Optimal core-sets for balls

  • Authors:
  • Mihai Bădoiu;Kenneth L. Clarkson

  • Affiliations:
  • MIT Laboratory for Computer Science, 545 Technology Square, NE43-371, Cambridge, MA 02139-3594, USA;Bell Labs, 600 Mountain Avenue, Murray Hill, NJ 07974, USA

  • Venue:
  • Computational Geometry: Theory and Applications
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

Given a set of points P@?R^d and value @e0, an @e-core-setS@?P has the property that the smallest ball containing S has radius within 1+@e of the radius of the smallest ball containing P. This paper shows that any point set has an @e-core-set of size @?1/@e@?, and this bound is tight in the worst case. Some experimental results are also given, comparing this algorithm with a previous one, and with a more powerful, but slower one.