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Template-Based Pattern Matching in Two-Dimensional Arrays

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Combinatorial Image Analysis (IWCIA 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10256))

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Abstract

We propose a framework for pattern matching in two-dimensional arrays of symbols where the patterns are described by an extended version of the regular matrix grammar and the size of desired matches is prescribed. We then demonstrate how to reformulate the 2D pattern matching as the one-dimensional pattern matching (string pattern matching), and study the efficiency of the string pattern matching algorithm based on pattern complexity with respect to two finite automaton models: (1) the classical finite automaton and (2) the finite automaton equipped with two scanning heads placed in a fixed distance. We also identify several subclasses of the considered templates for which the framework yields a more efficient matching than the naive algorithm.

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Notes

  1. 1.

    The proposed automaton model g2h-DFA is different from the traditional two-headed finite automaton that has two read-only bidirectional heads.

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Acknowledgments

Han was supported by the Basic Science Research Program through NRF funded by MEST (2015R1D1A1A01060097) and the IITP grant funded by the Korea government (MSIP) (R0124-16-0002), and Průša was supported by the Czech Science Foundation under grant no. 15-04960S.

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Authors and Affiliations

  1. Department of Computer Science, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul, 120-749, Republic of Korea

    Yo-Sub Han

  2. Faculty of Electrical Engineering, Czech Technical University, Karlovo náměstí 13, 121 35, Prague 2, Czech Republic

    Daniel Průša

  3. Czech Institute of Informatics, Robotics and Cybernetics, Czech Technical University, Zikova 1903/4, 166 36, Prague 6, Czech Republic

    Daniel Průša

Authors
  1. Yo-Sub Han
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  2. Daniel Průša
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Correspondence to Daniel Průša .

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Editors and Affiliations

  1. SUNY Buffalo State, Buffalo, New York, USA

    Valentin E. Brimkov

  2. Department of Applied Professional Studies, SUNY Fredonia, Fredonia, New York, USA

    Reneta P. Barneva

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Han, YS., Průša, D. (2017). Template-Based Pattern Matching in Two-Dimensional Arrays. In: Brimkov, V., Barneva, R. (eds) Combinatorial Image Analysis. IWCIA 2017. Lecture Notes in Computer Science(), vol 10256. Springer, Cham. https://doi.org/10.1007/978-3-319-59108-7_7

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  • DOI: https://doi.org/10.1007/978-3-319-59108-7_7

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