基于方向金字塔分解与均值滤波联合的叠前地震数据随机噪声压制
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摘要
在方向金字塔多尺度、多方向分解原理的基础上,提出了基于局部拉普拉斯概率密度模型和最大后验概率估计的随机噪声压制方法,该方法能够压制大部分随机噪声,但信号局部存在畸变和残余噪声。均值滤波具有图像平滑的作用,可以消除信号畸变,压制残余噪声,因此提出了方向金字塔分解与均值滤波联合的随机噪声压制方法。数值模拟实验和实际应用效果表明,该方法能有效压制随机噪声,提高地震资料的信噪比。
Based on the principles of steerable pyramid decomposition in multi-scale & multi-direction,the random noise attenuation method on the basis of local Laplace probability density model and maximum posteriori probability estimation was proposed.The method can suppress most random noise,but introduces the distortion and residual noise in local signals.Since the mean filter can smooth maps,it can eliminate the signal distortion and suppress the residual noise.So we jointly applied the two methods to attenuate random noise.Numerical simulation and practical application results show that the new method can effectively suppress random noise and improve the signal-to-noise ratio of seismic data.
Based on the principles of steerable pyramid decomposition in multi-scale & multi-direction,the random noise attenuation method on the basis of local Laplace probability density model and maximum posteriori probability estimation was proposed.The method can suppress most random noise,but introduces the distortion and residual noise in local signals.Since the mean filter can smooth maps,it can eliminate the signal distortion and suppress the residual noise.So we jointly applied the two methods to attenuate random noise.Numerical simulation and practical application results show that the new method can effectively suppress random noise and improve the signal-to-noise ratio of seismic data.
引文
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[2]程荃.改进的叠前去噪方法[J].石油地球物理勘探,1999,34(4):453-456 Cheng Q.An improved technique for prestack noise elimination[J].Oil Geophysical Prospecting,1999,34(4):453-456
[3]夏洪瑞,陈德刚,周开明.地震资料处理中随机干扰消除方法分析[J].石油物探,2003,42(1):93-96 Xia H R,Chen D G,Zhou K M.Random noise elimi-nation in seismic data processing[J].Geophysical Prospecting for Petroleum,2003,42(1):93-96
[4]Simoncelli E P,Freeman W T.The steerable pyra-mid:a flexible architecture for multi-scale derivative computation[C]//2 nd Annual IEEE Intelligence.Conference on Image Processing.Washington:1995:444-447
[5]任获荣,杨万海,王家礼.多尺度形态金字塔图像去噪算法[J].计算机工程,2004,47(20):136-137 Ren H R,Yang W H,Wang J L.A method of image denoising based on multiresolution morphological pyramid[J].Computer Engineering,2004,47(20):136-137
[6]杨阳,彭玉华,刘云霞,等.基于方向滤波器组的无冗余拉普拉斯金字塔框架设计[J].电子学报,2009,45(5):1046-1050 Yang Y,Peng Y H,Liu Y X,et al.Non-redundant Laplacian pyramid design based on directional filter bank[J].Acta Electronica Sinica,2009,45(5):1046-1050
[7]Karasaridis A,Simoncelli E.A filter design tech-nique for steerable pyramid image transforms[C]//GRASP Laboratory.International conference on speech signal process.Atlanta GA:IEEE Conference publications,1996:2387-2390
[8]Benjelil M,Kanoun S,Mullot R.Arabic and Latin script identification in printed and handwritten types based on steerable pyramid features[C]//University of La Rochelle.10th International Conference on Document Analysis and Recognition.La Rochelle:IEEE Conference publications,2009:591-595
[9]Freeman W T,Adelson E H.The design and use of steerable filters[J].IEEE Transaction on Pattern A-nalysis and Machine Intelligence,1991,13(9):891-907
[10]Portilla J,Strela V,Wainwright M J,et al.Image de-noising using Gaussian scale mixtures in the wavelet domain[J].IEEE Transactions on Image Process-ing,2003,12(14):1338-1351
[11]Rabbani H,Vafadust M,Gazor S.Image denoising based on a mixture of Laplace distributions with lo-cal parameters in complex wavelet domain[C]//Sci-ence Editing Proceedings.Proceedings13 rd IEEE In-ternational Conference on Image Processing.Atlanta GA:IEEE Conference publications,2006:787-821
[12]Rabbani H.Image denoising in steerable pyramid domain based on a local Laplace prior[J].Pattern Recognition,2009,42(23):2181-2193
[13]刘伟,曹思远,王征,等.随机噪声的多尺度多方向域压制方法研究[J].石油物探,2011,50(3):301-306 Liu W,Cao S Y,Wang Z,et al.Multi-scale&multi-direction suppressing method for random noise[J].Geophysical Prospecting for Petroleum,2011,50(3):301-306
[14]黄文涛,毕笃彦,毛柏鑫,等.基于中值变换和金字塔分解的图像去噪方法[J].电子与信息学报,2004,46(11):1686-1692 Huang W T,Bi D Y,Mao B X,et al.A image de-noising method based on median transform and pyra-mid decomposition[J].Journal of Electronics and In-formationTechnology,2004,46(11):1686-1692
[15]杨立强,宋海斌,郝天珧,等.基于二维小波变换的随机噪声压制方法研究[J].石油物探,2005,44(1):4-6 Yang L Q,Song H B,Hao T Y,et al.Method of2-D wavelet transform in attenuating random noise[J].Geophysical Prospecting For Petroleum,2005,44(1):4-6
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