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Image restoration using L1-norm regularization and a gradient-based neural network with discontinuous activation functions

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3 Author(s)
Ferreira, L.V. ; Dept. of Electr. Eng., Fed. Univ. of Rio de Janeiro, Rio de Janeiro ; Kaszkurewicz, E. ; Bhaya, Amit

The problem of restoring images degraded by linear position invariant distortions and noise is solved by means of a L1-norm regularization, which is equivalent to determining a L1-norm solution of an overdetermined system of linear equations, which results from a data-fitting term plus a regularization term that are both in L1 norm. This system is solved by means of a gradient-based neural network with a discontinuous activation function, which is ensured to converge to a L1-norm solution of the corresponding system of linear equations.

Published in:

Neural Networks, 2008. IJCNN 2008. (IEEE World Congress on Computational Intelligence). IEEE International Joint Conference on

Date of Conference:

1-8 June 2008