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» Exact Geometric and Algebraic Computations in CGAL
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SMA
2010
ACM
231views Solid Modeling» more  SMA 2010»
13 years 6 months ago
Fast and robust retrieval of Minkowski sums of rotating convex polyhedra in 3-space
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-...
Naama Mayer, Efi Fogel, Dan Halperin
COMPGEOM
2005
ACM
13 years 8 months ago
Shortest path amidst disc obstacles is computable
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...
Ee-Chien Chang, Sung Woo Choi, DoYong Kwon, Hyungj...
COMPGEOM
2004
ACM
13 years 10 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...
FOCS
2006
IEEE
14 years 19 days ago
On a Geometric Generalization of the Upper Bound Theorem
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...
Uli Wagner
COMPGEOM
2008
ACM
13 years 8 months ago
Visualizing and exploring planar algebraic arrangements: a web application
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...
Pavel Emeliyanenko, Michael Kerber