Locating an Obnoxious Line among Planar Objects

  • Danny Z. Chen
  • Haitao Wang
Conference paper

DOI: 10.1007/978-3-642-10631-6_75

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5878)
Cite this paper as:
Chen D.Z., Wang H. (2009) Locating an Obnoxious Line among Planar Objects. In: Dong Y., Du DZ., Ibarra O. (eds) Algorithms and Computation. ISAAC 2009. Lecture Notes in Computer Science, vol 5878. Springer, Berlin, Heidelberg

Abstract

Given a set P of n points in the plane such that each point has a positive weight, we study the problem of finding an obnoxious line that intersects the convex hull of P and maximizes the minimum weighted Euclidean distance to all points of P. We also consider a variant of this problem whose input is a set of m polygons with totally n vertices in the plane such that each polygon has a positive weight and whose goal is to locate an obnoxious line with respect to the weighted polygons. We improve the previous results for both problems. Our algorithms are based on new geometric observations and interesting algorithmic techniques.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Danny Z. Chen
    • 1
  • Haitao Wang
    • 1
  1. 1.Department of Computer Science and EngineeringUniversity of Notre DameNotre DameUSA

Personalised recommendations