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ISVD
2007
IEEE
15 years 9 months ago
From the Kneser-Poulsen conjecture to ball-polyhedra via Voronoi diagrams
A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a fi...
Károly Bezdek
3DPVT
2002
IEEE
108views Visualization» more  3DPVT 2002»
15 years 8 months ago
Probabilistic 3D Data Fusion for Adaptive Resolution Surface Generation
In this paper we present an algorithm for adaptive resolution integration of 3D data collected from multiple distributed sensors. The input to the algorithm is a set of 3D surface...
Andrew E. Johnson, Roberto Manduchi
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
15 years 8 months ago
Sequentially updated Probability Collectives
— Multi-agent coordination problems can be cast as distributed optimization tasks. Probability Collectives (PCs) are techniques that deal with such problems in discrete and conti...
Michalis Smyrnakis, David S. Leslie
112
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ALENEX
2003
139views Algorithms» more  ALENEX 2003»
15 years 4 months ago
Interpolation over Light Fields with Applications in Computer Graphics
We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each dire...
F. Betul Atalay, David M. Mount
DCG
2010
171views more  DCG 2010»
15 years 3 months ago
Bregman Voronoi Diagrams
The Voronoi diagram of a point set is a fundamental geometric structure that partitions the space into elementary regions of influence defining a discrete proximity graph and dual...
Jean-Daniel Boissonnat, Frank Nielsen, Richard Noc...