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WADS 1991: Algorithms and Data Structures pp 249-260

An optimal algorithm for the rectilinear link center of a rectilinear polygon

• Bengt J. Nilsson
• Sven Schuierer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 519)

Abstract

The problem of finding the center of an area has been studied extensively in recent years. O(nlogn) time upper bounds have been given for the link center and the geodesic center of a simple polygon.

We consider the rectilinear case of this problem, and give a linear time algorithm to compute the rectilinear link center of a simple rectilinear polygon. As a consequence we also obtain a linear time solution for the rectilinear link radius problem. To our knowledge this is the first optimal algorithm which solves a non-trivial center problem.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

• Bengt J. Nilsson
• 1
• Sven Schuierer
• 1
1. 1.Institut für InformatikUniversität FreiburgFreiburgFed. Rep. of Germany