Improvement on performance of modified Hopfield neural network for image restoration

By analyzing the same inequality ||u*||(1)=/<(1/2)trace(T), the authors conclude that a severely blurred image is generally restored less accurately than a mildly blurred one by the modified Hopfield neural network. This conclusion is the opposite of the statement made in Paik and Katsaggelos (1992). The authors also propose an improved new algorithm. Simulation results show that the SNRs of the images restored by the algorithm are higher by 3 to 8 db than those restored by the algorithm in Paik and Katsaggelos and the streaks in the restored images are obviously suppressed by the algorithm.

[1]  Yi Sun,et al.  An eliminating highest error criterion in Hopfield neural network for bilevel image restoration , 1992, [Proceedings] Singapore ICCS/ISITA `92.

[2]  Eric Goles Ch.,et al.  Decreasing energy functions as a tool for studying threshold networks , 1985, Discret. Appl. Math..

[3]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[4]  J. Goodman,et al.  Neural networks for computation: number representations and programming complexity. , 1986, Applied optics.

[5]  P. Gilbert.  Iterative methods for the three-dimensional reconstruction of an object from projections. , 1972, Journal of theoretical biology.

[6]  Yi Sun,et al.  A modified Hopfield neural network used in bilevel image restoration and reconstruction , 1992, [Proceedings] Singapore ICCS/ISITA `92.

[7]  Yi Sun,et al.  An eliminating highest error (EHE) criterion in Hopfield neural networks for bilevel image restoration , 1993, Pattern Recognit. Lett..

[8]  H.-J. Liu,et al.  Blind bilevel image restoration using Hopfield neural networks , 1993, IEEE International Conference on Neural Networks.

[9]  Joseph W. Goodman,et al.  A generalized convergence theorem for neural networks , 1988, IEEE Trans. Inf. Theory.

[10]  Jehoshua Bruck.  On the convergence properties of the Hopfield model , 1990, Proc. IEEE.

[11]  Guy Demoment,et al.  Image reconstruction and restoration: overview of common estimation structures and problems , 1989, IEEE Trans. Acoust. Speech Signal Process..

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

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