Faster two dimensional scaled matching

Amihood Amir, Eran Chencinski

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations

Abstract

The rapidly growing need for analysis of digitized images in multimedia systems has lead to a variety of interesting problems in multidimensional pattern matching. One of the problems is that of scaled matching, finding all appearances of a pattern, proportionally enlarged according to an arbitrary real-sized scale, in a given text. The best known algorithm for this problem uses techniques from dictionary matching to solve the problem in O(nm 3 +n2m log m) time using O(nm3 + n2) space, where the text is a two-dimensional n × n array and the pattern is a two-dimensional m × m array. We present a new approach for solving the scaled matching problem improving both the running times and the space requirements. Our algorithm runs in O(n2m) time and uses O(n 2) space. This time includes the preprocessing (O(m3) time and O(m2) space), since the problem is only defined for m ≤ n.

Original languageEnglish
Title of host publicationCombinatorial Pattern Matching - 17th Annual Symposium, CPM 2006, Proceedings
PublisherSpringer Verlag
Pages200-210
Number of pages11
ISBN (Print)3540354557, 9783540354550
DOIs
StatePublished - 2006
Event17th Annual Symposium on Combinatorial Pattern Matching, CPM 2006 - Barcelona, Spain
Duration: 5 Jul 20067 Jul 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4009 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th Annual Symposium on Combinatorial Pattern Matching, CPM 2006
Country/TerritorySpain
CityBarcelona
Period5/07/067/07/06

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