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A Systematic Study on Pattern Generative Grammars and Pattern Recognition Algorithms

Research Project

Project/Area Number 01470144
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field Informatics
Research InstitutionTottori University

Principal Investigator

TANIGUCHI Hiroshi  Tottori Univ., Faculty of Eng., Associate Professor, 工学部, 助教授 (90116731)

Co-Investigator(Kenkyū-buntansha) SHIMIZU Tadaaki  Tottori Univ., Faculty of Eng., Research Associate, 工学部, 助手 (80196518)
SUGATA Kazuhiro  Tottori Univ., Faculty of Eng., Professor, 工学部, 教授 (80026020)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 1990: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1989: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsTwo-Dimensional Generative Grammar / Isometric Array Grammar / Two-dimensional Automaton / Pattern Generation / Isometric Array Grammar / 2次元並列オ-トマトン
Research Abstract

In this study, we have introduced some kinds of generative grammars, all of which are subclasses of isometric array grammar (IAG, for short) introduced by A. Rosenfeld, and investigated their generating powers of patterns. In IAG, left-hand and right-hand sides of rewriting rules are required to be isometric (i. e, having the same shape) to avoid the shearing in a generated pattern. A blank symbol (#) is introduced to keep the restriction of isometric. It is well known that a monotonic array grammar (MAG), a context-free array grammar (CFAG) and a regular array grammar (RAG) form a Chomsky-like hierarchy in IAG. Main results of this study are as follows ;
(1) RAGs, which are the lowest subclass of that hierarchy, have rewriting rules of a very simple form. We showed that RAGs can sense a kind of context, and can generate some sets of context-needing patterns by using #-sensing ability, in spite of the simplicity of the form.
(2) We have proposed some kinds of RAG-like grammars, as classes of grammars adding a ability of sensing non #-symbols to RAGs. We showed that the generating powers of these classes are properly more powerful than ones of RAGs. This results shows us that a non #-sensing ability is necessary for RAGs to generate complex patterns.
(3) We have proposed two-kinds of three-way grammars which are subclasses of MAG, and showed that their generating powers of patterns are precisely characterized by some kinds of two-dimensional three-way Turing machines.
(4) We have proposed some kinds of grammars, called up grammars, which consist of couples of IAGs. We showed, for example, that there exists a set of patterns which is generated by a piled up grammar coupled two RAGs but not a CFAG.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (6 results)

All Other

All Publications (6 results)

  • [Publications] Y.Yamamoto,K.Morita,and K.Sugata: "ContextーSensitivity of TwoーDimensional Regular Array Grammars" International Journal of Pattern Recognition and Artificial Intelligence. Vol.3. 295-319 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] K.Morita,Y.Yamamoto,and K.Sugata: "TwoーDimensional ThreeーWay Array Grammars and Their Acceptors" International Journal of Pattern Recognition and Artificial Intelligence. Vol.3. 353-376 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y. Yamamoto, K. Morita and K. Sugata,: "Context-Sensitivity of Two-Dimensional Regular Array Grammars" International Journal of Pattern Recognition and Artificial Intelligence. Vol. 3. 295-319 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] K. Morita, Y. Yamamoto and K. Sugata: "Two-Dimensional Three-way Array Grammars and Their Acceptors" International Journal of Pattern Recognition and Artificial Intelligence. Vol. 3. 353-376 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Y.Yamamoto,K.Morita,and K.Sugata: "ContextーSensitivity of TwoーDimensional Regular Array Grammars" International Journal of Pattern Recognition and Artificial Intelligence. Vol.3. 295-319 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Morita,Y.Yamamoto,and K.Sugata: "TwoーDimensional ThreeーWay Array Grammars and Their Acceptors" International Journal of Pattern Recognition and Artificial Intelligence. Vol.3. 353-376 (1989)

    • Related Report
      1990 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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