We present a novel method for fast retrieval of exact Minkowski sums of pairs of convex polytopes in R3 , where one of the polytopes keeps rotating. The algorithm is based on pre-...
An open question in Exact Geometric Computation is whether there are transcendental computations that can be made “geometrically exact”. Perhaps the simplest such problem in c...
We introduce a new approach to the problem of collision detection between a rotating milling-cutter of an NC-machine and a model of a solid workpiece, as the rotating cutter conti...
Ron Wein, Oleg Ilushin, Gershon Elber, Dan Halperi...
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
A web application is presented to compute, plot, and interactively explore planar arrangements induced by algebraic plane curves of arbitrary degree. It produces accurate curve pl...