Publications


Preprints:

	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, (revised version).
	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,
	Adaptive sampling recovery of functions with higher mixed regularity Nadiia Derevianko, Tino Ullrich University of Göttingen, Institute for Numerical and Applied Mathematics, 2020, preprint available at arXiv.

2024:

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.

2023:

	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.
	Sharp Lp-error estimates for sampling operators Yurii Kolomoitsev, Tetiana Lomako J. Approx. Theory, Available online 26 June 2023, 105941, 2023, preprint available at arXiv.
	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.
	On generalized K-functionals in Lp for 0 < p < 1 Yurii Kolomoitsev, Tetiana Lomako Fract. Calc. Appl. Anal. 26, 1016–1030, 2023, preprint available at arXiv.
	Sparse grid approximation in weighted Wiener spaces Yurii Kolomoitsev, Tetiana Lomako, Sergey Tikhonov J. Fourier Anal. Appl. 29, 19, 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.

2022:

	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,
	Uniform approximation by multivariate quasi-projection operators Yurii Kolomoitsev, Maria Skopina Anal. Math. Phys. 12, no. 2, Paper No. 68, 2022, preprint available at arXiv.
	Approximation by quasi-interpolation operators and Smolyak's algorithm Yurii Kolomoitsev J. of Complexity 69, 101601, 2022, preprint available at arXiv.
	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.

2021:

	Optimal rank-1 Hankel approximation in the spectral norm for matrices with multiple largest eigenvalue Hanna Knirsch PAMM · Proc. Appl. Math. Mech. 21:1 e202100012, 2021, DOI: 10.1002/pamm.202100012.
	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.
	Approximation properties of periodic multivariate quasi-interpolation operators Yurii Kolomoitsev, Jürgen Prestin J. Approx. Theory 270, 105631, 2021, preprint available at arXiv.
	Asymptotics of the Lebesgue constants for bivariate approximation processes Yurii Kolomoitsev, Tetiana Lomako Appl. Math. Comput. 403, 126192, 2021, preprint available at arXiv.
	Hardy-Littlewood and Ulyanov inequalities Yurii Kolomoitsev, Sergey Tikhonov Mem. Amer. Math. Soc. 271, no. 1325, 2021, preprint available at arXiv.
	Asymptotics of the Lebesgue constants for a d-dimensional simplex Yurii Kolomoitsev, Elijah Liflyand Proc. Amer. Math. Soc. 149, 2911-2926, 2021, preprint available at arXiv.
	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.
	Quasi-projection operators in the weighted Lp spaces Yurii Kolomoitsev, Maria Skopina Appl. Comput. Harmon. Anal. 52, 165-197, 2021, preprint available at arXiv.
	Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm and Spectral Norm and Cadzow's Algorithm Hanna Knirsch, Markus Petz, Gerlind Plonka Linear Algebra Appl. 629, 1-39, 2021, preprint available at arXiv.
	Approximation by multivariate quasi-projection operators and Fourier multipliers Yurii Kolomoitsev, Maria Skopina Appl. Math. Comput. 400, 125955, 2021, preprint available at arXiv.
	Exact Reconstruction of Sparse Non-Harmonic Signals from their Fourier Coefficients Markus Petz, Gerlind Plonka, Nadiia Derevianko Sampling Theory, Signal Processing, and Data Analysis 19, 7 (open access), 2021, preprint available at arXiv.
	Deterministic Sparse Sublinear FFT with Improved Numerical Stability Gerlind Plonka, Therese von Wulffen Results Math. 76(2), 53, 2021, open access https://doi.org/10.1007/s00025-020-01330-0.
	Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums Ingeborg Keller, Gerlind Plonka G.E. Fasshauer et al. (eds.), Approximation Theory XVI, Springer Proceedings in Mathematics & Statistics 336, 2021, preprint as download.

