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A language for two-dimensional digital picture processing

Authors:

Patrick Shen-Pei Wang,

William I. GroskyAuthors Info & Claims

ACM SIGGRAPH Computer Graphics, Volume 10, Issue 1

Pages 106 - 112

https://doi.org/10.1145/957197.804740

Published: 26 April 1976 Publication History

Abstract

A new system, that of matrix grammars, for two-dimensional pattern processing, is introduced. A hierarchy, induced on Chomsky's is found. Language operations such as union, catenation (row and column), Kleene's closure (row and column), and homomorphisms are investigated. It is found that the smallest class of these languages may serve as the class of regular arrays, which is defined as the smallest class of arrays closed under union, catenation (row and column) and Kleene's closure (row and column). Eight possible ways of defining a matrix language are discussed and it is suggested that one of them may lead to a normal form for matrix grammars. The method is advantageous over others on several points. Perhaps the most interesting of all is that it provides a compromise between sequential methods which take too much time for large arrays and parallel methods which usually take too much hardware for large arrays.

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Cited By

Schrack G(1980)Computer graphics: A keyword-indexed bibliography for the years 1976, 1977, and 1978Computer Graphics and Image Processing10.1016/S0146-664X(80)80003-714:1(24-79)Online publication date: Sep-1980
https://doi.org/10.1016/S0146-664X(80)80003-7
Siromoney RRozenberg GSalomaa A(1986)Array Languages and Lindenmayer Systems —A SurveyThe Book of L10.1007/978-3-642-95486-3_35(413-426)Online publication date: 1986
https://doi.org/10.1007/978-3-642-95486-3_35
Wang PGosden JJohnson O(1976)Formal properties of sequential/parallel matrix languagesProceedings of the 1976 annual conference10.1145/800191.805515(12-16)Online publication date: 20-Oct-1976
https://dl.acm.org/doi/10.1145/800191.805515
Show More Cited By

Index Terms

A language for two-dimensional digital picture processing
1. Human-centered computing
  1. Human computer interaction (HCI)
    1. Interaction techniques
2. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Computations on matrices

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Information

Published In

cover image ACM SIGGRAPH Computer Graphics

ACM SIGGRAPH Computer Graphics Volume 10, Issue 1

Spring 1976

128 pages

ISSN:0097-8930

DOI:10.1145/957197

Issue’s Table of Contents

The papers of the ACM symposium on Graphic languages
April 1976
132 pages
ISBN:9781450374446
DOI:10.1145/800143
Chairmen:
Robert C. Larkin,
Toby Berk

Copyright © 1976 Authors.

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 26 April 1976

Published in SIGGRAPH Volume 10, Issue 1

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Cited By

Schrack G(1980)Computer graphics: A keyword-indexed bibliography for the years 1976, 1977, and 1978Computer Graphics and Image Processing10.1016/S0146-664X(80)80003-714:1(24-79)Online publication date: Sep-1980
https://doi.org/10.1016/S0146-664X(80)80003-7
Siromoney RRozenberg GSalomaa A(1986)Array Languages and Lindenmayer Systems —A SurveyThe Book of L10.1007/978-3-642-95486-3_35(413-426)Online publication date: 1986
https://doi.org/10.1007/978-3-642-95486-3_35
Wang PGosden JJohnson O(1976)Formal properties of sequential/parallel matrix languagesProceedings of the 1976 annual conference10.1145/800191.805515(12-16)Online publication date: 20-Oct-1976
https://dl.acm.org/doi/10.1145/800191.805515

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