REGULARIZATION FOR SURFACE REPRESENTATIONS OF DISCONTINUOUS SOLUTIONS OF LINEAR ILL-POSED PROBLEMS

DOI10.1081/NFA-100103789zbMath0986.65056MaRDI QIDQ2748923

Stefan Kindermann, Andreas Neubauer

Publication date: 28 May 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultsnonlinearlineardiscontinuous solutionsTikhonov regularizationill-posed problemssurface representations

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (3)

Solution of Ill-Posed Problems via Adaptive Grid Regularization: Convergence Analysis ⋮ Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization ⋮ Estimation of discontinuous solutions of ill-posed problems via adaptive grid regularization

Cites Work

• Unnamed Item
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• Nonlinear total variation based noise removal algorithms
• Finite-dimensional approximation of tikhonov regularized solutions of non-linear ill-posed problems
• Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems
• Analysis of bounded variation penalty methods for ill-posed problems
• Regularization of linear least squares problems by total bounded variation
• Fast, robust total variation-based reconstruction of noisy, blurred images
• Identification of discontinuous parameters by regularization for curve representations

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