Frame decompositions of bounded linear operators in Hilbert spaces with applications in tomography
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Publication:5859749
DOI10.1088/1361-6420/abe5b8zbMath1462.42053arXiv2010.06345OpenAlexW3092924038MaRDI QIDQ5859749
Publication date: 20 April 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06345
computerized tomographysingular-value decompositioninverse and ill-posed problemsframe decompositionatmospheric tomography
Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) General harmonic expansions, frames (42C15)
Related Items (3)
On regularization via frame decompositions with applications in tomography ⋮ Translation invariant diagonal frame decomposition of inverse problems and their regularization ⋮ Characterizations of adjoint Sobolev embedding operators with applications in inverse problems
Cites Work
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- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Multi-frame representations in linear inverse problems with mixed multi-constraints
- Recovering edges in ill-posed inverse problems: Optimality of curvelet frames.
- Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
- Estimation of the loss function when using wavelet-vaguelette decomposition for solving ill-posed problems
- The Mathematics of Computerized Tomography
- On the Singular Value Decomposition of n-Fold Integration Operators
- Inverse problems in astronomical adaptive optics
- Wavelet decomposition approaches to statistical inverse problems
- Ten Lectures on Wavelets
- Frames: A maximum entropy statistical estimate of the inverse problem
- Adaptive Solution of Operator Equations Using Wavelet Frames
- Patch-Ordering-Based Wavelet Frame and Its Use in Inverse Problems
- A frame decomposition of the atmospheric tomography operator
- Time-dependent Problems in Imaging and Parameter Identification
- A Singular-Value-Type Decomposition for the Atmospheric Tomography Operator
- Regularization by fractional filter methods and data smoothing
- A variational formulation for frame-based inverse problems
- An introduction to frames and Riesz bases
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