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Algorithmica

, Volume 5, Issue 1–4, pp 65–73 | Cite as

A new algorithm for the largest empty rectangle problem

  • M. Orlowski
Article

Abstract

A rectangleA and a setS ofn points inA are given. We present a new simple algorithm for the so-called largest empty rectangle problem, i.e., the problem of finding a maximum area rectangle contained inA and not containing any point ofS in its interior. The computational complexity of the presented algorithm isO(n logn + s), where s is the number of possible restricted rectangles considered. Moreover, the expected performance isO(n · logn).

Key words

Computational geometry Algorithms Computational complexity Largest empty rectangle problem 

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References

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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • M. Orlowski
    • 1
  1. 1.Council for Scientific and Industrial ResearchNational Research Institute for Mathematical SciencesPretoriaRepublic of South Africa

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