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Similarity in Two-Dimensional Strings

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1449))

Abstract

In this paper we discuss how to compute the edit distance (or similarity) between two images. We present new similarity measures and how to compute them. They can be used to perform more general two-dimensional approximate pattern matching. Previous work on two-dimensional approximate string matching either work with only substitutions or a restricted edit distance that allows only some type of errors.

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References

  1. A. Amir and M. Farach. Efficient 2-dimensional approximate matching of non-rectangular figures. In Proc. SODA’91, pages 212–223, San Francisco, CA, Jan 1991.

    Google Scholar 

  2. A. Amir and G. Landau. Fast parallel and serial multidimensional approximate array matching. Theoretical Computer Science, 81:97–115, 1991. Also as report CS-TR-2288, Dept. of Computer Science, Univ. of Maryland, 1989.

    Article  MathSciNet  Google Scholar 

  3. M. Atallah. A linear time algorithm for the Hausdorff distance between convex polygons, Information Processing Letters 17, 207–209, 1983.

    Article  MathSciNet  Google Scholar 

  4. R. Baeza-Yates and G. Navarro. Fast two-dimensional approximate string matching. In LATIN’98, Campinas, Brazil, April 1998. Springer-Verlag LNCS 1380, edited by C. Lucchesi and A. Moura, 341–351.

    Google Scholar 

  5. M. Crochemore and W. Rytter. Text Algorithms. Oxford University Press, Oxford, UK, 1994.

    MATH  Google Scholar 

  6. C. Faloutsos, R. Barber, M. Flickner, J. Hafner, W. Niblack, D. Petkovic, and W. Equitz. Efficient and effective querying by image content. J. of Intelligent Information Systems, 3:231–262, 1994.

    Article  Google Scholar 

  7. M. Flickner, H. Sawhney, W. Niblack, J. Ashley, Q. Huang, B. Dom, M. Gorkani, J. Hafner, D. Petkovic, and W. Equitz.

    Google Scholar 

  8. R. Giancarlo. A generalization of suffix trees to square matrices, with applications. SIAM J. on Computing, 24:520–562, 1995.

    Article  MathSciNet  Google Scholar 

  9. J. Karkkäinen and E. Ukkonen. Two and higher dimensional pattern matching in optimal expected time. In Proc. SODA’94, pages 715–723. SIAM, 1994.

    Google Scholar 

  10. K. Krithivasan. Efficient two-dimensional parallel and serial approximate pattern matching. Technical Report CAR-TR-259, University of Maryland, 1987.

    Google Scholar 

  11. K. Krithivasan and R. Sitalakshmi. Efficient two-dimensional pattern matching in the presence of errors. Information Sciences, 43:169–184, 1987.

    Article  Google Scholar 

  12. K. Park. Analysis of two dimensional approximate pattern matching algorithms. In Proc. CPM’96, LNCS 1075, pages 335–347, 1996.

    Google Scholar 

  13. S. Ranka and T. Heywood. Two-dimensional pattern matching with k mismatches. Pattern recognition, 24(1):31–40, 1991.

    Article  MathSciNet  Google Scholar 

  14. P. Sellers. The theory and computation of evolutionary distances: pattern recognition. J. of Algorithms, 1:359–373, 1980.

    Article  MathSciNet  Google Scholar 

  15. P. Suetens, P. Fua, and A. Hanson. Computational Strategies for Object Recognition, ACM Computing Surveys, 24:5–62, 1992.

    Article  Google Scholar 

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© 1998 Springer-Verlag Berlin Heidelberg

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Baeza-Yates, R.A. (1998). Similarity in Two-Dimensional Strings. In: Hsu, WL., Kao, MY. (eds) Computing and Combinatorics. COCOON 1998. Lecture Notes in Computer Science, vol 1449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-68535-9_36

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  • DOI: https://doi.org/10.1007/3-540-68535-9_36

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64824-6

  • Online ISBN: 978-3-540-68535-7

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