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Shaping Regularization in Geophysical Estimation Problems
By Sergey Fomel
Abstract:
Regularization is a required component of geophysical estimation problems that operate with
insufficient data. The goal of regularization is to impose additional constraints on the estimated model.
I introduce shaping regularization, a method for imposing constraints by explicit projection to the space
of admissible models. Shaping regularization is integrated in a conjugate-gradient algorithm for iterative
least-squares estimation. It provides the advantage of both improved efficiency and a better control of
the estimated model. Simple data regularization and seismic velocity estimation examples illustrate the
concept.
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