University of Göttingen - Institute for Numerical and Applied Mathematics
Gerlind Plonka-Hoch

Own homepage

Current projects
RTG 2088: Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2020)
Speaker of the DFG Research Training Group
Fresnel wavelets for coherent diffractive imaging (2011-2019)
DFG project (subproject C11) within the CRC 755 (Nanoscale Photonic Imaging, second and third funding period)
Efficient function reconstruction using eigenfunctions of linear operators (2014-2017)
DFG project
Prony-like methods for noisy data (2015-2017)
CSC grant
Teaching
Lecture: Approximation methods II (English) (WS 2017/2018)
Tuesday and Friday 8.15 - 9.55, MN 55 (Lecture: 4 SWS + Exercises: 2 SWS / 9 ECTS)
Research seminar: Numerical Analysis (English) (WS 2017/2018)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Publications
Graph regularized seismic dictionary learning
Lina Liu, Jianwei Ma, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2017 (preprint as download)
Application of the AAK theory for sparse approximation of exponential sums
Gerlind Plonka, Vlada Pototskaia
University of Göttingen, Institute for Numerical and Applied Mathematics, 2016 (preprint as download)
Deterministic sparse FFT for M-sparse vectors
Gerlind Plonka, Katrin Wannenwetsch, Annie Cuyt, Wen-Shin Lee
Numerical Algorithms, to appear, 2017 (revised preprint as download)
Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain
Robert Beinert, Gerlind Plonka
Applied and Computational Harmonic Analysis, to appear, 2017 (preprint as download (arXiv))
Seismic data interpolation and denoising by learning a tensor tight frame
Lina Liu, Gerlind Plonka, Jianwei Ma
Inverse Problems, to appear, 2017 (preprint as download)
A sparse Fast Fourier algorithm for real nonnegative vectors
Gerlind Plonka, Katrin Wannenwetsch
Journal of Computational and Applied Mathematics 321, 532-539, 2017 (preprint as download)
Sparse phase retrieval of one-dimensional signals by Prony's method
Robert Beinert, Gerlind Plonka
Frontiers of Applied Mathematics and Statistics 3:5, 2017 (open access, preprint as download)
Iterative Phase Retrieval with Sparsity Constraints
Stefan Loock, Gerlind Plonka
PAMM 16(1), 835-836, 2016 (DOI: 10.1002/pamm.201610406)
Sparse approximation by Prony's method and AAK theory
Gerlind Plonka, Vlada Pototskaia
Oberwolfach Reports, Volume 33, pp. 16-19, 2016 (preprint as download)
Using sparsity information for iterative phase retrieval in x-ray propagation imaging
Anne Pein, Stefan Loock, Gerlind Plonka, Tim Salditt
Opt. Express 24(8), 8332-8343., 2016 (open access)
Pseudo-inverses of difference matrices and their application to sparse signal approximation
Gerlind Plonka, Sebastian Hoffmann, Joachim Weickert
Linear Algebra and its Applications 503, 26-47, 2016 (preprint as download)
Reconstruction of polygonal shapes from sparse Fourier samples
Marius Wischerhoff, Gerlind Plonka
Journal of Computational and Applied Mathematics 297, 117-131, 2016 (preprint as download)
Relation between total variation and persistence distance and its application in signal processing
Gerlind Plonka, Yi Zheng
Advances in Computational Mathematics 42(3), 651-674, 2016 (preprint (2014) as download)
A deterministic sparse FFT algorithm for vectors with small support
Gerlind Plonka, Katrin Wannenwetsch
Numerical Algorithms 71(4), 889-905, 2016 (preprint as download)
Deterministic sparse FFT algorithms
Gerlind Plonka, Katrin Wannenwetsch
Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 667-668, October 2015 (DOI: 10.1002/pamm.201510323, preprint as download)
Prony's Method for Multivariate Signals
Thomas Peter, Gerlind Plonka, Robert Schaback
Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 665-666, October 2015 (DOI: 10.1002/pamm.201510322, preprint as download)
Ambiguities in one-dimensional phase retrieval of structured functions
Robert Beinert, Gerlind Plonka
Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 653-654, October 2015 (DOI: 10.1002/pamm.201510316, preprint as download)
A deterministic sparse FFT algorithm for vectors with short support
Gerlind Plonka, Katrin Wannenwetsch
Oberwolfach Reports, Volume 38, pp. 41-44, 2015
Curvelets
Gerlind Plonka, Jianwei Ma
Encyclopedia of Applied and Computational Mathematics, B. Engquist (eds.), 2015 (pp. 320-321, Springer Berlin, DOI 10.1007/978-3-540-70529-1)
Discrete Green's functions for harmonic and biharmonic inpainting with sparse atoms
Sebastian Hoffmann, Gerlind Plonka, Joachim Weickert
X.-C. Tai et al. (Eds.): Energy Minimization Methods in Computer Vision and Pattern Recognition. LNCS 8932, Springer, Berlin, pp. 169-182, 2015 (preprint as download)
further publications...
Software
Easy Path Wavelet Transform (EPWT)
Wavelet shrinkage on paths for denoising of scattered data including an adaptive deterministic and an adaptive random path construction.
Dennis Heinen, Gerlind Plonka, Stefanie Tenorth
Sparse FFT (small support)
A new deterministic sparse FFT algorithm for vectors with small support.
Katrin Wannenwetsch, Gerlind Plonka
Sparse FFT (real non-negative)
A new deterministic sparse FFT algorithm for real non-negative vectors.
Katrin Wannenwetsch, Gerlind Plonka
Deterministic Sparse FFT
Deterministic sparse FFT for M-sparse vectors, implemented in MATLAB.
Gerlind Plonka, Katrin Wannenwetsch



Prof. Dr. Gerlind Plonka-Hoch

University of Göttingen
Institute for Numerical and Applied Mathematics
Lotzestr. 16-18
37083 Göttingen
Raum 117

Tel.: 0551-39-22115
plonka AT math.uni-goettingen.de