Local wavefield operators, radon transforms and sparsity

Local Wavefield Operators Radon Transforms and Sparsity Mauricio D. Sacchi (Department of Physics University of Alberta) Sam T. Kaplan (Department of Physics University of Alberta) and Ulrich Theune (Statoil Research Center Trondheim) SUMMARY____________________________________________________________ The Radon transform is a powerful method that has been used to filter coherent noise from seismic records and to reconstruct seismic data. In addition it has a long history in image processing as a tool for feature extraction. An important shortcoming in exploration seismology however is the requirement of simple integration paths that often do not match the spatiotemporal structure of seismic waveforms. The latter can