Non-Local Means Denoising of Seismic Data
David C. Bonar, Mauricio D. Sacchi, Mostafa Naghizadeh, Mauricio D. Sacchi · 2012
Summary We introduce a strategy for beyond-alias interpolation of seismic data using singular spectrum analysis. First, in the frequency-space (f-x) domain, a Hankel matrix is built from the spatial samples of the low frequencies. To perform interpolation at each specific frequency, the spatial samples are interlaced with zero samples. Then, another Hankel matrix is built form the zero-interlaced vector of data in a given frequency. Next, the rank-reduced eigenstate of the Hankel matrix at low frequencies is used for beyond-alias conditioning of the Hankel matrix at given frequency. Finally, an anti-diagonal summation of the conditioned Hankel matrix gives the final interpolated data. Synthetic and real data examples are provided to examine the performance of the proposed interpolation method.