Given a finite point set $P$ in ${\mathbb R}^d$ and $piercing $d\geq 3$ is a weak $epsilon-net of cardinality . This is the first improvement of the bound of $O$ that was obtained in 1994 by Chazelle,Edelsbrunner, Grigni, Guibas, Sharir, and Welzl for general point sets indimension $d=3$

Author(s) : Natan Rubin

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Keywords : point - weak - epsilon - - grigni -

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