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...