Applications of transiently chaotic neural networks to image restoration

Transiently chaotic neural network with continuous neural states is implemented to restore gray level images. The neural network is modeled to represent the image whose gray level function is the simple sum of the neuron state variables. The restoration consists of two phases: parameter estimation and image reconstruction. During the first phase, parameters are estimated by comparing the energy function of the neural network to a constraint error function. The neural network is updated using stochastic chaotic simulated annealing. Hopfield neural network is also implemented to compare the results. Experiments show that transiently chaotic neural network could get good results in much shorter time compared to Hopfield neural network.

[1]  B. K. Jenkins,et al.  Image restoration using a neural network , 1988, IEEE Trans. Acoust. Speech Signal Process..

[2]  Yi Sun,et al.  Hopfield neural network based algorithms for image restoration and reconstruction. II. Performance analysis , 2000, IEEE Trans. Signal Process..

[3]  Lipo Wang,et al.  Noisy chaotic neural networks for solving combinatorial optimization problems , 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

[4]  J. Woods,et al.  Kalman filtering in two dimensions: Further results , 1981 .

[5]  J. J. Hopfield,et al.  “Neural” computation of decisions in optimization problems , 1985, Biological Cybernetics.

[6]  B. R. Hunt,et al.  Digital Image Restoration , 1977 .

[7]  Stephen D. Voran,et al.  Objective video quality assessment system based on human perception , 1993, Electronic Imaging.

[8]  Yi Sun Hopfield neural network based algorithms for image restoration and reconstruction. I. Algorithms and simulations , 2000, IEEE Trans. Signal Process..

[9]  Aggelos K. Katsaggelos,et al.  Image restoration using a modified Hopfield network , 1992, IEEE Trans. Image Process..

[10]  Kazuyuki Aihara,et al.  Chaotic simulated annealing by a neural network model with transient chaos , 1995, Neural Networks.