Efficient one-dimensional real scaled matching

  • Authors:
  • Amihood Amir;Ayelet Butman;Moshe Lewenstein;Ely Porat;Dekel Tsur

  • Affiliations:
  • Bar-Ilan University and Georgia Tech, Israel;Holon Academic Institute of Technology, Israel;Bar-Ilan University, Israel;Bar-Ilan University, Israel;Bern-Gurion University, Israel

  • Venue:
  • Journal of Discrete Algorithms
  • Year:
  • 2007

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Abstract

Real Scaled Matching is 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(nlogm+nm^3^/^2logm).