Solution Steering with Space-variant Lters

Most geophysical problem require some type of regularization. Unfortunately most regularization schemes produce \smeared" results that are often undesirable when applying other criteria (such as geologic feasibility). By forming regulariza-tion operators in terms of recursive steering lters, built from a priori information sources, we can eeciently guide the solution towards a more appealing form. The steering methodology proves eeective in interpolating low frequency functions, such as velocity, but performs poorly when encountering multiple dips and high frequency data. Preliminary results using steering lters for regularization in tomography problems are encouraging.