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Efficient One Dimensional Real Scaled Matching

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3246))

Abstract

Real Scaled Matching refers to the problem of finding all locations in the text where the pattern, proportionally enlarged according to an arbitrary real-sized scale, appears. Real scaled matching is an important problem that was originally inspired by Computer Vision.

In this paper, we present a new, more precise and realistic, definition for one dimensional real scaled matching, and an efficient algorithm for solving this problem. For a text of length n and a pattern of length m, the algorithm runs in time \(O(n\log m + \sqrt{n} m^{3/2}\sqrt{\log m})\).

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Amir, A., Butman, A., Lewenstein, M., Porat, E., Tsur, D. (2004). Efficient One Dimensional Real Scaled Matching. In: Apostolico, A., Melucci, M. (eds) String Processing and Information Retrieval. SPIRE 2004. Lecture Notes in Computer Science, vol 3246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30213-1_1

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  • DOI: https://doi.org/10.1007/978-3-540-30213-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23210-0

  • Online ISBN: 978-3-540-30213-1

  • eBook Packages: Springer Book Archive

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