A new uniform parameterization and invariant 3D spherical harmonic shape descriptors for shape analysis of the heart’s left ventricle – A pilot study

Abstract

A new approach for uniform parameterization and rotation invariant global description of 3D triangular surface meshes of objects with a spherical topology is presented. It consists of two steps. First, an initial mapping based on a heat conduction model is carried out and an optimization of the initial parameterization in a constrained optimization procedure is applied. Second, a rotation invariant 3D shape description is achieved using the abstract harmonic analysis and the shift theorem. Our approach is validated on both synthetic data and real data obtained from myocardial scintigraphy imaging technique as an example.