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ISVD
2007
IEEE
13 years 11 months ago
Apollonius diagrams and the Representation of Sounds and Music
We introduce the use of weighted medial graph structures to represent sounds and musical events. Such structures permit the building of hierarchical neighborhood relationships (sy...
Alex McLean, Frederic F. Leymarie, Geraint A. Wigg...
ISVD
2007
IEEE
13 years 11 months ago
Computing the 3D Voronoi Diagram Robustly: An Easy Explanation
Many algorithms exist for computing the 3D Voronoi diagram, but in most cases they assume that the input is in general position. Because of the many degeneracies that arise in 3D ...
Hugo Ledoux
ISVD
2007
IEEE
13 years 11 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