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» Intersecting convex sets by rays
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COMPGEOM
2007
ACM
14 years 1 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
CGF
2008
141views more  CGF 2008»
13 years 9 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»
14 years 2 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
FOCS
2010
IEEE
13 years 7 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
SIGGRAPH
2010
ACM
14 years 2 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, ...