Simon Hubmer | DeepAI

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Otmar Scherzer
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Kirk M. Soodhalter
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Stefan Kindermann
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Ekaterina Sherina
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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...

0 Michael Quellmalz, et al. ∙

∙ 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...

0 Fabian Hinterer, et al. ∙

∙ 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...

0 Simon Hubmer, et al. ∙

∙ 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...

0 Simon Hubmer, et al. ∙

∙ 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...

0 Simon Hubmer, et al. ∙

∙ 03/26/2021

Challenges for Optical Flow Estimates in Elastography

In this paper, we consider visualization of displacement fields via opti...

0 Ekaterina Sherina, et al. ∙

∙ 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...

0 Simon Hubmer, et al. ∙

∙ 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...

0 Simon Hubmer, et al. ∙

∙ 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...

0 Ekaterina Sherina, et al. ∙

∙ 02/03/2020

A Frame Decomposition of the Atmospheric Tomography Operator

We consider the problem of atmospheric tomography, as it appears for exa...

0 Simon Hubmer, et al. ∙

∙ 01/09/2020

A note on the minimization of a Tikhonov functional with ℓ^1-penalty

In this paper, we consider the minimization of a Tikhonov functional wit...

0 Fabian Hinterer, et al. ∙

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