Motivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-d...
Helmut Pottmann, Alexander Schiftner, Pengbo Bo, H...
We introduce (1/r)-cuttings for collections of surfaces in 3-space that are sensitive to an additional collection of curves. Specifically, let S be a set of n surfaces in R3 of c...
We present techniques for fast motion planning by using discrete approximations of generalized Voronoi diagrams, computed with graphics hardware. Approaches based on this diagram ...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
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...
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...