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» Reversible Polygonalization of a 3D Planar Discrete Curve: A...
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TOG
2008
127views more  TOG 2008»
13 years 7 months ago
Freeform surfaces from single curved panels
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...
COMPGEOM
2003
ACM
14 years 26 days ago
Curve-sensitive cuttings
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...
Vladlen Koltun, Micha Sharir
ICRA
2000
IEEE
180views Robotics» more  ICRA 2000»
14 years 5 hour ago
Interactive Motion Planning Using Hardware-Accelerated Computation of Generalized Voronoi Diagrams
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...
COMPGEOM
2004
ACM
13 years 11 months ago
Continuous path verification in multi-axis NC-machining
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...
COMPGEOM
2001
ACM
13 years 11 months ago
The convex hull of ellipsoids
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...
Nicola Geismann, Michael Hemmer, Elmar Schöme...