Modeling of cardiac images by implicit polynomials for diagnostics

Abstract

This study aims modeling of left ventricles of human hearts with 2D and 3D implicit polynomials for inspection of heart deformations. Extracting 3D information of left ventricle is made possible by utilization of magnetic resonance (MR) and computerized tomography (CT) technologies. Our research has shown that 4th degree impicit polynomials are adequate both in 2D and 3D for representing the shape of left ventricule and the asymmetric conic shape of the heart for proper functioning. This study consists of a throughout elaboration starting from modeling of human hearts with implicit polynomials, visualization of these 2D and 3D implicit polynomials, calculation of euclidean, affine, and projective invariants and realization of an inspection based on these invariants. Also, a study on any resemblance between the invariants extracted from human and dog hearts is conducted.