2020:

	Smoothness of functions vs. smoothness of approximation processes Yurii Kolomoitsev, Sergey Tikhonov Bull. Math. Sci. 10, no. 3, 2030002, 2020, preprint available at arXiv.
	The Difference between Optimal Rank-1 Hankel Approximations in the Frobenius Norm and the Spectral Norm Hanna Knirsch, Markus Petz, Gerlind Plonka Proc. Appl. Math. Mech. Volume 20, 85-86, 2020, DOI 10.1002/pamm.202000085.
	Iterative Sparse FFT for M-sparse Vectors: Deterministic versus Random Sampling Gerlind Plonka, Therese von Wulffen Proc. Appl. Math. Mech. Volume 20, 134-135, 2020, DOI 10.1002/pamm.202000134.
	Approximation by periodic multivariate quasi-projection operators Yurii Kolomoitsev, Aleksandr Krivoshein, Maria Skopina J. Math. Anal. Appl. 489, no. 2, 124192, 2020, preprint available at arXiv.
	Properties of moduli of smoothness in Lp(Rd) Yurii Kolomoitsev, Sergey Tikhonov J. Approx. Theory 257, 105423, 2020, preprint available at arXiv.
	Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space Nadiia Derevianko, Jürgen Prestin Electron. Trans. Numer. Anal. 52, 249-269, 2020, preprint available as pdf.
	On higher order Faber spline basis for sampling discretization of functions Nadiia Derevianko, Tino Ullrich J. Approx. Theory, 257, 105449, 2020, preprint available at arXiv.
	Approximation by sampling-type operators in Lp-spaces Yurii Kolomoitsev, Maria Skopina Math. Methods Appl. Sciences 43, no. 16, 9358-9374, 2020, preprint available at arXiv.
	Parseval proximal neural networks Marzieh Hasannasab, Johannes Hertrich, Sebastian Neumayer, Gerlind Plonka, Simon Setzer, Gabriele Steidl Fourier Anal Appl 26, 59, 2020, preprint available at arXiv.
	A tree-based dictionary learning framework Renato Budinich, Gerlind Plonka International Journal of Wavelets, Multiresolution and Information Processing 2050041, 2020, preprint as download.
	One-dimensional discrete-time phase retrieval Robert Beinert, Gerlind Plonka In: Salditt T., Egner A., Luke D. (eds) Nanoscale Photonic Imaging. Topics in Applied Physics, vol 134. Springer, Cham, pp. 603-627, 2020, preprint as download.
	The Generalized Operator-Based Prony Method Kilian Stampfer, Gerlind Plonka Constructive Approximation 52, 247-287, 2020, preprint as download.
	Frame soft shrinkage as proximity operator Marzieh Hasannasab, Sebastian Neumayer, Gerlind Plonka, Simon Setzer, Gabriele Steidl, Jakob Geppert University of Göttingen, Institute for Numerical and Applied Mathematics, 2019, preprint available at arXiv.

2019:

	Reconstruction of Non-Stationary Signals by the Generalized Prony Method Ingeborg Keller, Gerlind Plonka, Kilian Stampfer Proc. Appl. Math. Mech. Volume 19, 358--359, 2019, DOI 10.1002/pamm.201900358.
	On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions Nadiia Derevianko, Vitalii Myroniuk, Jürgen Prestin J. Approx. Theory, V. 238, pp. 67-84, 2019, preprint as download.
	Computation of adaptive Fourier series by sparse approximation of exponential sums Gerlind Plonka, Vlada Pototskaia Journal of Fourier Analysis and Applications 25(4), pp. 1580–1608, 2019, preprint as download.
	Real Sparse Fast DCT for Vectors with Short Support Sina Bittens, Gerlind Plonka Linear Algebra and its Applications 582, pp.359-390, 2019, preprint as download (arXiv).
	Sparse Fast Trigonometric Transforms Sina Bittens Dissertation, 2019, published online on 22 July 2019, http://hdl.handle.net/21.11130/00-1735-0000-0003-C16D-9.
	A deterministic sparse FFT for functions with structured Fourier sparsity Sina Bittens, Ruochuan Zhang, Mark Iwen Advances in Computational Mathematics, 45(2), pp. 519-561, 2019, https://doi.org/10.1007/s10444-018-9626-4, preprint as download.
	Optimal approximation with exponential sums by maximum likelihood modification of Prony's method Ran Zhang, Gerlind Plonka Advances in Computational Mathematics 45(3), 1657-1687, 2019, revised preprint as download.
	Reconstruction of stationary and non-stationary signals by the generalized Prony method Gerlind Plonka, Kilian Stampfer, Ingeborg Keller Analysis and Applications 17(2), 179-210, 2019, revised preprint as download.
	Sparse Power Factorization: Balancing peakiness and sample complexity Dominik Stöger, Jakob Geppert, Felix Krahmer Advances in Computational Mathematics 45(3), 1711--1728, 2019, preprint available at arXiv.
	Numerical Fourier Analysis Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche Birkhäuser, Basel, 2019, book, 618 pages.
	Sparse Fast DCT for Vectors with One-block Support Sina Bittens, Gerlind Plonka Numerical Algorithms 82(2), 663–697, 2019, preprint as download (arXiv).

