Abstract
We compare a 3D sparse time-domain Radon interpolator (TDRI) with frequency-domain matching pursuit Fourier interpolation (MPFI) using synthetic data and field data. MPFI and the similar anti-leakage Fourier transform are widely used beyond aliasing interpolators. Though TDRI is not new, it is not widely used, possibly because of its computational cost. It is illustrated with a simple synthetic example that TDRI can provide a sparser representation than MPFI in the transform domain. From compressive sampling theory, we know that this may provide better reconstruction of undersampled data. TDRI and MPFI are applied to complex and highly aliased synthetic and marine data. For both datasets, the results of TDRI are significantly better than the results of MPFI. In particular, steeply dipping events are better reconstructed, continuity of events is improved and artefacts are reduced.
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