Sciweavers

11 search results - page 1 / 3
» On the Union of Cylinders in Three Dimensions
Sort
View
FOCS
2008
IEEE
13 years 11 months ago
On the Union of Cylinders in Three Dimensions
We show that the combinatorial complexity of the union of n infinite cylinders in R3 , having arbitrary radii, is O(n2+ε ), for any ε > 0; the bound is almost tight in the w...
Esther Ezra
COMPGEOM
2010
ACM
13 years 10 months ago
The 2-center problem in three dimensions
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir
COMGEO
2004
ACM
13 years 4 months ago
Speeding up the incremental construction of the union of geometric objects in practice
We present a new incremental algorithm for constructing the union of n triangles in the plane. In our experiments, the new algorithm, which we call the Disjoint-Cover (DC) algorit...
Eti Ezra, Dan Halperin, Micha Sharir
ICRA
2006
IEEE
128views Robotics» more  ICRA 2006»
13 years 11 months ago
Collision Detection of Cylindrical Rigid Bodies for Motion Planning
Abstract— This paper presents a novel methodology for detecting collisions of cylindrically shaped rigid bodies moving in three dimensions. This algorithm uses line geometry and ...
John Ketchell, Pierre M. Larochelle