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数字双边全变差滤波及非线性去噪

DOI: 10.11834/jig.20070706

Keywords: 非线性去噪,稳健估计,双边滤波,全变差,边缘保持

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Abstract:

为了更好地滤噪,在研究基于数字滤波器的图像去噪问题的基础上,首先简洁地建立了双边滤波与最优能量泛函之间的理论联系,同时导出一类广义双边滤波器;然后基于双边滤波在阶数大邻域中的双重异性加权滤波机制,推广了Chan提出的数字全变差(TV)模型,提出了一种数字双边TV模型;随后,建立了基于数字双边TV模型的最优能量泛函,并且导出了适于高斯噪声和脉冲噪声两种情形的非线性数字双边全变差滤波器。实验结果显示,无论是在视觉效果方面,还是去噪后图像的峰值信噪比方面,双边全变差滤波都是对双边滤波和全变差滤波极为合理而有效的推广。尤其对于脉冲噪声,该双边全变差滤波的去噪性能明显优于中值滤波器,具有重要的实用价值。

References

[1]  Rudin L,Osher S,Fatemi E.Nonlinear total variation based noise removal algorithms[J].Physica D,1992,60:259~268.
[2]  Chan Tony F.The dgital TV filter and nonlinear denoising[J].IEEE Transactions on Image Processing,2001,10(2):231~241.
[3]  Wang DCC,Vagnucci AH,Li C C.A gradient inverse weighted smoothing scheme and the evaluation of its performance[J].Computer Vision,Graphics,and Image Processing,1981,15(2):167~181.
[4]  HuberPJ.Robust statistics[M].New York:Wiley,1981.
[5]  Farsiu Sina,Robinson M D,Elad Michael,et al.Fast and robust multiframe super resolution[J].IEEE Transactions on Image Processing,2004,13(10):1327~1344.
[6]  Barash D.A fundamental relationship between bilateral filtering,adaptive smoothing,and the nonlinear diffusion equation[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2002,24(6):844.
[7]  Charbonnier Pierre,Blanc-Feraure,Aubert Gilles,et al.Deterministic edge-preserving regularization in computed imaging[J].IEEE Transactions on Image Processing,1997,6(2):298~311.
[8]  Geman S,Geman D.Stochastic relaxation,Gibbs distributions and the Bayesian restoration of images[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1984,6(2):721~741.
[9]  Tomasi C,Manduchi R.Bilateral filtering for gray and color images[A].In:Proceedings of 6th International Conference Computer Vision[C],New Delhi,India,1998:839~846.
[10]  Perona P,Malik J.Scale-space and edge detection using anisotropic diffusion[J].IEEE Transactions on Pattern Analysis and Machine Interlligence,1990,12(7):629~639.
[11]  Nagao M,Matsuyama T.Edge preserving smoothing[J].Computer Graphics and Image Processing,1979,9(4):394~407.
[12]  Himayat N,Kassam S A.Approximate performance analysis of edge preserving filters[J].IEEE Transactions on Signal Processing,1993,41(9):2764~2777.
[13]  Cobson D,Vogel C.Convergence of an iterative method for total variation denoising[J].Society for Industrial and Applied Mathematics,Journal of Numerical Analysis,1997,34(5):1779~1791.
[14]  Mráazek Pavel,Weicker Joachim,Bruhnl Andres.On robust estimation and smoothing with spatial and tonal kernels[R].Preprint No.51,DFG Priority Program 1114,University of Bremen,Germany,June 2004.
[15]  Elad E.On the bilateral filter and ways to improve it[J].IEEE Transactions on Image Processing,2002,11(10):1141~1151.
[16]  Black M,Rangarajan A.On the unification of line processes,outlier rejection,and robust statistics with applications in early vision[J].International Journal of Computer Vision,1996,19(1):57~92.
[17]  Black Michael J,Sapiro Guillermo,Marimont David H,et al.Robust anisotropic diffusion[J].IEEE Transactions on Image Processing,1998,7(3):421~432.

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