Abstract
Cyclic strings are sequences with no beginning or end, which are useful for modelling different objects in pattern recognition. For instance, in digital image analysis, strings can represent contours of 2D objects. Several methods have been described to compute the dissimilarity of two cyclic strings such as the cyclic edit distance. However, no method has been provided that takes into account the normalization of the cyclic edit distance. In this paper, we propose an algorithm to compute normalized cyclic edit distances, and illustrate the performance of the method in practice.
This work has been supported by the the Spanish Ministerio de Ciencia y Tecnología and FEDER under grant TIC2002-02684.
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References
Marzal, A., Vidal, E.: Computation of normalized edit distances and applications. IEEE Transactions on Pattern Analysis and Machine Intelligence 15(9), 926–932 (1993)
Marzal, A., Mollineda, R., Peris, G., Vidal, E.: Pattern Recognition and String Matching. Kluwer Academic, Dordrecht (2002)
Marzal, A., Barrachina, S.: Speeding up the computation of the edit distance for cyclic strings. In: International Conference on Pattern Recognition, pp. 271–280 (2000)
Arslan, A.N., Egecioglu, O.: An efficient uniform-cost normalized edit distance algorithm. In: Proc. 6-th String Processing and Information Retrieval Conference (SPIRE 1999), pp. 8–15 (1999)
Arslan, A.N., Egecioglu, O.: Efficient Algorithms for Normalized Edit Distance. Journal of Discrete Algorithms 1(1), 1 (2000)
Sankoff, D., Kruskal, J. (eds.): Time Warps, String Edits, and Macromolecules: The Theory and Practice of Sequence Comparison. Addison-Wesley, Reading (1983)
Vidal, E., Marzal, A., Aibar, P.: Fast computation of normalized edit distance. IEEE Transactions on Pattern Analysis and Machine Intelligence 17(9), 899–902 (1995)
Peris, G., Marzal, A.: Fast Computation of Cyclic Edit Distances: Dependence on the Cost Functions. In: Proceedings del IX Symposium Nacional de Reconocimiento de Formas y Análisis de Imágenes, AERFAI, vol. 1 (2001)
Peris, G., Marzal, A.: Fast Cyclic Edit Distance Computation with Weighted Edit Costs in Classification. In: Proc. of the International Conference on Pattern Recognition, ICPR 2002, vol. 4 (2002)
Bunke, H., Bühler, H.: Applications of Approximate String Matching to 2D Shape Recognition. Pattern Recognition 26(12), 1797–1812 (1993)
Maes, M.: On a cyclic string-to-string correction problem. Information Processing Letters 35, 73–78 (1990)
Mollineda, R.A., Vidal, E., Casacuberta, F.: Efficient techniques for a very accurate measurement of dissimilarities between cyclic patterns. In: Amin, A., Pudil, P., Ferri, F., Iñesta, J.M. (eds.) SPR 2000 and SSPR 2000. LNCS, vol. 1876, pp. 121–126. Springer, Heidelberg (2000)
Wagner, R.A., Fischer, M.J.: The string-to-string correction problem. Journal of ACM 21(1), 168–173 (1974)
Dinkelbach, W.: On nonlinear fractional programming. Management Science 18(7), 492–498 (1967)
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Marzal, A., Peris, G. (2004). Normalized Cyclic Edit Distances: An Efficient Algorithm. In: Conejo, R., Urretavizcaya, M., Pérez-de-la-Cruz, JL. (eds) Current Topics in Artificial Intelligence. TTIA 2003. Lecture Notes in Computer Science(), vol 3040. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25945-9_43
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DOI: https://doi.org/10.1007/978-3-540-25945-9_43
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