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    Abstract:

    A technique based on regularization method and restores image to close-to-optimal is proposed in this paper. The less the energy of the regularized residue, the better the image restoration. Based on this idea, wavelet transform is employed to choose regularization operator qualitatively, and stochastic theory is used to calculate the expectation of the energy, by minimizing the expectation to determine regularization parameter. Qualitative analysis concludes that the regularization operator should be low-stop and high-pass, and the experimental results show that the performances of this method are better than the traditional methods and yields steadily close-to-optimal restoration.

    Reference
    [1]Katsaggelos AK. Digital Image Restoration. Berlin: Springer-Verlag, 1991.
    [2]Andrews H, Hunt B. Digital Image Restoration. Englewood Cliff, NJ: Prentice-Hall, 1977.
    [3]Berter M, Poggio T, Torre V. Ill-Posed problems in early vision. Proceedings of the IEEE, 1988,76(8):869~889.
    [4]Calvetti D, Reichel L, Sgallari F, Spaletta G. A regularizing Lanczos iteration method for undetermined linear systems. Journal of Computation and Applied Mathematics, 2000,115:101~120.
    [5]Hansen PC, O'Leary DP. The use of the L-curve in the regularization of discrete ill posed problems. SIAM Journal on Scientific Computing, 1993,14:1487~1503.
    [6]Tekalp A, Kaufman H, Woods J. Edge-Adaptive Kalman filtering for image restoration with ringing suppression. IEEE Transactions on Acoustic Speech and Signal Processing, 1989,37(6):892~899.
    [7]Qian W, Clarke LP. Wavelet-Based neural network with fuzzy-logic adaptivity for nuclear image restoration. Proceedings of the IEEE, 1996,84(10):1458~1473.
    [8]Wong HS, Ling G. Application of evolutionary programming to adaptive regularization in image restoration. IEEE Transactions on Evolutionary Computation, 2000,4(4):309~326.
    [9]Bertero M, Boccacci P. Introduction to Inverse Problems in Imaging. Dirac House, Temple Back, Bristol BSI 6BE, UK: Institute of Physics Publishing, 1998.
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曾三友,康立山,丁立新,黄元江.一种基于正则化方法的准最佳图像复原技术.软件学报,2003,14(3):689-696

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History
  • Received:March 05,2002
  • Revised:April 18,2002
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