反射地震记录的多尺度边缘检测
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摘要
多尺度边缘检测等价于寻找图像的小波变换模局部极值。在尺度空间，图像的小波变换模局部极值能在刻画图像不规则结构的局部特征的同时，给出它们的局部奇性点的分布。本文借助这种思路，利用小波变换模的局部极值，检测了二维反射地震记录同相轴位置和断点特征位置，即通过沿小波变换模的尺度伸展方向，估计出局部Lipschitz指数和光滑因子，并自动追踪同相轴和识别断点。
Multiscale boundary detection is equivalent to searching out the local ex-tremum of wavelet transform modulo of image. In scale space,the local extremum ofwavelet transform modulo of image not only describes the local characteristics of ir-regular structure of image but also displays distribution of local singular points. Us-ing above theory,one may take local extremum of wavelet transform modulo to de-tect both event location and characteristic fault point location of 2-D reflection seis-mogram. In other words,one can estimate local Lipschitz exponent and smoothingfactor,automatically trace seismic events and determine fault points along the scalestretch direction of wavelet transform modulo.
Multiscale boundary detection is equivalent to searching out the local ex-tremum of wavelet transform modulo of image. In scale space,the local extremum ofwavelet transform modulo of image not only describes the local characteristics of ir-regular structure of image but also displays distribution of local singular points. Us-ing above theory,one may take local extremum of wavelet transform modulo to de-tect both event location and characteristic fault point location of 2-D reflection seis-mogram. In other words,one can estimate local Lipschitz exponent and smoothingfactor,automatically trace seismic events and determine fault points along the scalestretch direction of wavelet transform modulo.
引文
1Daubechies I.Orthonormal bases of compactly supported wavelets.Communication on Pure and AppliedMathematics,1988,12:909-996
2Mallat S. A Theory for multiresolution signal decomposition: The wavelet representation. IEEE Transac-tions on Pattern Analysis and Machine Intelligence, 1989, 11(7)
3Mallat S and Zhong S.Characterization of signals form multiscale edges.IEEE Transactions on PatternAnalysis and Machine Intelligence, 1992, 14(7)
4Mallat S and Hwang W L. Singularity detection and processing with wavelets. IEEE Transactions on Information Theory, 1992,38(2)
5李世雄,刘家琦编著.小波变换和反演数学基础,地质出版社,1994
6秦前清,杨宗凯.实用小波分析,西安电子科技出版社,1994
2Mallat S. A Theory for multiresolution signal decomposition: The wavelet representation. IEEE Transac-tions on Pattern Analysis and Machine Intelligence, 1989, 11(7)
3Mallat S and Zhong S.Characterization of signals form multiscale edges.IEEE Transactions on PatternAnalysis and Machine Intelligence, 1992, 14(7)
4Mallat S and Hwang W L. Singularity detection and processing with wavelets. IEEE Transactions on Information Theory, 1992,38(2)
5李世雄,刘家琦编著.小波变换和反演数学基础,地质出版社,1994
6秦前清,杨宗凯.实用小波分析,西安电子科技出版社,1994
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