混合波原子和双边滤波的纹理图像滤波方法
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摘要
为了更好地去除纹理图像中的噪声,提出了一种新的混合波原子阈值的振荡纹理图像扩散模型;利用扩散方程和图像滤波方法的理论联系,给出了联合双边滤波的图像去噪算法;最后,利用峰值信噪比(PSNR)和结构相似度(SSIM)两个客观图像质量评价指标,与目前流行的图像去噪方法(包括波原子阈值、双边滤波、高斯尺度混合(GSM),以及非局部滤波(NLM))进行比较。实验结果验证了新方法的有效性。
This paper proposed a novel diffusion scheme by hybridizing wave atoms thresholding for textural images.Also designed a denoising algorithm based on the relationship between solution of nonlinear diffusion equation and bilateral filtering method.Numerical experiments illustrate the good performance in comparison to the state-of-the-art denoising algorithms,such as wave atoms shrinkage method,and the bilateral filtering method,scale mixtures of Gaussians(GSM) method,non-local mean(NLM) method,by using two objective measures: peak signal-to-noise ratio(PSNR) and structural similarity(SSIM).
This paper proposed a novel diffusion scheme by hybridizing wave atoms thresholding for textural images.Also designed a denoising algorithm based on the relationship between solution of nonlinear diffusion equation and bilateral filtering method.Numerical experiments illustrate the good performance in comparison to the state-of-the-art denoising algorithms,such as wave atoms shrinkage method,and the bilateral filtering method,scale mixtures of Gaussians(GSM) method,non-local mean(NLM) method,by using two objective measures: peak signal-to-noise ratio(PSNR) and structural similarity(SSIM).
引文
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[13]BARASH D.A fundamental relationship between bilateral filtering,adaptive smoothing,and the nonlinear diffusion equation[J].IEEETrans on Pattern Analysis and Machine Intelligence,2002,24(6):844-847.
[14]BUADES A,COLL B,MOREL J M.A review of image denoising al-gorithms with a new one[J].SIAM Multiscale Modeling and Simu-lation,2005,4(2):490-530.
[15]PORTILLA J,STRELA V,WAINWRIGHT M J,et al.Image denoi-sing using scale mixtures of Gaussians in the wavelet domain[J].IEEE Trans on Image Processing,2003,12(11):1338-1351.
[16]ELAD M.On the bilateral filter and ways to improve it[J].IEEETrans on Image Processing,2002,11(10):1141-1151.
[17]PARIS S,DURAND F.A fast approximation of the bilateral filterusing a signal processing approach[J].International Journal ofComputer Vision,2009,81(1):24-52.
[18]WONG A.Adaptive bilateral filtering of image signals using localphase characteristics[J].Signal Processing,2008,88(6):1615-1619.
[19]VIJAYA G,VASUDEVAN V.A novel noise reduction method usingdouble bilateral filtering[J].European Journal of Scientific Re-search,2010,46(3):331-338.
[20]WANG Z,BOVIK A C,SHEIKH H R,et al.Image quality assess-ment:from error visibility to structural similarity[J].IEEE Trans onImage Processing,2004,13(4):600-612.
[2]CATTES F,LIONS P,MOREL J,et al.Image selective smoothingand edge detection by nonlinear diffusion[J].SIAM Journal on Nu-merical Analysis,1992,29(1):182-193.
[3]MA Jian-wei.Characterization of textural surfaces using wave atoms[J].Applied Physics Letters,2007,90(26):264101-264103.
[4]吴玉莲,冯象初.基于非局部TV正则化的波原子去噪算法[J].计算机科学,2011,38(6):286-287.
[5]COIFMAN R R,DONOHO D L.Translation invariant denoising[C]//Lecture Notes in Statistics,Vol 103.New York:Springer-Ver-lag,1995:125-150.
[6]CANDES E J,DONOHO D L.New tight frames of curvelets and opti-mal representations of objects with C2 singularities[J].Communica-tions on Pure and Applied Mathematics,2004,57(2):219-266.
[7]DEMANET L,YING L X.Wave atoms and sparsity of oscillatory pat-terns[J].Applied and Computational Harmonic Analysis,2007,23(3):368-387.
[8]刘国军,冯象初,张选德.波原子纹理图像阈值算法[J].电子与信息学报,2009,31(8):1791-1795.
[9]陈书贞,郝鹏鹏,练秋生.基于双树复数小波和波原子稀疏图像表示的压缩传感图像重构[J].信号处理,2010,26(11):1701-1706.
[10]杨宁,贺振华,黄德济.基于系数相关性阈值的波原子域叠前地震资料信噪分离方法[J].石油地球物理勘探,2011,46(1):57-62.
[11]孙海英,李锋,商会亮.改进的变分自适应中值滤波算法[J].电子与信息学报,2011,33(7):1743-1747.
[12]TOMASI C,MANDUCHI R.Bilateral filtering for gray and color ima-ges[C]//Proc of IEEE ICCV.1998:839-846.
[13]BARASH D.A fundamental relationship between bilateral filtering,adaptive smoothing,and the nonlinear diffusion equation[J].IEEETrans on Pattern Analysis and Machine Intelligence,2002,24(6):844-847.
[14]BUADES A,COLL B,MOREL J M.A review of image denoising al-gorithms with a new one[J].SIAM Multiscale Modeling and Simu-lation,2005,4(2):490-530.
[15]PORTILLA J,STRELA V,WAINWRIGHT M J,et al.Image denoi-sing using scale mixtures of Gaussians in the wavelet domain[J].IEEE Trans on Image Processing,2003,12(11):1338-1351.
[16]ELAD M.On the bilateral filter and ways to improve it[J].IEEETrans on Image Processing,2002,11(10):1141-1151.
[17]PARIS S,DURAND F.A fast approximation of the bilateral filterusing a signal processing approach[J].International Journal ofComputer Vision,2009,81(1):24-52.
[18]WONG A.Adaptive bilateral filtering of image signals using localphase characteristics[J].Signal Processing,2008,88(6):1615-1619.
[19]VIJAYA G,VASUDEVAN V.A novel noise reduction method usingdouble bilateral filtering[J].European Journal of Scientific Re-search,2010,46(3):331-338.
[20]WANG Z,BOVIK A C,SHEIKH H R,et al.Image quality assess-ment:from error visibility to structural similarity[J].IEEE Trans onImage Processing,2004,13(4):600-612.
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