https://mlsanity.com/paper/2211.02530/) (2022)

## Abstract (arXiv)

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 a 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.