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Elastic Labels on the Perimeter of a Rectangle

  • Claudia Iturriaga
  • Anna Lubiw
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1547)

Abstract

An important and challenging task in cartography is the labeling of maps-attaching text to geographic features. Usually, the features to be labeled are regions, lines, and points on a map. One of the traditional formulations of the problem of labeling points is the point-feature-label placement problem, where we are given a set of points in the plane, and an axis-parallel rectangular label associated with each point, and the problem is to place each label with one corner at its associated point such that no two labels overlap. [KIm88, FWa91, MSh91, KRa92] This problem is known to be NP-complete. There are approximation algorithms when the problem consists of scaling the labels.

Keywords

Approximation Algorithm Polynomial Time Algorithm Traditional Formulation Packing Problem Geographic Feature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [FWa91]
    M. Formann and F. Wagner. A packing problem with applications in lettering of maps. Proceedings of the 7th ACM Symposium on Computational Geometry. (1991) 281–288.Google Scholar
  2. [KIm88]
    T. Kato and H. Imai. The NP-completeness of the character placement problem of 2 or 3 degrees of freedom. Record of Joint Conference of Electrical and Electronic engineers in Kyushu. (1988), 1138. In Japanese.Google Scholar
  3. [KRa92]
    D. Knuth and A. Raghunathan. The problem of compatible representatives. SIAM Disc. Math. (1992) 5(3), 422–427.zbMATHCrossRefMathSciNetGoogle Scholar
  4. [ILu97a]
    C. Iturriaga and A. Lubiw. NP-hardness of some map labeling problems. Technical Report CS-97-18. University of Waterloo (1997).Google Scholar
  5. [ILu97b]
    C. Iturriaga and A. Lubiw. Elastic labels: the two-axis case. In _G. Di Battista editor, Graph Drawing (Proc. GD’97). vol. 1353 of Lecture Notes in Computer Science. Springer-Verlag. (1998), 181–192.CrossRefGoogle Scholar
  6. [MSh91]
    J. Marks and S. Shieber. The computational complexity of cartographic label placement. Technical Report CRCT-05-91. Harvard University (1991).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Claudia Iturriaga
    • 1
  • Anna Lubiw
    • 1
  1. 1.Dept.of Computer ScienceUniversity of WaterlooCanada

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