Minimum support nonlinear parametrization in the solution of a 3D magnetotelluric inverse problem

  title={Minimum support nonlinear parametrization in the solution of a 3D magnetotelluric inverse problem},
  author={Michael S. Zhdanov and Ekaterina V. Tolstaya},
  journal={Inverse Problems},
In this paper we describe a new approach to sharp boundary geophysical inversion. We demonstrate that regularized inversion with a minimum support stabilizer can be implemented by using a specially designed nonlinear parametrization of the model parameters. This parametrization plays the same role as transformation into the space of the weighted model parameters, introduced in the original papers on focusing inversion. It allows us to transform the nonquadratic minimum support stabilizer into… 

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