Prof. Dr. Gerlind Plonka

University of Göttingen, Institute for Numerical and Applied Mathematics

October 20, 2024

Preprints:

[1]  Gerlind Plonka, Anahita Riahi.

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

[2]  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)

[3]  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).