Faster two-dimensional pattern matching with rotations

Amihood Amir; Oren Kapah; Dekel Tsur

doi:10.1016/j.tcs.2006.09.012

Faster two-dimensional pattern matching with rotations

Amihood Amir, Oren Kapah, Dekel Tsur

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The most efficient currently known algorithms for two-dimensional pattern matching with rotations have a worst case time complexity of O (n² m³), where the size of the text is n × n and the size of the pattern is m × m. In this paper we present a new algorithm for the problem whose running time is O (n² m²).

Original language	English
Pages (from-to)	196-204
Number of pages	9
Journal	Theoretical Computer Science
Volume	368
Issue number	3
DOIs	https://doi.org/10.1016/j.tcs.2006.09.012
State	Published - 10 Dec 2006

Bibliographical note

Funding Information:
∗ Corresponding author. Tel.: +972 3 531 8770; fax: +972 3 736 0498. E-mail addresses: [email protected] (A. Amir), [email protected] (O. Kapah), [email protected] (D. Tsur). 1Partly supported by NSF Grant CCR-01-04494 and ISF Grant 282/01.

Funding

∗ Corresponding author. Tel.: +972 3 531 8770; fax: +972 3 736 0498. E-mail addresses: [email protected] (A. Amir), [email protected] (O. Kapah), [email protected] (D. Tsur). 1Partly supported by NSF Grant CCR-01-04494 and ISF Grant 282/01.

Funders	Funder number
National Science Foundation	CCR-01-04494
Israel Science Foundation	282/01

Keywords

Design and analysis of algorithms
Rotation
Two-dimensional pattern matching

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10.1016/j.tcs.2006.09.012

Cite this

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abstract = "The most efficient currently known algorithms for two-dimensional pattern matching with rotations have a worst case time complexity of O (n2 m3), where the size of the text is n × n and the size of the pattern is m × m. In this paper we present a new algorithm for the problem whose running time is O (n2 m2).",

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AU - Kapah, Oren

AU - Tsur, Dekel

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N2 - The most efficient currently known algorithms for two-dimensional pattern matching with rotations have a worst case time complexity of O (n2 m3), where the size of the text is n × n and the size of the pattern is m × m. In this paper we present a new algorithm for the problem whose running time is O (n2 m2).

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Faster two-dimensional pattern matching with rotations

Abstract

Bibliographical note

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Keywords

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