Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

TL;DR

This paper introduces an operator splitting method for fast, smooth diffeomorphic shape matching of 3D surfaces, with practical application in monitoring mitral valve strain from echocardiography videos.

Contribution

It presents a novel operator splitting algorithm for efficient 3D shape matching, specifically tailored for dynamic cardiology imaging data.

Findings

Implemented in clinical software at The Methodist Hospital

Enables rapid and smooth matching of 3D surface sequences

Supports noninvasive cardiac monitoring

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 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.