Own homepage

Current projects

	FELFocus: Automatisierte Justage der Fokussierungsoptiken von Freie-Elektronen-Lasern mit Hilfe von 'machine learning'-Algorithmen (2022-2025) BMBF-Verbundprojekt 05K2022, Subproject 2
	EXPOWER: EXPOnential analysis emPOWERing innovation (2021-2025) EU project (H2020-MSCA-RISE)
	Low-rank and sparsity-based models in Magnetic Resonance Imaging (2021-2024) DFG project (subproject B03) within the CRC 1456 (Mathematics of Experiment, first funding period)
	Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2024) DFG Research Training Group 2088 (RTG 2088)

Teaching

	Lecture: Mathematik für Studierende der Informatik II (German) (SS 2024) Monday and Thursday 10.15 - 11.45, MN 67 (Lecture: 4 SWS / 9 ECTS)
	Research seminar: Numerical Analysis (English) (SS 2024) Tuesday 12.30 - 14.00 (2 SWS)

Publications

	MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration. Gerlind Plonka, Yannick Nicola Riebe University of Göttingen, Institute for Numerical and Applied Mathematics, 2024 (preprint available at arXiv)
	CircWaveDL: Modeling of Optical Coherence Tomography Images Based on a New Supervised Tensor-based Dictionary Learning for Classification of Macular Abnormalities. Roya Arian, Aliraza Vard, Rahele Kafieh, Gerlind Plonka, Hossein Rabbani University of Göttingen, Institute for Numerical and Applied Mathematics, 2023
	Differential approximation of the Gaussian by short cosine sums with exponential error decay. Nadiia Derevianko, Gerlind Plonka University of Göttingen, Institute for Numerical and Applied Mathematics, 2023 (preprint available at arXiv)
	Application of deep dictionary learning and predefined filters for classification of retinal optical coherence tomography images. Zahra Baharlouei, Fariba Shaker, Gerlind Plonka, Hossein Rabbani University of Göttingen, Institute for Numerical and Applied Mathematics, 2023
	X-let’s atom combinations for modeling and denoising of OCT images by modified morphological component analysis. Raha Razavi, Gerlind Plonka, Hossein Rabbani IEEE Transactions on Medical Imaging 43(2), 760-770, 2024 ( paper online, DOI: 10.1109/TMI.2023.3320977)
	A New Convolutional Neural Network Based on Combination of Circlets and Wavelets for Macular OCT Classification. Roya Arian, Aliraza Vard, Rahele Kafieh, Gerlind Plonka, Hossein Rabbani Scientific Reports 13, 22582, 2023 ( open access, DOI: 10.1038/s41598-023-50164-7)
	Numerical Fourier Analysis. Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche Birkhäuser, Basel, 2023 ( book, second edition, 664 pages, Doi: 10.1007/978-3-031-35005-4)
	Wavelet scattering transform application in classification of retinal abnormalities using OCT images. Zahra Baharlouei, Gerlind Plonka, Hossein Rabbani Scientific Reports 13, 19013, 2023 ( open access, DOI: 10.1038/s41598-023-46200-1)
	From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation Nadiia Derevianko, Gerlind Plonka, Markus Petz IMA Journal of Numerical Analysis, 43(2), 789–827, 2023 (preprint available at arXiv)
	Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models Gerlind Plonka, Yannick Nicola Riebe, Yurii Kolomoitsev Analysis and Applications 21(01), 127-163, 2023 (preprint available at arXiv)
	ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. Nadiia Derevianko, Gerlind Plonka, Raha Razavi Numerical Algorithms 92, 437-470, 2023 (preprint available at arXiv)
	Combining Non-Data-Adaptive Transforms for OCT Image Denoising by Iterative Basis Pursuit Raha Razavi, Hossein Rabbani, Gerlind Plonka 2022 IEEE International Conference on Image Processing (ICIP), pp. 2351-2355, 2022 (DOI: 10.1109/ICIP46576.2022.9897319)
	Detection of Retinal Abnormalities in OCT Images Using Wavelet Scattering Network Zahra Baharlouei, Hossein Rabbani, Gerlind Plonka 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), pp. 3862-3865, 2022 (DOI: 10.1109/EMBC48229.2022.9871989)
	Automatic Classification of Macular Diseases from OCT Images Using CNN Guided with Edge Convolutional Layer Ebrahim Nasr Esfahani, Parisa Ghaderi Daneshmand, Hossein Rabbani, Gerlind Plonka 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), pp. 3858-3861, 2022 (DOI: 10.1109/EMBC48229.2022.9871322)
	Reconstruction of Connected Digital Lines Based on Constrained Regularization. Mojtaba Lashgari, Hossein Rabbani, Gerlind Plonka, Ivan Selesnick IEEE Transactions on Image Processing 31, 5613-5628, 2022
	Retinal Optical Coherence Tomography image analysis by Restricted Boltzmann Machine. Mansooreh Ezhet, Gerlind Plonka, Hossein Rabbani Biomedical Optics Express 13(9), 4539-4558, 2022
	Exact Reconstruction of Extended Exponential Sums Using Rational Approximation of their Fourier Coefficients Nadiia Derevianko, Gerlind Plonka Analysis and Applications 20(3), 543-577, 2022 (preprint available at arXiv)
	Frame soft shrinkage operators are proximity operators Jakob Geppert, Gerlind Plonka Appl. Comput. Harmon. Anal. 57, 185–200, 2022 (preprint available at arXiv)
	Rational Functions for the Reconstruction of Exponential Sums from their Fourier Coefficients Markus Petz, Gerlind Plonka, Nadiia Derevianko PAMM · Proc. Appl. Math. Mech. 21:1 e202100078, 2021 (DOI: 10.1002/pamm.202100078)
	Statistical modeling of retinal optical coherence tomography using the Weibull mixture model Sahar Jordani, Zahra Amini, Gerlind Plonka, Hossein Rabbani Biomedical Optics Express 12(9), 5470-5488, 2021 (open access https://doi.org/10.1364/BOE.430800)
	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
	Sparse Fast DCT for Vectors with One-block Support Sparse fast DCT algorithm for vectors with one-block support, implemented in MATLAB and Python. Sina Bittens, Gerlind Plonka
	Sparse FFT for Vectors with Reflected Two-block Support Sparse FFT algorithm for vectors with reflected two-block support, implemented in MATLAB and Python. Sina Bittens, Gerlind Plonka
	Real Sparse DCT for Vectors with Short Support Real sparse DCT algorithm for vectors with short support, implemented in MATLAB and Python. Sina Bittens, Gerlind Plonka
	Deterministic Sparse Sublinear FFT with Improved Numerical Stability Deterministic sparse sublinear FFT for M-sparse vectors with improved numerical stability, implemented in Python. Gerlind Plonka, Therese von Wulffen
	Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients, implemented in MATLAB. Markus Petz, Gerlind Plonka, Nadiia Derevianko
	Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients, implemented in MATLAB. Nadiia Derevianko, Gerlind Plonka
	From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation, implemented in MATLAB. Nadiia Derevianko, Gerlind Plonka, Markus Petz
	MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration, implemented in MATLAB. Gerlind Plonka, Yannick Nicola Riebe