Abstract
In this paper we apply a new regularization method, regularization for surface representations to two-dimensional parameter estimation problems where the parameter is supposed to have jumps. This method is well suited for ill-posed problems with discontinuous solutions. It is a generalization of the recently developed method, regularization for curve representations, which has been successfully applied to linear and nonlinear one-dimensional ill-posed problems. We prove convergence of the finite-dimensional Tikhonov regularized solutions and present some numerical results.
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