Abstract

To overcome the shortcomings of traditional image restoration model and total variation image restoration model, we propose a novel Hopfield neural network-based image restoration algorithm with adaptive mixed-norm regularization. The new error function of image restoration combines the L2-norm and L1-norm regularization types. A method of calculating the adaptive scale control parameter is introduced. Experimental results demonstrate that the proposed algorithm is better than other algorithms with single norm regularization in the improvement of signal-to-noise ratio (ISNR) and vision effect.

© 2009 Chinese Optics Letters

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2008 (2)

2007 (1)

2006 (1)

Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).

2003 (1)

E. Salari and S. Zhang, Int. J. Imaging Syst. Technol. 12, 247 (2003).

2002 (1)

F. Malgouyres, IEEE Trans. Image Processing 11, 1450 (2002).

2001 (1)

H.-S. Wong and L. Guan, IEEE Trans. Neural Networks 12, 516 (2001).

2000 (2)

Y. Sun, IEEE Trans. Signal Processing 48, 2105 (2000).

S. W. Perry and L. Guan, IEEE Trans. Neural Networks 11, 156 (2000).

1998 (1)

T. F. Chan and C.-K. Wong, IEEE Trans. Image Processing 7, 370 (1998).

1992 (2)

L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992).

J. K. Paik and A. K. Katsaggelos, IEEE Trans. Image Processing 1, 49 (1992).

Chan, T. F.

T. F. Chan and C.-K. Wong, IEEE Trans. Image Processing 7, 370 (1998).

Chen, X.

Fatemi, E.

L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992).

Guan, L.

H.-S. Wong and L. Guan, IEEE Trans. Neural Networks 12, 516 (2001).

S. W. Perry and L. Guan, IEEE Trans. Neural Networks 11, 156 (2000).

Han, C.

Katsaggelos, A. K.

J. K. Paik and A. K. Katsaggelos, IEEE Trans. Image Processing 1, 49 (1992).

Li, J.

Li, Q.

Liao, S.

Malgouyres, F.

F. Malgouyres, IEEE Trans. Image Processing 11, 1450 (2002).

Osher, S.

L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992).

Paik, J. K.

J. K. Paik and A. K. Katsaggelos, IEEE Trans. Image Processing 1, 49 (1992).

Perry, S. W.

S. W. Perry and L. Guan, IEEE Trans. Neural Networks 11, 156 (2000).

Rudin, L. I.

L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992).

Salari, E.

E. Salari and S. Zhang, Int. J. Imaging Syst. Technol. 12, 247 (2003).

Shen, M.

Sun, S.-X.

Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).

Sun, Y.

Y. Sun, IEEE Trans. Signal Processing 48, 2105 (2000).

Tang, Y.

Wang, Z.

Wei, H.

Wong, C.-K.

T. F. Chan and C.-K. Wong, IEEE Trans. Image Processing 7, 370 (1998).

Wong, H.-S.

H.-S. Wong and L. Guan, IEEE Trans. Neural Networks 12, 516 (2001).

Wu, Y.-D.

Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).

Zhang, H.-Y.

Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).

Zhang, S.

E. Salari and S. Zhang, Int. J. Imaging Syst. Technol. 12, 247 (2003).

Zhu, Q.-X.

Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).

Zhu, Z.

Chin. Opt. Lett. (3)

IEEE Trans. Image Processing (3)

J. K. Paik and A. K. Katsaggelos, IEEE Trans. Image Processing 1, 49 (1992).

T. F. Chan and C.-K. Wong, IEEE Trans. Image Processing 7, 370 (1998).

F. Malgouyres, IEEE Trans. Image Processing 11, 1450 (2002).

IEEE Trans. Neural Networks (2)

S. W. Perry and L. Guan, IEEE Trans. Neural Networks 11, 156 (2000).

H.-S. Wong and L. Guan, IEEE Trans. Neural Networks 12, 516 (2001).

IEEE Trans. Signal Processing (1)

Y. Sun, IEEE Trans. Signal Processing 48, 2105 (2000).

Int. J. Imaging Syst. Technol. (1)

E. Salari and S. Zhang, Int. J. Imaging Syst. Technol. 12, 247 (2003).

Neurocomputing (1)

Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).

Physica D (1)

L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992).

Other (4)

L. V. Ferreira, E. Kaszkurewicz, and A. Bhaya, in Proceedings of 2008 International Joint Conference on Neural Networks 2512 (2008).

M. Zou, Deconvolution and Signal Recovery (National Defence Industry Press, Beijing, 2001).

E. Binaghi, I. Gallo, A. Guidali, M. Raspanti, and G. Salvini, in Proceedings of International Machine Vision and Image Processing Conference 207 (2007).

Y. Wang, X. He, and H. Wang, in Proceedings of 3rd International Conference on Natural Computation 363 (2007).

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