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为了对地震数据进行高保真重建,本文给出了分形插值函数的一种替代形式,即利用某一函数的逐段积分表达形式构建相应的分形插值函数,这种形式在以往的地震数据处理文献中未曾提及.这类分形插值函数在分形和线性插值之间建立了一种简单的关系.实际上,利用这种简单关系,许多分形插值函数问题可以简化为一种简单的向量/矩阵表示.此外,利用这种替代形式,借助于压缩因子的显式表达,我们可以进行高精度的地震数据重建.本文借助于这种分形插值函数的替代形式,发展了一种新的地震数据重建和重采样的方法.为了检验本文方法的有效性,我们采用济阳凹陷10个在一条线上的地震台站的数据对该方法进行了检验,实际地震图重建结果表明了本文提出方法的有效性.
In order to reconstruct the high-fidelity seismic data, an alternative form of fractal interpolation function is given in this paper. The fractal interpolation function is constructed by using the piecewise integral expression of a certain function. , A simple relationship between fractal and linear interpolation is established by this type of fractal interpolation function.In fact, with this simple relationship, many fractal interpolation function problems can be reduced to a simple vector / matrix representation In addition, with this alternative form, with the aid of the explicit expression of the compression factor, we can reconstruct the seismic data with high precision.In this paper, by means of the alternative form of fractal interpolation function, a new seismic data reconstruction and Resampling method.In order to test the effectiveness of the proposed method, we test the method using 10 seismic stations in a single line in the Jiyang Depression. The results of the actual seismic image reconstruction show the effectiveness of the proposed method .