Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Digital Image Restoration
Toeplitz and circulant matrices: a review
Communications and Information Theory
Image restoration using hopfield neural network based on total variational model
ISNN'05 Proceedings of the Second international conference on Advances in neural networks - Volume Part II
IEEE Transactions on Signal Processing
Weight assignment for adaptive image restoration by neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Estimation and optimization based ill-posed inverse restoration using fuzzy logic
Multimedia Tools and Applications
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In this paper, based on the modified Hopfield neural network, we present two variational PDEs (Partial Differential Equations) as the regularization terms to the image restoration model. One is based on a harmonic model and the other is based on a total variation model. Then, we propose two novel variational image restoration algorithms based on the Modified Hopfield Neural Network (MHNN). Both algorithms are aiming to restore the degraded images and preserve the edges with improved visual quality. The experimental results demonstrate that our proposed algorithms perform better than other known neural network based restoration algorithms.