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COMPGEOM
2009
ACM
13 years 11 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy
COMPGEOM
1993
ACM
13 years 8 months ago
Approximating Center Points with Iterated Radon Points
We give a practical and provably good Monte Carlo algorithm for approximating center points. Let P be a set of n points in IRd . A point c ∈ IRd is a β-center point of P if eve...
Kenneth L. Clarkson, David Eppstein, Gary L. Mille...
COMPGEOM
2006
ACM
13 years 10 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...
COMGEO
2010
ACM
13 years 4 months ago
Approximate centerpoints with proofs
We present the IteratedTverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S Rd with running time subexponential in d. The alg...
Gary L. Miller, Donald Sheehy
FSTTCS
2006
Springer
13 years 8 months ago
Normal and Feature Approximations from Noisy Point Clouds
We consider the problem of approximating normal and feature sizes of a surface from point cloud data that may be noisy. These problems are central to many applications dealing wit...
Tamal K. Dey, Jian Sun