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» Self-improving Algorithms for Convex Hulls
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CGF
2008
128views more  CGF 2008»
14 years 9 months ago
Hierarchical Convex Approximation of 3D Shapes for Fast Region Selection
Given a 3D solid model S represented by a tetrahedral mesh, we describe a novel algorithm to compute a hierarchy of convex polyhedra that tightly enclose S. The hierarchy can be b...
Marco Attene, Michela Mortara, Michela Spagnuolo, ...
CISS
2008
IEEE
15 years 4 months ago
Partial side information problem: Equivalence of two inner bounds
— Consider the two-terminal partial side information problem, where one source is decoded under a distortion measure, while the other acts as a helper. There are two well known i...
Soumya Jana, Richard E. Blahut
DAM
2007
177views more  DAM 2007»
14 years 9 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim
COMPGEOM
2009
ACM
15 years 4 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...
ESA
2004
Springer
117views Algorithms» more  ESA 2004»
15 years 2 months ago
Classroom Examples of Robustness Problems in Geometric Computations
The algorithms of computational geometry are designed for a machine model with exact real arithmetic. Substituting floating-point arithmetic for the assumed real arithmetic may c...
Lutz Kettner, Kurt Mehlhorn, Sylvain Pion, Stefan ...