2018:

	Sparse Power Factorization With Refined Peakiness Conditions Dominik Stöger, Jakob Geppert, Felix Krahmer 2018 IEEE Statistical Signal Processing Workshop (SSP), 2018, See at IEEE Xplore.
	Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain Robert Beinert, Gerlind Plonka Applied and Computational Harmonic Analysis 45, 505-525, 2018, preprint as download (arXiv).
	Deterministic sparse FFT for M-sparse vectors Gerlind Plonka, Katrin Wannenwetsch, Annie Cuyt, Wen-Shin Lee Numerical Algorithms 78(1), 133-159, 2018, revised preprint as download.
	Sparse graph-regularized dictionary learning for suppressing random seismic noise Lina Liu, Jianwei Ma, Gerlind Plonka Geophysics 83(3), pp. V215-V231, 2018, preprint as download.

2017:

	Image Compression with the Region Based Easy Path Wavelet Transform Renato Budinich Proc. Appl. Math. Mech. Volume 17, pp. 831-832, December 2017, DOI 10.1002/pamm.201710383.
	Application of the AAK theory and Prony-like Methods for sparse approximation of exponential sums Vlada Pototskaia, Gerlind Plonka Proc. Appl. Math. Mech. Volume 17, pp. 835-836, December 2017, DOI 10.1002/pamm.20171038.
	Sparse phase retrieval of structured signals by Prony’s method Robert Beinert, Gerlind Plonka Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 829-830, December 2017, DOI 10.1002/pamm.201710382.
	Application of AAK theory for sparse approximation Vlada Pototskaia Dissertation, 2017, published online on 27 October 2017, http://hdl.handle.net/11858/00-1735-0000-0023-3F4B-1.
	A region based easy path wavelet transform for sparse image representation Renato Budinich International Journal of Wavelets, Multiresolution and Information Processing 15, 1750045 (2017) [23 pages], 2017, preprint as download.
	Refined performance guarantees for Sparse Power Factorization Jakob Geppert, Felix Krahmer, Dominik Stöger 2017 International Conference on Sampling Theory and Applications (SampTA), 2017, See at IEEE Xplore.
	Seismic data interpolation and denoising by learning a tensor tight frame Lina Liu, Gerlind Plonka, Jianwei Ma Inverse Problems 33(10), 105011, 2017, preprint as download.
	Characterization of local Besov spaces via wavelet basis expansions Nadiia Derevianko, Vitalii Myroniuk, Jürgen Prestin Front. Appl. Math. Stat. 3:4. doi: 10.3389/fams.2017.00004, 2017, preprint available as pdf.
	One-dimensional phase retrieval with additional interference measurements Robert Beinert Results Math. 72(1-2) (2017), 1–24, 2017, preprint as download (arXiv).
	Non-negativity constraints in the one-dimensional discrete-time phase retrieval problem Robert Beinert Information and Inference: A Journal of the IMA 6, 213-224, 2017, preprint as download (arXiv).
	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.
	Ambiguities in one-dimensional phase retrieval from magnitudes of a linear canonical transform Robert Beinert Z. Angew. Math. Mech. (ZAMM), 1–5, 2017, preprint as download (arXiv).
	Sparse FFT for Functions with Short Frequency Support Sina Bittens Dolomites Research Notes on Approximation 10, pp. 43--55, 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.

