A high-resolution transform is applied 102 to transform seismic data from a time-space domain to a different domain such that the method is amplitude preserving. Regions of noise and true signal are determined 104 and the regions of noise are scaled down 106, then the seismic data is reverse transformed back to the time-space domain 108. Preferably the transform is a Radon transform and the data is preferably transformed to the tau-p domain. The method may be used with irregular data and can be applied in up to five dimensions (e.g. inline, cross-line, offset-x, offset-y and time). In another aspect, the true signal may be scaled down 112 in the transform domain, generating a noise model with may be reverse transformed and then subtracted from the original data.
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