Sufficient conditions for one-dimensional cellular neural networks to perform connected component detection

N. Takahashi, K. Ishitobi, T. Nishi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It is well known that one-dimensional cellular neural networks (1D CNNs) with the template A=[1,2,-1] can perform connected component detection (CCD). However, this has been confirmed only by numerical and laboratory experiments. In this paper, sufficient conditions for 1D CNNs to perform CCD are obtained through theoretical analysis. Main result shows that a wide class of templates including A=[1,2,-1] can be used for CCD.

Original languageEnglish
Pages (from-to)4202-4213
Number of pages12
JournalNonlinear Analysis: Real World Applications
Volume11
Issue number5
DOIs
Publication statusPublished - Oct 1 2010
Externally publishedYes

Keywords

  • Cellular neural network
  • Connected component detection
  • Convergence
  • Local regularity
  • Template

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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