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» Self-improving Algorithms for Convex Hulls
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CGF
2008
128views more  CGF 2008»
15 years 4 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 10 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»
15 years 4 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 10 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 9 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 ...