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» Intersecting convex sets by rays
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98
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COMPGEOM
2007
ACM
15 years 4 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
88
Voted
CGF
2008
141views more  CGF 2008»
14 years 11 months ago
Accelerating Ray Tracing using Constrained Tetrahedralizations
In this paper we introduce the constrained tetrahedralization as a new acceleration structure for ray tracing. A constrained tetrahedralization of a scene is a tetrahedralization ...
Ares Lagae, Philip Dutré
ESA
2003
Springer
118views Algorithms» more  ESA 2003»
15 years 5 months ago
The Voronoi Diagram of Planar Convex Objects
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
Menelaos I. Karavelas, Mariette Yvinec
89
Voted
FOCS
2010
IEEE
14 years 10 months ago
Learning Convex Concepts from Gaussian Distributions with PCA
We present a new algorithm for learning a convex set in n-dimensional space given labeled examples drawn from any Gaussian distribution. The complexity of the algorithm is bounded ...
Santosh Vempala
97
Voted
SIGGRAPH
2010
ACM
15 years 4 months ago
OptiX: a general purpose ray tracing engine
The NVIDIA® OptiX™ ray tracing engine is a programmable system designed for NVIDIA GPUs and other highly parallel architectures. The OptiX engine builds on the key observation ...
Steven G. Parker, James Bigler, Andreas Dietrich, ...