Triangular Bézier sub-surfaces on a triangular Bézier surface

This paper considers the problem of computing the Bézier representation for a triangular sub-patch on a triangular Bézier surface. The triangular sub-patch is defined as a composition of the triangular surface and a domain surface that is also a triangular Bézier patch. Based on de Casteljau recursions and shifting operators, previous methods express the control points of the triangular sub-patch as linear combinations of the construction points that are constructed from the control points of the triangular Bézier surface. The construction points contain too many redundancies. This paper derives a simple explicit formula that computes the composite triangular sub-patch in terms of the blossoming points that correspond to distinct construction points and then an efficient algorithm is presented to calculate the control points of the sub-patch

A Framework for GPU-accelerated Virtual Cardiac Intervention

International audienceCardiovascular diseases is a major cause of deaths inmany developed countries. To treat cardiovascular diseases,minimally invasive cardiac intervention is widely used as aneffective yet complicated solution. Training of cardiac interventionthus plays a crucial role. This paper addresses the use of VirtualReality (VR) technology for the simulated training of cardiacintervention. In particular, the paper describes the architecture ofa simulation system for virtual cardiac intervention. Theframework proposed consists of hardware component, softwarecomponent and methodology component. As an enablingtechnology, Graphics Processing Unit (GPU) is applied in thiswork to enhance cardiac modeling, cardiac visualization, andcardiac interaction with the VR simulation environmen