2016:

	Iterative Phase Retrieval with Sparsity Constraints Stefan Loock, Gerlind Plonka PAMM 16(1), 835-836, 2016, DOI: 10.1002/pamm.201610406.
	Deterministic Sparse FFT Algorithms Katrin Wannenwetsch Dissertation, 2016, published online on 30 September 2016, http://hdl.handle.net/11858/00-1735-0000-002B-7C10-0.
	Application of the AAK theory for sparse approximation of exponential sums Gerlind Plonka, Vlada Pototskaia working paper, 2016, preprint as download (arXiv).
	Sparse approximation by Prony's method and AAK theory Gerlind Plonka, Vlada Pototskaia Oberwolfach Reports, Volume 33, pp. 16-19, 2016, preprint as download.
	Phase Retrieval with Sparsity Constraints Stefan Loock Dissertation, 2016, published online on 29 June 2016.
	Asymmetric chirplet transform II: phase, frequency, and chirp rate Florian Boßmann, Jianwei Ma Geophysics 81(6), V425-V439, 2016, link.
	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.
	Ambiguities in one-dimensional phase retrieval from Fourier magnitudes Robert Beinert Dissertation, 2015, published online on 13 January 2016, http://hdl.handle.net/11858/00-1735-0000-0028-8691-3.
	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.

2015:

	Fast Subspace Approximation via Greedy Least-Squares M. Iwen, Felix Krahmer Constructive Approximation 42(2), 281-301, 2015, preprint as download.
	Asymmetric chirplet transform for sparsity representation of seismic data Florian Boßmann, Jianwei Ma Geophysics 80(6), WD89-WD100, 2015, preprint as download, DOI: 10.1190/geo2015-0063.1.
	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 Partial Derandomization of PhaseLift using Spherical Designs D. Gross, Felix Krahmer, R. Küng J. Fourier Anal. Appl. 21(2), 229-266, 2015, preprint as download.
	Linear Widths of the Classes S^Ω_{p,θ}B of Periodic Functions of Many Variables Nadiia Derevianko, O.I. Cheremshyns’ka Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 4, 165-185 (in Ukrainian), 2015, 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,
	Application of persistent homology in signal and image denoising Yi Zheng Dissertation, 2015, published online on 29 July 2015, http://hdl.handle.net/11858/00-1735-0000-001C-7131-B.
	Computing and Analyzing Recoverable Supports for Sparse Reconstruction Christian Kruschel, D.A. Lorenz Advances in Computational Mathematics 41(6), pp. 1119-1144, 2015, early version: ArXiv.
	Reconstruction of Structured Functions from Sparse Fourier Data Marius Wischerhoff Dissertation, 2014, published online on 19 January 2015, http://hdl.handle.net/11858/00-1735-0000-001C-7131-B.
	Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT J.S. Jørgensen, Christian Kruschel, D.A. Lorenz Inverse Problems in Science and Engineering 23(8), 2015, pp. 1283-1305, open access.
	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.
	Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes Robert Beinert, Gerlind Plonka The Journal of Fourier Analysis and Applications 21(6), 1169-1198, 2015, preprint as download.

2014:

