Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems
نویسندگان
چکیده
This paper is concerned with a new approach for regularizing problems with discontinuous solutions: regularization for curve representations. The idea of this approach is to represent a (discontinous) function as a curve with parameterization (a(t), b(t)). A combination with nonlinear Tikhonov regularization then yields uniform convergence of the regularized solutions. The method is applied to deblurring and denoising problems in signal processing. A numerical example for a deblurring problem is presented.
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عنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 58 شماره
صفحات -
تاریخ انتشار 1998