16 citations · 105 across the 23 of their papers we have counts for
5 papers · 1 filter
Fast Summation of Radial Kernels via QMC Slicing
Johannes Hertrich, Tim Jahn, Michael Quellmalz
The fast computation of large kernel sums is a challenging task, which arises as a subproblem in any kernel method. We approach the problem by slicing, which relies on random proje…
Slicing of Radial Functions: a Dimension Walk in the Fourier Space
Nicolaj Rux, Michael Quellmalz, Gabriele Steidl
Computations in high-dimensional spaces can often be realized only approximately, using a certain number of projections onto lower dimensional subspaces or sampling from distributi…
Generalized Fourier Diffraction Theorem and Filtered Backpropagation for Tomographic Reconstruction
Clemens Kirisits, Michael Quellmalz, Eric Setterqvist
This paper concerns diffraction-tomographic reconstruction of an object characterized by its scattering potential. We establish a rigorous generalization of the Fourier diffraction…
Time-Harmonic Optical Flow with Applications in Elastography
Oleh Melnyk, Michael Quellmalz, Gabriele Steidl +3
In this paper, we propose mathematical models for reconstructing the optical flow in time-harmonic elastography. In this image acquisition technique, the object undergoes a special…
Parallelly Sliced Optimal Transport on Spheres and on the Rotation Group
Michael Quellmalz, Léo Buecher, Gabriele Steidl
Sliced optimal transport, which is basically a Radon transform followed by one-dimensional optimal transport, became popular in various applications due to its efficient computatio…