16 citations · 105 across the 23 of their papers we have counts for
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Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object
Robert Beinert, Michael Quellmalz
We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus li…
Motion Detection in Diffraction Tomography by Common Circle Methods
Michael Quellmalz, Peter Elbau, Otmar Scherzer +1
The method of common lines is a well-established reconstruction technique in cryogenic electron microscopy (cryo-EM), which can be used to extract the relative orientations of an o…
Accelerating the Sinkhorn algorithm for sparse multi-marginal optimal transport by fast Fourier transforms
Fatima Antarou Ba, Michael Quellmalz
We consider the numerical solution of the discrete multi-marginal optimal transport (MOT) by means of the Sinkhorn algorithm. In general, the Sinkhorn algorithm suffers from the cu…
Total variation-based reconstruction and phase retrieval for diffraction tomography
Robert Beinert, Michael Quellmalz
In optical diffraction tomography (ODT), the three-dimensional scattering potential of a microscopic object rotating around its center is recovered by a series of illuminations wit…