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

N. Takahashi; K. Ishitobi; T. Nishi

doi:10.1016/j.nonrwa.2010.05.007

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

N. Takahashi, K. Ishitobi, T. Nishi

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

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 language	English
Pages (from-to)	4202-4213
Number of pages	12
Journal	Nonlinear Analysis: Real World Applications
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/j.nonrwa.2010.05.007
Publication status	Published - Oct 2010
Externally published	Yes

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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AU - Takahashi, N.

AU - Ishitobi, K.

AU - Nishi, T.

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N2 - 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.

AB - 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.

KW - Cellular neural network

KW - Connected component detection

KW - Convergence

KW - Local regularity

KW - Template

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

Abstract

Keywords

ASJC Scopus subject areas

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