Abstract
We consider a problem which can greatly enhance the areas of cursive script recognition and the recognition of printed character sequences. This problem involves recognizing words/strings by processing their noisy subsequences. Let X* be any unknown word from a finite dictionary H. Let U be any arbitrary subsequence of X*. We study the problem of estimating X* by processing Y, a noisy version of U. Y contains substitution, insertion, deletion and generalized transposition errors — the latter occurring when transposed characters are themselves subsequently substituted. We solve the noisy subsequence recognition problem by defining and using the constrained edit distance between X ε H and Y subject to any arbitrary edit constraint involving the number and type of edit operations to be performed. An algorithm to compute this constrained edit distance has been presented. Using these algorithms we present a syntactic Pattern Recognition (PR) scheme which corrects noisy text containing all these types of errors. Experimental results which involve strings of lengths between 40 and 80 with an average of 30.24 deleted characters and an overall average noise of 68.69 % demonstrate the superiority of our system over existing methods.
Partially supported by the Natural Sciences and Engineering Research Council of Canada.
Preview
Unable to display preview. Download preview PDF.
References
P. A. V. Hall and G. R. Dowling, Approximate string matching, Comput. Surveys, 12:381–402 (1980).
R. L. Kashyap and B. J. Oommen, An effective algorithm for string correction using generalized edit distances-I. Description of the algorithm and its optimality, Inform. Sci., 23(2):123–142 (1981).
A. Marzal and E. Vidal, Computation of normalized edit distance and applications, IEEE Trans. on Pat. Anal. and Mach. Intel., PAMI-15:926–932 (1993).
A. Levenshtein, Binary codes capable of correcting deletions, insertions and reversals, Soviet Phys. Dokl., 10:707–710 (1966).
R. Lowrancc and R. A. Wagner, An extension of the string to string correction problem, J. Assoc. Comput. Mach., 22:177–183 (1975).
B. J. Oommen, Recognition of noisy subsequences using constrained edit distances, IEEE Trans. on Pat. Anal. and Mach. Intel., PAMI-9:676–685 (1987).
B. J. Oommen and R. K. S. Loke, Pattern recognition of strings with substitutions, insertions, deletions and generalized transpositions. Unabridged Paper. Available as a Carleton University technical report (1994).
B. J. Oommen and R. K. S. Loke, Noisy subsequence recognition using constrained string editing involving substitutions, insertions, deletions and generalized transpositions. Unabridged Paper. Available as a Carleton University technical report (1994).
J. L. Peterson, Computer programs for detecting and correcting spelling errors, Comm. Assoc. Comput. Mach., 23:676–687 (1980).
D. Sankoff and J. B. Kruskal, Time Warps,String Edits and Macromolecules: The Theory and practice of Sequence Comparison, Addison-Wesley (1983).
R. A. Wagner and M. J. Fischer, The string to string correction problem, J. Assoc. Comput. Mach., 21:168–173 (1974).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Oommen, B.J., Loke, R.K.S. (1995). Noisy subsequence recognition using constrained string editing involving substitutions, insertions, deletions and generalized transpositions. In: Chin, R.T., Ip, H.H.S., Naiman, A.C., Pong, TC. (eds) Image Analysis Applications and Computer Graphics. ICSC 1995. Lecture Notes in Computer Science, vol 1024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60697-1_94
Download citation
DOI: https://doi.org/10.1007/3-540-60697-1_94
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60697-0
Online ISBN: 978-3-540-49298-6
eBook Packages: Springer Book Archive