Vogel Curtis R.Computational Methods for Inverse Problems[M].Philadelphia, Pennsylvania:Society for Industrial and Applied Mathematics, 2002.1-183.
[2]
唐利明, 黄大荣.变分框架下的多尺度图像恢复与重建[J].电子学报, 2013, 41(12):2353-2360. Tang Li-ming, Huang Da-rong.Multiscale image restoration and reconstruction in the framework of variation[J].Acta Electronica Sinica, 2013, 41(12):2353-2360.(in Chinese)
[3]
Aubert G, Kornprobst Pierre.Mathematical Problems in Image Processing, Partial Differential Equations and the Calculus of Variations[M].New York, USA:Springer-Verlag, 2006.1-371.
[4]
Liu X W, Huang L H, Guo Z Y.Adaptive fourth-order partial differential equation filter for image denoising[J].Applied Mathematics Letters, 2011, 24(8):1282-1288.
[5]
Dykes L, Reichel L.Simplified GSVD computations for the solution of linear discrete ill-posed problems[J].Journal of Computational and Applied Mathematics, 2014, 255(1):15-27.
[6]
Sun Wenyu, Yuan Yaxiang.Optimization Theory and Methods Nonlinear Programming[M].New York, USA:Springer Science Business Media, 2006, 1-687.
[7]
童基均, 刘进, 蔡强.基于全变差的加全最小二乘法PET图像重建[J].电子学报, 2013, 41(4):787-790. Tong Ji Jun, Liu Jin, Cai Qiang.The PET image reconstruction based on weighted least squares and TV penalty[J].Acta Electronica Sinica, 2013, 41(4):787-790.(in Chinese)
[8]
Beck Amir, Teboulle Marc.A fast dual proximal gradient algorithm for convex minimization and applications[J].Operations Research Letters, 2014, 42(1):1-6.
[9]
Duran Joan, Coll Bartomeu, Sbert Catalina.Chambolle''s projection algorithm for total variation denoising[J].Image Processing on Line, 2013, 2013(3):301-321.
[10]
Dai Y H, Kou C X.A nonlinear conjugate gradient algorithm with an optimal property and an improved wolfe line search[J].SIAM Journal on Optimization, 2013, 23(1):296-320.
[11]
Bai zhengjian, Donatelli Marco, Capizzano Stefano Serra.Fast preconditioners for total variation deblurring with anti-reflective boundary conditions[J].SIAM Journal on Matrix Analysis and Applications, 2011, 32(3):785-805.
[12]
J.E.Dennis, Robert B.Schnabel.Numerical Methods for Unconstrained Optimization and Nonlinear Equations[M].Philadelphia:SIAM, 1996.1-378.
[13]
Beck Amir, Teboulle Marc.A fast iterative shrinkage-thresholding for linear inverse problems[J].SIAM Journal on Imaging Science, 2009, 2(1):183-202.
[14]
Landi G, Piccolomini E Loli.An efficient method for nonnegatively constrained total variation-based of medical images corrupted by poisson noise[J].Computerized Medical Imaging and Graphics, 2012, 36(1):38-46.
[15]
Lee Katrina Palmer, Nagy James G, Perrone Lisa.Iterative methods for image deblurring:a matlab object-oriented approach[J].Numerical Algorithms, 2004, 36(1):73-93.
