On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems
نویسندگان
چکیده
منابع مشابه
On Level-Set Type Methods for Recovering Piecewise Constant Solutions of Ill-Posed Problems
We propose a regularization method for solving ill-posed problems, under the assumption that the solutions are piecewise constant functions with unknown level sets and unknown level values. A level set framework is established for the inverse problem and a Tikhonov regularization approach is proposed. Existence of generalized minimizers for the Tikhonov functional is proven. Moreover, we establ...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2012
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/29/1/015003