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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
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.
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.
M. Atallah. A linear time algorithm for the Hausdorff distance between convex polygons, Information Processing Letters 17, 207–209, 1983.
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.
M. Crochemore and W. Rytter. Text Algorithms. Oxford University Press, Oxford, UK, 1994.
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.
M. Flickner, H. Sawhney, W. Niblack, J. Ashley, Q. Huang, B. Dom, M. Gorkani, J. Hafner, D. Petkovic, and W. Equitz.
R. Giancarlo. A generalization of suffix trees to square matrices, with applications. SIAM J. on Computing, 24:520–562, 1995.
J. Karkkäinen and E. Ukkonen. Two and higher dimensional pattern matching in optimal expected time. In Proc. SODA’94, pages 715–723. SIAM, 1994.
K. Krithivasan. Efficient two-dimensional parallel and serial approximate pattern matching. Technical Report CAR-TR-259, University of Maryland, 1987.
K. Krithivasan and R. Sitalakshmi. Efficient two-dimensional pattern matching in the presence of errors. Information Sciences, 43:169–184, 1987.
K. Park. Analysis of two dimensional approximate pattern matching algorithms. In Proc. CPM’96, LNCS 1075, pages 335–347, 1996.
S. Ranka and T. Heywood. Two-dimensional pattern matching with k mismatches. Pattern recognition, 24(1):31–40, 1991.
P. Sellers. The theory and computation of evolutionary distances: pattern recognition. J. of Algorithms, 1:359–373, 1980.
P. Suetens, P. Fua, and A. Hanson. Computational Strategies for Object Recognition, ACM Computing Surveys, 24:5–62, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/3-540-68535-9_36
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64824-6
Online ISBN: 978-3-540-68535-7
eBook Packages: Springer Book Archive