Dedicated 3D geometrical models for representing anatomical structures

The representation of anatomical structures requires to take into account their topological features such as their morphological ones. Differential geometrical properties also have to be managed through the associated 3D models. Unfortunately, classical geometrical modeling approaches do not provide these possibilities. In this paper, we describe two original approaches that bring a solution to this problem for the representation of tree-like cavities - such as vascular ones - and complex organs - such as the heart. Medical applications were given as an illustration of the use of two new approaches discussed bellow.