Geophysical Prospecting: Two‐dimensional fast generalized Fourier interpolation of seismic recordsThe fast generalized Fourier transform algorithm is extended to two‐dimensional data cases. The algorithm provides a fast and non‐redundant alternative for the simultaneous time‐frequency and space‐wavenumber analysis of data with time‐space dependencies. The transform decomposes data based on local slope information and therefore making it possible to extract the weight function based on dominant dips from alias‐free low frequencies. By projecting the extracted weight function to alias‐contaminated high frequencies and utilizing a least‐squares fitting algorithm, a beyond‐alias interpolation method is accomplished. Synthetic and real data examples are provided to examine the performance of the proposed interpolation method.
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