Image restoration using the Hopfield network with nonzero autoconnection. Paik, J. & Katsaggelos, A. In International Conference on Acoustics, Speech, and Signal Processing, volume 4, pages 1909–1912, 1990. IEEE.
Image restoration using the Hopfield network with nonzero autoconnection [link]Paper  doi  abstract   bibtex   
A modified Hopfield network model for image restoration is presented. The proposed network does not require zero autoconnections, which is one of the major drawbacks of the Hopfield network. A new number-representation scheme for implementing the proposed network is given. The proposed network with sequential update is shown to converge. The sufficient conditions for convergence of n-simultaneous updates are also given. When the image-restoration problem does not satisfy the convergence conditions, a greedy algorithm which guarantees convergence (at the expense of the image quality) is used.
@inproceedings{JoonKi1990a,
abstract = {A modified Hopfield network model for image restoration is presented. The proposed network does not require zero autoconnections, which is one of the major drawbacks of the Hopfield network. A new number-representation scheme for implementing the proposed network is given. The proposed network with sequential update is shown to converge. The sufficient conditions for convergence of n-simultaneous updates are also given. When the image-restoration problem does not satisfy the convergence conditions, a greedy algorithm which guarantees convergence (at the expense of the image quality) is used.},
author = {Paik, J.K. and Katsaggelos, A.K.},
booktitle = {International Conference on Acoustics, Speech, and Signal Processing},
doi = {10.1109/ICASSP.1990.115873},
issn = {07367791},
pages = {1909--1912},
publisher = {IEEE},
title = {{Image restoration using the Hopfield network with nonzero autoconnection}},
url = {http://ieeexplore.ieee.org/document/115873/},
volume = {4},
year = {1990}
}

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