Geometric modeling of pelvic organs with a discrete offset approach

Abstract

In order to design a patient-specific simulator of pelvic organs, MoDyPe project considers the organs as thick surfaces. Starting from a closed parametric surface for the outer hull, an offset approach is applied. However, respecting the thickness on the surface and ensuring the absence of self-intersection is impossible if the shape has too important local curvatures. Two iterative approaches are compared. The first method is based on a B-spline formulation, and the second one on a mass-spring system (MSS). Our second method on discrete representation permits to obtain more accurate results with a more flexible formulation of the problem.