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Chain code picture languages

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Graph-Grammars and Their Application to Computer Science (Graph Grammars 1982)

Part of the book series: Lecture Notes in Computer Science ((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.

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Author information

Authors and Affiliations

  1. Institutes for Information Processing, Technical University of Graz, A-8010, Graz, Austria

    Hermann A. Maurer & Emo Welzl

  2. Department of Mathematics, University of Leiden, 2300, R A Leiden, The Netherlands

    Grzegorz Rozenberg

Authors
  1. Hermann A. Maurer
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  2. Grzegorz Rozenberg
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  3. Emo Welzl
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Editor information

Hartmut Ehrig Manfred Nagl Grzegorz Rozenberg

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© 1983 Springer-Verlag Berlin Heidelberg

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Maurer, H.A., Rozenberg, G., Welzl, E. (1983). Chain code picture languages. In: Ehrig, H., Nagl, M., Rozenberg, G. (eds) Graph-Grammars and Their Application to Computer Science. Graph Grammars 1982. Lecture Notes in Computer Science, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0000110

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  • DOI: https://doi.org/10.1007/BFb0000110

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12310-1

  • Online ISBN: 978-3-540-39897-4

  • eBook Packages: Springer Book Archive

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