	Phase retrieval for Fresnel measurements using a shearlet sparsity constraint Stefan Loock, Gerlind Plonka Inverse Problems 30 (2014) 055005, 2014, preprint as download.
	An RIP approach to Sigma-Delta quantization for compressed sensing Joe-Mei Feng, Felix Krahmer IEEE Signal Process. Lett. 21(11), 1351-1355, 2014, preprint as download.
	Estimations of Linear Widths of the Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q Nadiia Derevianko Ukr. Math. J. 66, No. 7, 1013-1027, 2014, preprint as download.
	Approximation of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_p Nadiia Derevianko Ukr. Math. J. 66, No. 5, 707-718, 2014, preprint as download.
	Estimates of Linear Widths of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_q Nadiia Derevianko Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 3, 128 - 145 (in Ukrainian), 2014, preprint as download.
	Prony methods for recovery of structured functions Gerlind Plonka, M. Tasche GAMM-Mitt. 37(2), 2014, 239-258, revised preprint as download.
	Adaptive approximation algorithms for sparse data representation M. Guillemard, Dennis Heinen, A. Iske, S. Krause-Solberg, Gerlind Plonka Lecture Notes in Computational Science and Engineering 102, pp. 281-302, 2014, preprint as download.
	Sparse Matrices in Frame Theory Felix Krahmer, G. Kutyniok, J. Lemvig Computational Statistics 29, 547-568, 2014, preprint as download.
	Suprema of Chaos Processes and the Restricted Isometry Property Felix Krahmer, S. Mendelson, H. Rauhut Comm. Pure Appl. Math. 67(11), 1877-1904, 2014, preprint as download.
	Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing Felix Krahmer, R. Saab, Ö. Yilmaz Inform. Inference 3(1), 40-58, 2014, preprint as download.
	Local sampling and approximation of operators with bandlimited Kohn-Nirenberg symbols Felix Krahmer, G. Pfander Constr. Approx. 39(3), 541-572, 2014, preprint as download.
	Stable and robust sampling strategies for compressive imaging Felix Krahmer, R. Ward IEEE Trans. Image Proc. 23(2): 612-622, 2014, preprint as download.

2013:

	Generalized Prony Method Thomas Peter Dissertation, 2013, published in Der Andere Verlag, 2014.
	Model Based Defect Reconstruction in Ultrasonic Non-Destructive Testing Florian Boßmann Dissertation, October 2013, ISBN: 978-3-86247-450-9, Der Andere Verlag.
	Methoden zur Bildrekonstruktion aus unvollständigen Mengen von Waveletkoeffizienten Vlada Pototskaia University of Göttingen, September 2013, Master thesis, supervisor: Frau Prof. Dr. Plonka-Hoch.
	Estimates of the Ortho-projective Widths of Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q Nadiia Derevianko Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 1, 95-109 (in Ukrainian), 2013, preprint as download.
	Trigonometric Widths of Classes of Periodic Functions of Many Variables Nadiia Derevianko Ukr. Math. J. 64, No. 8, 1185-1198, 2013, preprint as download.
	Real function reconstruction from sparse Fourier samples Marius Wischerhoff Proc. Appl. Math. Mech. Volume 13, Issue 1, pp. 491–492, 2013, preprint as download.
	Multilevel Gauß-Newton Methoden zur Phasenrekonstruktion Robert Beinert University of Göttingen, March 2013, Master thesis, supervisor: Frau Prof. Dr. Plonka-Hoch.
	Optimal representation of piecewise Hölder smooth bivariate functions by the easy path wavelet transform Gerlind Plonka, Armin Iske, Stefanie Tenorth Journal of Approximation Theory 176, 2013, 42-67, revised preprint as download.
	Sparsity and spectral properties of dual frames Felix Krahmer, G. Kutyniok, J. Lemvig Linear Algebra and its Applications 439(4), 2013, 982-998, preprint as download.
	How many Fourier samples are needed for real function reconstruction? Gerlind Plonka, Marius Wischerhoff Journal of Applied Mathematics and Computing, Volume 42, Issue 1-2, pp 117-137, 2013, revised preprint as download.
	A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators Thomas Peter, Gerlind Plonka Inverse Problems 29, 2013, 025001, revised preprint as download.
	Representation of sparse Legendre expansions Thomas Peter, Gerlind Plonka, Daniela Rosca Journal of Symbolic Computation 50, 2013, 159-169, preprint as download.

