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» An introduction to line geometry with applications
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ICRA
2006
IEEE
128views Robotics» more  ICRA 2006»
14 years 1 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
COMPGEOM
2000
ACM
13 years 12 months ago
Fast computation of generalized Voronoi diagrams using graphics hardware
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 9 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
ICDE
2007
IEEE
145views Database» more  ICDE 2007»
14 years 1 months ago
A Data Model for Moving Objects Supporting Aggregation
Moving objects databases (MOD) have been receiving increasing attention from the database community in recent years, mainly due to the wide variety of applications that technology...
Bart Kuijpers, Alejandro A. Vaisman
WADS
2007
Springer
156views Algorithms» more  WADS 2007»
14 years 1 months ago
Cuttings for Disks and Axis-Aligned Rectangles
We present new asymptotically tight bounds on cuttings, a fundamental data structure in computational geometry. For n objects in space and a parameter r ∈ N, an 1 r -cutting is ...
Eynat Rafalin, Diane L. Souvaine, Csaba D. T&oacut...