Prof. Dr. Gerlind Plonka

University of Göttingen, Institute for Numerical and Applied Mathematics

June 20, 2025

Preprints:

[1]  Gerlind Plonka, Anahita Riahi.

Image reconstruction from structured subsampled 2D Fourier data.
preprint, 2025, submitted for publication. Download PDF

[2]  Marc Allain, Selin Aslan, Wim Coene, Sjoerd Dirksen, Jonathan Dong, Julien Flamant, Mark Iwen, Felix Krahmer, Tristan van Leeuwen, Oleh Melnyk, Andreas Menzel, Allard P. Mosk, Viktor Nikitin, Gerlind Plonka, Palina Salanevich, Matthias Wellershoff

Phasebook: A Survey of Selected Open Problems in Phase Retrieval.
preprint, 2025, submitted for publication. (arXiv preprint#2505.15351)

[3]  Gerlind Plonka, Yannick Riebe.

MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration.
preprint, 2024, submitted for publication. (arXiv preprint#2403.12611)

[4]  Nadiia Derevianko, Gerlind Plonka.

Differential approximation of the Gaussian by short cosine sums with exponential error decay.
preprint, 2023, submitted for publication (arXiv preprint#2307.13587)

Technical Reports:

[5]  Marzieh Hasannasab, Sebastian Neumayer Gerlind Plonka, Simon Setzer, Gabriele Steidl, Jakob Geppert.

Frame soft shrinkage as proximity operator.
(arXiv preprint#1910.02843) (results are also contained in:
Parseval proximal neural networks, J. Fourier Anal. Appl. 26, 59 (2020)).

[4]  Gerlind Plonka and Vlada Pototskaia

Application of the AAK theory for sparse approximation of exponential sums.
(arXiv preprint#1609.09603) (results are partially contained in:
Computation of adaptive Fourier series by sparse approximation of exponential sums, J. Fourier Anal. Appl. 25(4) (2019), 1580–1608).

[3] Jianwei Ma, Gerlind Plonka.

A review of curvelets and recent applications.
Download PDF(technical report, 2009) (results are mainly contained in:
The curvelet transform: A review of recent applications, IEEE Signal Processing Magazine 27(2) (March 2010), 118-133).

[2] Gerlind Plonka, Manfred Tasche.

Split-radix algorithms for discrete cosine transforms.
Download PDF (technical report 2002) (results are mainly contained in:
Fast and numerically stable algorithms for discrete cosine transforms, Linear Algebra and its Applications 394 (2005), 309-345).

[1] Gerlind Plonka, Manfred Tasche.

Reversible integer DCT algorithms.
Download PDF (technical report 2002)
(results are mainly contained in: Invertible integer DCT algorithms, Appl. Comput. Harmon. Anal. 15 (2003), 70-88).