非下采样Contourlet自适应的地震信号插值方法
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摘要
为了提高地震数据的重构效果,提出了一种基于非下采样Contourlet变换(NSCT)自适应阈值的插值方法。该算法对缺失地震数据进行变换,并利用NSCT变换系数计算N次迭代对应的阈值。每次迭代时自适应选取阈值对各方向各尺度的NSCT系数进行处理,利用未缺失地震数据填充到反变换后的缺失地震数据中,完成缺失地震数据的重构。实验结果表明,利用NSCT变换的平移不变性和自适应阈值处理,对均匀丢失和随机丢失的地震数据进行插值重构,能得到更好的插值效果。
Adaptive threshold of interpolation method for seismic data based on nonsubsampled contourlet transform(NSCT) was proposed in order to improve the seismic data reconstruction effect.This algorithm transforn the missing seismic data,and calculation the corresponding threshold of N times ineration using NSCT transform coefficients.At each iteration,multidirectional and multiscale NSCT coefficients are processed using the adaptive threshold.And the missing seismic data can be reconstructed by filing the reserved seismic data in the missing area with inverse transformation.The experiment results show that this method can get better interpolation reconstruction effects in uniform loss and random loss when takes full use of translation invariant of NSCT and adaptive threshold.
Adaptive threshold of interpolation method for seismic data based on nonsubsampled contourlet transform(NSCT) was proposed in order to improve the seismic data reconstruction effect.This algorithm transforn the missing seismic data,and calculation the corresponding threshold of N times ineration using NSCT transform coefficients.At each iteration,multidirectional and multiscale NSCT coefficients are processed using the adaptive threshold.And the missing seismic data can be reconstructed by filing the reserved seismic data in the missing area with inverse transformation.The experiment results show that this method can get better interpolation reconstruction effects in uniform loss and random loss when takes full use of translation invariant of NSCT and adaptive threshold.
引文
[1]JAKUBOWICZ H.Wavefield reconstruction[J].64thAnn.Internat.Mtg.,Soc.Expl.Geophys.ExpandedAbstracts,1994.1557-1560.
[2]LARNER K,GIBSON B,ROTHMAN D.Trace interpo-lation and the design of seismic surveys[J].Geophysics,1981,46(4):407-409.
[3]LU L.Application of local slant-stack to trace interpola-tion[J].55th Ann.Internat.Mtg.,Soc.Expl.Geo-phys.Expanded Abstracts,1985.560-562.
[4]张亚红.Focal变换及其在地震数据去噪和插值中的应用研究[D].吉林大学,2010.
[5]平利娇.基于道集记录的地震道内插算法研究[D].中南大学,2010.
[6]刘喜武,刘洪,刘彬.反假频非均匀地震数据重建方法研究[J].地球物理学报,2004,47(2):299-305.
[7]VERGARA L,LLINARES R,IGUAL J.Wiener systemsfor reconstruction of missing seismic traces[J].IEEE Pro-ceedings of International Joint Conference on Neural Net-works,2011,1049-1053.
[8]薛念.周黎霞.基于Curvelet变换阈值法的地震数据插值和去噪[J].交通运输工程与信息学报,2011,9(27):86-91.
[9]CUNHA A L da,ZHOU J,DOM N.The nonsubsampledcontourlet transform:Theory,design and applications[J].IEEE Trans Image Process,2006,15(10):3089-3101.
[10]DONOHO D L.Denoising by soft-thresholding[J].IEEE Trans on IT.1995,41:613-627.
[11]薛念.Curvelet变换在地震图像处理中的初步应用研究[D].西南交通大学,2010.
[2]LARNER K,GIBSON B,ROTHMAN D.Trace interpo-lation and the design of seismic surveys[J].Geophysics,1981,46(4):407-409.
[3]LU L.Application of local slant-stack to trace interpola-tion[J].55th Ann.Internat.Mtg.,Soc.Expl.Geo-phys.Expanded Abstracts,1985.560-562.
[4]张亚红.Focal变换及其在地震数据去噪和插值中的应用研究[D].吉林大学,2010.
[5]平利娇.基于道集记录的地震道内插算法研究[D].中南大学,2010.
[6]刘喜武,刘洪,刘彬.反假频非均匀地震数据重建方法研究[J].地球物理学报,2004,47(2):299-305.
[7]VERGARA L,LLINARES R,IGUAL J.Wiener systemsfor reconstruction of missing seismic traces[J].IEEE Pro-ceedings of International Joint Conference on Neural Net-works,2011,1049-1053.
[8]薛念.周黎霞.基于Curvelet变换阈值法的地震数据插值和去噪[J].交通运输工程与信息学报,2011,9(27):86-91.
[9]CUNHA A L da,ZHOU J,DOM N.The nonsubsampledcontourlet transform:Theory,design and applications[J].IEEE Trans Image Process,2006,15(10):3089-3101.
[10]DONOHO D L.Denoising by soft-thresholding[J].IEEE Trans on IT.1995,41:613-627.
[11]薛念.Curvelet变换在地震图像处理中的初步应用研究[D].西南交通大学,2010.
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