Cardiac Motion Modeling with Parallel Transport and Shape Splines

TL;DR

This paper introduces a novel approach combining LDDMM, parallel transport, and shape splines to model and analyze cardiac deformations, revealing disease-specific differences in right ventricle dynamics from echocardiographic data.

Contribution

It presents a new framework for normalizing and modeling cardiac shape deformations using advanced geometric techniques and spline models, applied to a large clinical dataset.

Findings

Significant differences in model parameters across disease categories.

Insights into disease-specific cardiac deformation patterns.

Effective modeling of cardiac contraction dynamics.

Abstract

In cases of pressure or volume overload, probing cardiac function may be difficult because of the interactions between shape and deformations.In this work, we use the LDDMM framework and parallel transport to estimate and reorient deformations of the right ventricle. We then propose a normalization procedure for the amplitude of the deformation, and a second-order spline model to represent the full cardiac contraction. The method is applied to 3D meshes of the right ventricle extracted from echocardiographic sequences of 314 patients divided into three disease categories and a control group. We find significant differences between pathologies in the model parameters, revealing insights into the dynamics of each disease.