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04/18/2023
Sliced Optimal Transport on the Sphere
Sliced optimal transport reduces optimal transport on multi-dimensional ...
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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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01/16/2023
A double Fourier sphere method for d-dimensional manifolds
The double Fourier sphere (DFS) method uses a clever trick to transform ...
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10/07/2022
Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object
We consider the imaging problem of the reconstruction of a three-dimensi...
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09/16/2022
Motion Detection in Diffraction Tomography by Common Circle Methods
The method of common lines is a well-established reconstruction techniqu...
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08/05/2022
Accelerating the Sinkhorn algorithm for sparse multi-marginal optimal transport by fast Fourier transforms
We consider the numerical solution of the discrete multi-marginal optima...
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01/27/2022
Total variation-based phase retrieval for diffraction tomography
In optical diffraction tomography (ODT), the three-dimensional scatterin...
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10/15/2021
Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion
In this paper, we study the mathematical imaging problem of diffraction ...
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08/12/2021
Approximation properties of the double Fourier sphere method
We investigate analytic properties of the double Fourier sphere (DFS) me...
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04/16/2021