Approximation Algorithm for the Largest Area Convex Hull of Same Size Non-overlapping Axis-Aligned Squares

  • Wenqi Ju
  • Jun Luo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6213)


Given a set of n equal size and non-overlapping axis-aligned squares, we need to choose exactly one point in each square to make the area of a convex hull of the resulting point set as large as possible. Previous algorithm [10] on this problem gives an optimal algorithm with O(n 3) running time. In this paper, we propose an approximation algorithm which runs in O(nlogn) time and gives a convex hull with area larger than the area of the optimal convex hull minus the area of one square.


Convex Hull Imprecise Data Computational Geometry 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Wenqi Ju
    • 1
    • 2
  • Jun Luo
    • 1
  1. 1.Shenzhen Institutes of Advanced TechnologyChinese Academy of SciencesChina
  2. 2.Institute of Computing TechnologyChinese Academy of SciencesChina

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