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    Article

    Practical Methods for Shape Fitting and Kinetic Data Structures using Coresets

    The notion of ε-kernel was introduced by Agarwal et al. (J. ACM 51:606–635, 2004) to set up a unified framework for computing various extent measures of a point set P approximately. Roughly speaking, a subset Q

    Hai Yu, Pankaj K. Agarwal, Raghunath Poreddy, Kasturi R. Varadarajan in Algorithmica (2008)

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    Article

    Approximation Algorithms for a k-Line Center

    Given a set P of n points in ℝd and an integer k ≥ 1, let w* denote the minimum value so that P can be covered by k congruent cylinders of radius w*. We describe a randomized algorithm that, given P and an ε > ...

    Pankaj K. Agarwal, Cecilia M. Procopiuc, Kasturi R. Varadarajan in Algorithmica (2005)

  3. Article

    High-Dimensional Shape Fitting in Linear Time

    Let $P$ be a set of $n$ points in $\Re^d$. The {\em radius} of a $k$-dimensional flat ${\cal F}$ with respect to $P$, which we denote by ${\cal RD}({\cal F},P)$, is defined to be $\max_{p \...

    Sariel Har-Peled, Kasturi R. Varadarajan in Discrete & Computational Geometry (2004)

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    Chapter and Conference Paper

    Approximation Algorithms for k-Line Center

    Given a set P of n points in ℝd and an integer k ≥ 1, let w* denote the minimum value so that P can be covered by k cylinders of radius at most w*. We describe an algorithm that, given P and an ɛ > 0, computes k ...

    Pankaj K. Agarwal, Cecilia M. Procopiuc, Kasturi R. Varadarajan in Algorithms — ESA 2002 (2002)