Dynamic Modelling of the Whole Heart Based on a Frequency Formulation and Implementation of Parametric Deformable Models

In the past few years, numerous efforts have been devoted to the segmentation and characterization of the human heart from various medical image techniques. This paper addresses the first results of parametric deformable models defined in the Fourier domain as a tool to characterize the shape of the heart. The main advantage of these models is their high speed of adaptation to the dataset and their robustness against noise. In addition, due to their explicit parametric typology, different parameters of its dynamical behaviour can be derived from their mathematical expression. This article details the mathematical framework of deformable models defined in the frequency domain as well as the preprocessing and practical implementation of the model used in this application to model the cardiac cycle of the whole heart.