Parallel congruent regions on a mesh-connected computer

Chang-Sung Jeong, Sun Chul Hwang, Young Je Woo, Sun Mi Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we present a parallel algorithm for solving the congruent region problem of locating all the regions congruent to a test region in a planar figure on a mesh-connected computer(MCC). Given a test region with k edges and a planar figure with n edges, it can be executed in O(√n) time if each edge in the test region has unique length; otherwise in O(k√n) time on MCC with n processing elements(PE’s), and in O(√n) time for both cases using kn PE’s, which is optimal on MCC within constant factor. We shall show that this can be achieved by deriving a new property for checking congruency between two regions which can be implemented efficiently using RAR and RAW operations. We also show that our parallel algorithm can be directly used to solve point set pattern matching by simple reduction to the congruent region problem, and it can be generally implemented on other distributed memory models.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages194-203
Number of pages10
Volume1970
ISBN (Print)3540414290, 9783540414292
Publication statusPublished - 2000
Event7th International Conference on High Performance Computing, HiPC 2000 - Bangalore, India
Duration: 2000 Dec 172000 Dec 20

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1970
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other7th International Conference on High Performance Computing, HiPC 2000
CountryIndia
CityBangalore
Period00/12/1700/12/20

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

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  • Cite this

    Jeong, C-S., Hwang, S. C., Woo, Y. J., & Kim, S. M. (2000). Parallel congruent regions on a mesh-connected computer. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1970, pp. 194-203). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1970). Springer Verlag.