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CHARACTERISTIC OF MUTUALLY COUPLED TWO-LAYER CNN AND ITS STABILITY

Department of Electrical and Electronic Engineering, Tokushima University, Minami-Josanjima 2-1, Tokushima, 770-8506, Japan

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YOSHIFUMI NISHIO

Department of Electrical and Electronic Engineering, Tokushima University, Minami-Josanjima 2-1, Tokushima, 770-8506, Japan

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, and

AKIO USHIDA

Department of Electrical and Electronic Engineering, Tokushima University, Minami-Josanjima 2-1, Tokushima, 770-8506, Japan

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https://doi.org/10.1142/S0218126603000982Cited by:3 (Source: Crossref)

Abstract

This paper presents some interesting image processing applications with the mutually coupled two-layer Cellular Neural Networks (CNNs). We found that the two-layer CNNs are very useful compared to single layer CNNs in some applications such as center point detection, skeletonization, and so on. We also focus our discussions on both their transients and operations. In addition, the stability of the two-layer CNNs with mutually coupled symmetric templates is also discussed based on those of decoupling CNN technique.

Keywords:

References

L. O. Chua and L. Yang, IEEE Trans. Circuits Syst. 35(10), 1257 (1988), DOI: 10.1109/31.7600. Crossref, Google Scholar
T. Roska and L. O. Chua, IEEE Trans. Circuits Syst. 40(3), 163 (1993). Crossref, Google Scholar
L. O. Chua and T. Roska, IEEE Trans. Circuits Syst. 40(3), 147 (1993). Crossref, Google Scholar
F. Werblin, T. Roska and L. O. Chua, Int. J. Circuit Theor. Appl. 23(6), 541 (1995), DOI: 10.1002/cta.4490230602. Crossref, Web of Science, Google Scholar
H. Harrer and J. A. Nossek, Skeletonization: A new application for discrete-time cellular neural networks using time-variant templates, Proc. IEEE Int. Symp. Circuits & Syst. pp. 2897–2900. Google Scholar
D. Yuet al., On the application of cellular automata to image thinning with cellular neural network, Proc. IEEE Int. Workshop Cellular Neural Networks and Their Applicat., CNNA-92 pp. 210–215. Google Scholar
T. Matsumotoet al., Several image processing examples by CNN, Proc. IEEE Int. Workshop Cellular Neural Networks and Their Applicat., CNNA-90 pp. 100–112. Google Scholar
P. L. Ventianeret al., IEEE Trans. Circuits Syst. 42(5), 278 (1995). Crossref, Google Scholar
T. Roska, L. Kek, L. Nemes, A. Zarandy, and P. Szolgay, "CNN software library (templates and algorithms)", Analogical and Neural Computing Laboratory, Computer and Automation Institute of the Hungarian Academy of Sciences, Version 7.3, 1999 . Google Scholar
Z. H. Yang, Y. Nishio and A. Ushida, Templates and algorithms for two-layer cellular neural networks, Proc. 2002 Int. Joint Conf. on Neural Networks pp. 1946–1951. Google Scholar
L. O. Chuaet al., IEEE Trans. Circuits Syst. 42(10), 559 (1995). Crossref, Google Scholar
Z. H. Yang, Y. Nishio and A. Ushida, A model of nonlinear phenomena: A unified framework two layer CNN, Proc. 2001 Int. Technical Conf. on Circuits/Systems, Computer and Communications pp. 1288–1291. Google Scholar
L. Goraset al., IEEE Trans. Circuits Syst. 42(10), 602 (1995). Crossref, Google Scholar
G. Manganaro , P. Arena and L. Fortuna , Cellular Neural Networks ( Springer-Verlag , Berlin, Heidelberg , 1999 ) . Crossref, Google Scholar
M. J. Ogorzaleket al., IEEE Trans. Circuits Syst. 42(10), 706 (1995). Crossref, Google Scholar
L. Pivka, IEEE Trans. Circuits Syst. 42(10), 638 (1995). Crossref, Google Scholar
P. Thiranet al., IEEE Trans. Circuits Syst. 42(10), 757 (1995). Crossref, Google Scholar
S. Majorana and L. O. Chua, Int. J. Circuit Theor. Appl. 26(6), 567 (1998). Crossref, Web of Science, Google Scholar
C. W. Wu, L. O. Chua and T. Roska, IEEE Trans. Circuits Syst. II: Analog and Digital Signal Processing 39(7), 488 (1992), DOI: 10.1109/82.160175. Crossref, Web of Science, Google Scholar
C. Botoca, An associative memory using a two layer cellular neural network, part I, Proc. the International Conference SCS 95 pp. 121–124. Google Scholar
B. Siemiatkowska, A highly parallel method for mapping and navigation of an autonomous mobile robot, Proc. Int. Conf. on Robotics and Automation pp. 2796–2801. Google Scholar
C. W. Wu and L. O. Chua, IEEE Trans. Circuits Syst. 44(4), 370 (1997). Google Scholar
L. O. Chua and T. Roska, IEEE Trans. Circuits Syst. 37(12), 1520 (1990), DOI: 10.1109/31.101272. Crossref, Google Scholar
L. O. Chua and C. W. Wu, Int. J. Circuit Theor. Appl. 20(4), 497 (1992), DOI: 10.1002/cta.4490200506. Crossref, Web of Science, Google Scholar
N. Takahashi and L. O. Chua, IEEE Trans. Circuits Syst. 45(7), 754 (1998). Crossref, Google Scholar
T. Hu and Z. Lin, IEEE Trans. Circuits Syst. 47(4), 498 (2000). Crossref, Google Scholar
F. Zou and J. A. Nossek, IEEE Trans. Circuits Syst. 40(3), 166 (1993). Crossref, Google Scholar