Hopfield neural network-based image restoration with adaptive mixed-norm regularization
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.
刘丽萍：Department of Physics, Harbin Institute of Technology, Harbin 150001, China
赵远：Department of Physics, Harbin Institute of Technology, Harbin 150001, China
靳辰飞：Department of Physics, Harbin Institute of Technology, Harbin 150001, China
孙秀冬：Department of Physics, Harbin Institute of Technology, Harbin 150001, China
备注：This work was supported by the National Defense Pre-Research Foundation of China under Grant No. 9140A01040307HT0125.
【1】C. Han, J. Li, X. Chen, and Z. Zhu, Chin. Opt. Lett. 6, 334 (2008).
【2】Z. Wang and Y. Tang, Chin. Opt. Lett. 6, 405 (2008).
【3】Q. Li, S. Liao, H. Wei, and M. Shen, Chin. Opt. Lett. 5, 201 (2007).
【4】J. K. Paik and A. K. Katsaggelos, IEEE Trans. Image Processing 1, 49 (1992).
【5】Y. Sun, IEEE Trans. Signal Processing 48, 2105 (2000).
【6】S. W. Perry and L. Guan, IEEE Trans. Neural Networks 11, 156 (2000).
【7】H.-S. Wong and L. Guan, IEEE Trans. Neural Networks 12, 516 (2001).
【8】E. Salari and S. Zhang, Int. J. Imaging Syst. Technol. 12, 247 (2003).
【9】E. Binaghi, I. Gallo, A. Guidali, M. Raspanti, and G. Salvini, in Proceedings of International Machine Vision and Image Processing Conference 207 (2007).
【10】Y. Wang, X. He, and H. Wang, in Proceedings of 3rd International Conference on Natural Computation 363 (2007).
【11】L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992).
【12】T. F. Chan and C.-K. Wong, IEEE Trans. Image Processing 7, 370 (1998).
【13】F. Malgouyres, IEEE Trans. Image Processing 11, 1450 (2002).
【14】Y.-D. Wu, Q.-X. Zhu, S.-X. Sun, and H.-Y. Zhang, Neurocomputing 69, 2364 (2006).
【15】L. V. Ferreira, E. Kaszkurewicz, and A. Bhaya, in Proceedings of 2008 International Joint Conference on Neural Networks 2512 (2008).
【16】M. Zou, Deconvolution and Signal Recovery (National Defence Industry Press, Beijing, 2001).
Yuannan Xu, Liping Liu, Yuan Zhao, Chenfei Jin, Xiudong Sun, "Hopfield neural network-based image restoration with adaptive mixed-norm regularization," Chinese Optics Letters 7(8), 686-689 (2009)