4 papers
Image reconstruction from structured subsampled 2D Fourier data
Gerlind Plonka, Anahita Riahi
In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we fo…
Phasebook: A Survey of Selected Open Problems in Phase Retrieval
Marc Allain, Selin Aslan, Wim Coene +13
Phase retrieval is an inverse problem that, on one hand, is crucial in many applications across imaging and physics, and, on the other hand, leads to deep research questions in the…
Differential approximation of the Gaussian by short cosine sums with exponential error decay
Nadiia Derevianko, Gerlind Plonka
In this paper, we propose a method to approximate the Gaussian function on by a short cosine sum. We generalise and extend the differential approximation method propo…
Deterministic Sparse Sublinear FFT with Improved Numerical Stability
Gerlind Plonka, Therese von Wulffen
In this paper we extend the deterministic sublinear FFT algorithm in Plonka et al. (2018) for fast reconstruction of -sparse vectors of length , where we a…