Consideration on the Recognizability of Three-Dimensional Patterns

DOI Open Access

Description

Due to the advances in computer vision, robotics, and so forth, it has become increasingly apparent that the study of three-dimensional pattern processing should be very important. Thus, the study of three-dimensional automata as the computational model of three-dimensional information processing has been significant. During the past about thirty years, automata on a three-dimensional tape have been obtained. On the other hand, it is well-known that whether or not the pattern on a two- or three-dimensional rectangular tape is connected can be decided by a deterministic onemarker finite automata. As far as we know, however, it is unknown whether a similar result holds for recognition of the connectedness of patterns on three-dimensional arbitrarily shaped tape. In this paper, we deal with the recognizability of three-dimensional patterns, and consider the recognizability of three-dimensional connected tapes by alternating Turing machines and arbitrarily shaped tapes by k marker finite automata.

Journal

Details 詳細情報について

  • CRID
    1390564238096157056
  • DOI
    10.5954/icarob.2017.os21-1
  • ISSN
    21887829
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • OpenAIRE
  • Abstract License Flag
    Disallowed

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