期刊文献+

图像恢复的小波域加速Landweber迭代阈值方法 被引量:8

Accelerated Landweber Iterative Thresholding Algorithm in Wavelet Domain for Image Restoration
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摘要 该文利用对忠诚项的二次逼近方法,提出了一种小波域加速Landweber迭代阈值算法。该算法的每次迭代是对前两次迭代结果的线性组合做阈值处理。与标准的迭代阈值算法相比,该方法收敛速度更快。由于参数的可选择性,新算法更有灵活性。数值实验表明新算法能够有效地提高恢复图像的质量,是一种行之有效的图像恢复方法。 An accelerated Landweber iterative thresholding algorithm in wavelet domain is proposed by using quadratic approximation of the fidelity term.In this algprithm,each iterate depends on a linear combination of the previous two iterates.Comparing with the standard iterative thresholding algorithm,the proposed algorithm is more effective and more flexible due to the alternatives of parameter.The numerical experiments show that the algorithm can improve the quality of the restored image effectively.
出处 《电子与信息学报》 EI CSCD 北大核心 2011年第2期342-346,共5页 Journal of Electronics & Information Technology
基金 国家自然科学基金(NSFC60872138)资助课题
关键词 图像恢复 加速Landweber迭代 小波 阈值算法 图像去模糊 Image restoration Accerelated Landweber iterative Wavelet Thresholding algorithm Image deblurring
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参考文献13

  • 1Chau T F and Shen Jian-hong. Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods[M]. SIAM Publisher, Philadelphia, 2005, 207-233.
  • 2Chan T F and Shen Jian-hong. Theory and computation of variational image deblurring[R]. IMS Lecture Notes Series: Institute for Mathematical Sciences, National University of Singapore, " Mathematics and Computation in Imaging Science and information Processing", World Scientefic Publishing Co., 2007, Vol.11: 93-130.
  • 3Daubechies I, Defrise M, and Demol C. An iterative thresholding algorithm for linear inverse problems with a sparisity constraint[J]. Communication on Pure & Applied Mathematics, 2004, 57(11): 1413-1457.
  • 4Blumensath T and Davies M E. Iterative thresholding for sparese approximation[J]. Journal of Fourier Analysis and Applications, 2008, 14(5/6): 629-654.
  • 5Blumensath T and Davies M E. Normalised iterative hard thresholding guaranteed stability and performance[J]. IEEE Journal of Selected Topics in Signal Processing, 2010, 4(2): 298-309.
  • 6Fornasier M and Rauhut H. Iterative thresholding algorithm [J]. Applied. Compute Harmon Analysis, 2008, 25(2): 187-208.
  • 7Bredies K and Lorenz D. Linear convergence of iterative soft- thresholding[J]. Journal of Fourier Analysis and Applications, 2008, 14(5/6): 813-837.
  • 8Bioucas Dias J M and Figueiredo M A T. A new TWIST: two-step iterative Shrinkage/Thresholding algorithm for image restoration[J]. IEEE Transcations on Image Processing, 2007, 16(12): 2980-2991.
  • 9Fornasier M. Domain decomposition mehtods for linear inverse problems with sparsity constraints[J]. Inverse Problems, 2007, 23(6): 2505-2526.
  • 10Daubechies I, Fornasier M, and Loris I. Accelerated projected gradient method for linear inverse problems with sparsity constraints[J]. Journal of Fourier Analysis and Applications, 2008, 14(5/6): 746-792.

同被引文献107

  • 1张军.求解不适定问题的快速Landweber迭代法[J].数学杂志,2005,25(3):333-335. 被引量:6
  • 2董向元,陈琪,李惊涛,蔡斌,阎润生,王海刚,刘石.基于快速投影LANDWEBER法的电容层析成像图像重建算法研究[J].中国电机工程学报,2005,25(14):89-92. 被引量:29
  • 3孟小红,刘国峰,周建军.大间距地震数据重建方法研究[J].地球物理学进展,2006,21(3):687-691. 被引量:11
  • 4张文超,山世光,张洪明,陈杰,陈熙霖,高文.基于局部Gabor变化直方图序列的人脸描述与识别[J].软件学报,2006,17(12):2508-2517. 被引量:82
  • 5王正明.弹道跟踪数据的校准与评估[M].长沙:国防科技大学出版社,2008.
  • 6Perona P and Malik J.Scale space and edge detection using anisotropic diffusion[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1990,12(7):629-639.
  • 7Rudin L,Osher S,and Fatemi E.Nonlinear total variation based noise removal algorithms[J].Physica D,1992,60(1-4):259-268.
  • 8Lysaker M,Lundervold A,and Tai X C.Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time[J].IEEE Transactions on Image Processing,2003,12(12):1579-1590.
  • 9Lysaker M,Osher S,and Tai X C.Noise removal using smoothed normals and surface fitting[J].IEEE Transactions on Image Processing,2004,13(10):1345-1357.
  • 10Hahn J,Tai X C,Borok S,et al..Orientation-matching minimization for image denoising and inpainting[J].International Journal of Computer Vision,2011,92(3):308-324.

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