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03/09/2023
A Frame Decomposition of the Funk-Radon Transform
The Funk-Radon transform assigns to a function defined on the unit spher...
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06/08/2022
A projected Nesterov-Kaczmarz approach to stellar population-kinematic distribution reconstruction in Extragalactic Archaeology
In this paper, we consider the problem of reconstructing a galaxy's stel...
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05/19/2022
A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration
The choice of a suitable regularization parameter is an important part o...
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02/10/2022
Characterizations of Adjoint Sobolev Embedding Operators for Inverse Problems
We consider the Sobolev embedding operator E_s : H^s(Ω) → L_2(Ω) and its...
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08/05/2021
On Regularization via Frame Decompositions with Applications in Tomography
In this paper, we consider linear ill-posed problems in Hilbert spaces a...
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03/26/2021
Challenges for Optical Flow Estimates in Elastography
In this paper, we consider visualization of displacement fields via opti...
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10/28/2020
A mathematical approach towards THz tomography for non-destructive imaging
In this paper, we consider the imaging problem of terahertz (THz) tomogr...
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10/13/2020
Frame Decompositions of Bounded Linear Operators in Hilbert Spaces with Applications in Tomography
We consider the decomposition of bounded linear operators on Hilbert spa...
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08/17/2020
Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography
In this paper, we consider the problem of estimating the internal displa...
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02/03/2020
A Frame Decomposition of the Atmospheric Tomography Operator
We consider the problem of atmospheric tomography, as it appears for exa...
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01/09/2020