In this paper we investigate timed polyhedra, i.e. polyhedra which are finite unions of full dimensional simplices of a special kind. Such polyhedra form the basis of timing analys...
We show how (now familiar) hierarchical representations of (convex) polyhedra can be used to answer various separation queries efficiently (in a number of cases, optimally). Our e...
Abstract. In this paper we investigate orthogonal polyhedra, i.e. polyhedra which are finite unions of full-dimensional hyper-rectangles. We define representation schemes for the...
Practical solid modeling systems are plagued by numerical problems that arise from using oatingpoint arithmetic. For example, polyhedral solids are often represented by a combinat...
Abstract. We present an extrapolation with care set operator to accelerate termination of reachability computation with polyhedra. At the same time, a counterexample guided refine...
Chao Wang, Zijiang Yang, Aarti Gupta, Franjo Ivanc...