Two Theorems on the Robust Designs for Pattern Matching CNNs

The cellular neural/nonlinear network (CNN) has become a useful tool for image and signal processing, robotic and biological visions, and higher brain functions. Based on our previous research, this paper set up two new theorems of robust designs for Pattern Matching CNN in processing binary images, which provide parameter inequalities to determine parameter intervals for implementing the prescribed image processing function. Three numerical simulation examples are given.

[1]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[2]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[3]  Leon O. Chua,et al.  The analogic cellular neural network as a bionic eye , 1995, Int. J. Circuit Theory Appl..

[4]  T. Roska,et al.  CNN model of the feature-linked synchronized activities in the visual thalamo-cortical system , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[5]  Frank S. Werblin,et al.  The computational eye , 1996 .

[6]  Leon O. Chua,et al.  CNN: A Vision of Complexity , 1997 .

[7]  G.S. Moschytz,et al.  Genetic optimization of cellular neural networks , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[8]  Leon O. Chua,et al.  UNIVERSAL CNN CELLS , 1999 .

[9]  Kari Halonen,et al.  A QCIF Resolution Binary I/O CNN-UM Chip , 1999, J. VLSI Signal Process..

[10]  R. Tetzlaff.  Proceedings of the 7th IEEE International Workshop on Cellular Neural Networks and Their Applications : Institute of Applied Physics, Johann Wolfgang Goethe-University, Frankfurt, Germany, 22-24 July 2002 , 2002 .

[11]  Leon O. Chua,et al.  Cellular Neural Networks and Visual Computing , 2002 .

[12]  Lequan Min,et al.  The robustness design of templates of CNN for detecting inner corners of objects in gray-scale images , 2004, 2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914).

[13]  Lequan Min,et al.  Design for robustness edgegray detection CNN , 2004, 2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914).

[14]  Lequan Min,et al.  Design for robustness counter detection CNN with applications , 2005, Proceedings. 2005 International Conference on Communications, Circuits and Systems, 2005..

[15]  Lequan Min.  Robustness designs of a kind of uncoupled CNNs with applications , 2005, 2005 9th International Workshop on Cellular Neural Networks and Their Applications.

[16]  Tamás Roska,et al.  Cellular neural network , 2009, Scholarpedia.