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 | |
| Publication status | Published - Oct 1 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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Cite this
Takahashi, N., Ishitobi, K., & Nishi, T. (2010). Sufficient conditions for one-dimensional cellular neural networks to perform connected component detection. Nonlinear Analysis: Real World Applications, 11(5), 4202-4213. https://doi.org/10.1016/j.nonrwa.2010.05.007