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Chain code picture languages

  • Hermann A. Maurer
  • Grzegorz Rozenberg
  • Emo Welzl
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 153)

Abstract

A picture is a connected set of axis parallel unit lines from the Cartesian plane considered as a square grid. A word over the alphabet {l,r,u,d} is a picture description in the sense that it represents a traversal of a picture where the interpretation of the symbols l,r,u,d is: l — go (and draw) one unit line to the left of the current point; r,u, and d are interpreted analogously with “left” replaced by “right”, “up”, and “down”, respectively. This is one of the chain codemodels.

A set of picture descriptions forms a picture description language.

We investigate the basic properties of pictures and picture description languages from the formal language theory point of view. The results presented are concerned with the basic Chomsky hierarchy of picture description languages, basic decision problems and the complexity of pictures.

The study should result in a better insight into the mathematical structure of picture languages generated by string grammars from the Chomsky hierarchy.

Keywords

Regular Language Chain Code Descriptional Complexity Formal Language Theory Picture Description 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Hermann A. Maurer
    • 1
  • Grzegorz Rozenberg
    • 2
  • Emo Welzl
    • 1
  1. 1.Institutes for Information ProcessingTechnical University of GrazGrazAustria
  2. 2.Department of MathematicsUniversity of LeidenR A LeidenThe Netherlands

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