17 citations · 44 across the 12 of their papers we have counts for
12 papers
Regularized Shannon sampling formulas related to the special affine Fourier transform
Frank Filbir, Manfred Tasche, Anna Veselovska
In this paper, we present new regularized Shannon sampling formulas related to the special affine Fourier transform (SAFT). These sampling formulas use localized sampling with spec…
Marcinkiewicz--Zygmund inequalities for scattered and random data on the -sphere
Frank Filbir, Ralf Hielscher, Thomas Jahn +1
The recovery of multivariate functions and estimating their integrals from finitely many samples is one of the central tasks in modern approximation theory. Marcinkiewicz--Zygmund…
The system of translates and the special affine Fourier transform
Md Hasan Ali Biswas, Frank Filbir, Radha Ramakrishnan
The translation operator associated with the special affine Fourier transform (SAFT) is introduced from harmonic analysis point of view. The analogues of Wend…
Image Recovery for Blind Polychromatic Ptychography
Frank Filbir, Oleh Melnyk
Ptychography is a lensless imaging technique, which considers reconstruction from a set of far-field diffraction patterns obtained by illuminating small overlapping regions of the…
Inverse Multislice Ptychography by Layer-wise Optimisation and Sparse Matrix Decomposition
Arya Bangun, Oleh Melnyk, Benjamin März +5
We propose algorithms based on an optimisation method for inverse multislice ptychography in, e.g. electron microscopy. The multislice method is widely used to model the interactio…
Super-Resolution on the Two-Dimensional Unit Sphere
Frank Filbir, Kristof Schröder, Anna Veselovska
We study the problem of recovering an atomic measure on the unit 2-sphere given finitely many moments with respect to spherical harmonics. The analysis relies on the…