Approximating extent measures of points.

We present a general technique for approximating various descriptors of the extent of a set P of n points in Rd when the dimension d is an arbitrary fixed constant. For a given extent measure μ and a parameter ϵ > 0, it computes in time O(n + 1/ϵO(1)) a subset Q ⊆ P of size 1/...

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Bibliographic Details

Published in:	Journal of the ACM 51, 4 (2004).
Main Author:	Agarwal, Pankaj K.
Format:	Article
Language:	English
Subjects:	Theory of computation. Analysis of algorithms and problem complexity. Nonnumerical algorithms and problems. Geometrical problems and computations. Mathematics of computing. Discrete mathematics. Combinatorics. Computing methodologies. Computer graphics. Computational geometry and object modeling. Algorithms. Theory.