We introduce a set of techniques that are used together to produce realistic-looking animations of burning objects. These include a new method for simulating spreading on polygonal meshes. A key component of our approach consists in using individual flames as primitives to animate and render the fire. This simplification enables rapid computation and gives more intuitive control over the simula...

In this paper, we introduce a practical modeling approach to improve the quality of polygonal mesh structures. Our approach is based on a discrete version of Gaussian-Bonnet theorem on piecewise planar manifold meshes and vertex angle deflections that determines local geometric behavior. Based on discrete GaussianBonnet theorem, summation of angle deflections of all vertices is independent of m...

In this paper we consider higher order infinitesimal bending of a surface in E3. Sufficient condition for a toroid generated by polygonal meridian to be non-rigid of higher order is given. This work is an extension of the results [1]-[7]. Examples of non-rigid surfaces, with visual presentation of infinitesimal bending are given. AMS Subj. Class.: 53A05, 53C45, 68U05

BACKGROUND Clinical trials show that larger immediate postdeployment stent diameters provide greater ultimate luminal size, whereas animal data show that arterial injury and stent design determine late neointimal thickening. At deployment, a stent stretches a vessel, imposing a cross-sectional polygonal luminal shape that depends on the stent design, with each strut serving as a vertex. We aske...

This paper is concerned with the stability of the set of trajectories of a patchy vector field, in the presence of impulsive perturbations. Patchy vector fields are discontinuous, piecewise smooth vector fields that were introduced in Ancona and Bressan (1999) to study feedback stabilization problems. For patchy vector fields in the plane, with polygonal patches in generic position, we show tha...

Polygonal meshes are used in many application scenarios. Often the generated meshes are too complex not allowing proper interaction, visualization or transmission through a network. To tackle this problem, simplification methods can be used to generate less complex versions of those meshes. For this purpose many methods have been proposed in the literature and it is of paramount importance that...

complexity of the scene which can be formed by several partially occluded objects (e.g. the bin-picking task). We describe the use of geometric reasoning and proI n t h e l i t e r a t u r * J t i s P° s s i b l e t o find <&* a TMmbe o f jective geometry to infer 3-D information about cirm e t h o d s f o r e l h P t i c a l 8 b u t t h e P r o b l e m o f d e a l i n 8 cles which project elli...