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- Title
Reconstruction of smooth and discontinuous components of solutions to linear ill-posed problems.
- Authors
Vasin, V.
- Abstract
The article discusses the reconstruction of discontinuous and smooth components of solutions for the problems posed by linear operator equations. It states that the situation presents difficulties in the construction of algorithms such as the Tikhonov regularization, which is based on variational methods. It mentions that the studies, in relation to reconstruction of signal processing and noisy images, use a technique where a stabilizer is used in the form of functionals, wherein one of which is intended for smooth component and the other is for component with singularities.
- Subjects
RECONSTRUCTION (Graph theory); DISCONTINUOUS functions; SMOOTHNESS of functions; TIKHONOV regularization; NUMERICAL solutions to equations; MATHEMATICAL singularities; MATHEMATICAL models of signal processing; LINEAR operators; ALGORITHMS; FUNCTIONALS
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 1, p23
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413010146