Andreas Neubauer, Otmar Scherzer,
"Regularization for curve representations: Uniform convergence for discontinuous solutions of ill-posed problems"
, in SIAM Journal on Applied Mathematics, 1998, A. Neubauer and O. Scherzer, Regularization for curve
representations: Uniform convergence for discontinuous solutions of
ill-posed problems, SIAM J. Appl. Math. 58 (1998), 1891-1900
Original Titel:
Regularization for curve representations: Uniform convergence for discontinuous solutions of ill-posed problems
Sprache des Titels:
Englisch
Englische Kurzfassung:
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 parametrization (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.
Journal:
SIAM Journal on Applied Mathematics
Erscheinungsjahr:
1998
Notiz zum Zitat:
A. Neubauer and O. Scherzer, Regularization for curve
representations: Uniform convergence for discontinuous solutions of
ill-posed problems, SIAM J. Appl. Math. 58 (1998), 1891-1900