2012:

	Ortho-projective Widths of Classes of Periodic Functions of Many Variables Nadiia Derevianko Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 146-156 (in Ukranian), 2012, preprint as download.
	Approximation by k-sparse sums of eigenfunctions of linear operators Thomas Peter, Gerlind Plonka Oberwolfach Reports 31/2012, 2012, 16-18, pdf as download.
	An area preserving projection from the regular octahedron to the sphere Daniela Rosca, Gerlind Plonka Results in Mathematics 62(3), 2012, 429-444, open access, preprint as download.
	Wavelet shrinkage on paths for denoising of scattered data Dennis Heinen, Gerlind Plonka Results in Mathematics 62(3), 2012, 337-354, open access, preprint as download.
	Compressive Video Sampling with Approximate Message Passing Decoding Jianwei Ma, Gerlind Plonka, M. Yousuff Hussaini IEEE Transactions on Circuits and Systems for Video Technology 22(9), 2012, 1354-1364, revised preprint as download.
	Optimally sparse image representation by the easy path wavelet transform Gerlind Plonka, Stefanie Tenorth, Armin Iske International Journal of Wavelets, Multiresolution and Information Processing 10(1), 2012, 1250007 (20 pages), revised preprint as download.
	Lower bounds for the error decay incurred by coarse quantization schemes Felix Krahmer, Rachel Ward Appl. Comput. Harmonic Anal. 32(1), 2012, 131-138, preprint as download.
	Root-exponential accuracy for coarse quantization of finite frame expansions Felix Krahmer, R. Saab, Rachel Ward IEEE J. Inf. Theo. 58(2), 2012, 1069-1079, preprint as download.
	SqFreeEVAL: An (almost) optimal real-root isolation algorithm M. Burr, Felix Krahmer Journal of Symbolic Computation 47(2), 2012, 153-166, preprint as download.
	Sparse deconvolution methods for ultrasonic NDT Florian Boßmann, Gerlind Plonka, Thomas Peter, Oliver Nemitz, Till Schmitte Journal of Nondestructive Evaluation 31(3), 2012, 225-244, open access, revised preprint as download.

2011:

	Master's thesis: Modeling and Analysis of Calibrating Cone-Beam-CT Christian Kruschel TU Braunschweig, Institut for Analysis and Algebra, June 2011, Supervisor: Prof. Dr. Dirk Lorenz, In cooperation with SIEMENS Healthcare, Forchheim.
	An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes Percy Deift, C. Sinan Güntürk, Felix Krahmer Comm. Pure Appl. Math. 64(7), 2011, 883-919, preprint as download.
	New and improved Johnson-Lindenstrauss embeddings via the Restricted Isometry Property Felix Krahmer, Rachel Ward SIAM J. Math. Anal. 43(3), 2011, 1269-1281, preprint as download.
	Optimally sparse frames Peter Casazza, P. Heinecke, Felix Krahmer, Gitta Kutyniok IEEE J. Inf. Theo. 57(11), 2011, 7279-7287, preprint as download.
	Uniform spherical grids via equal area projection from the cube to the sphere Daniela Rosca, Gerlind Plonka Journal of Computational and Applied Mathematics 236, 2011, 1033-1041, preprint as download.
	Adaptive Waveletmethoden zur Approximation von Bildern Stefanie Tenorth Universität Göttingen, Juli 2011, Dissertation.
	Nonlinear approximation by sums of exponentials and translates Thomas Peter, Daniel Potts, Manfred Tasche SIAM J. Sci. Comput. 33(4), 2011, 1920-1947, preprint as download.
	Curvelet-wavelet regularized split Bregman iteration for compressed sensing Gerlind Plonka, Jianwei Ma International Journal of Wavelets, Multiresolution and Information Processing 9(1), 2011, 79-110, preprint as download.
	A hybrid method for image approximation using the easy path wavelet transform Gerlind Plonka, Stefanie Tenorth, Daniela Rosca IEEE Transactions on Image Processing 20(2), 2011, 372-381, preprint as download.

2010:

	Behandlung von Poisson- und Gamma-Störungen in digitalen Bildern mit Hilfe von Splitting-Methoden Marius Wischerhoff Universität Duisburg-Essen, Fachbereich Mathematik, Juli 2010, Diplomarbeit, Betreuerin: Frau Prof. Dr. Plonka-Hoch.
	Easy Path Wavelet Transform on triangulations of the sphere Gerlind Plonka, Daniela Rosca Mathematical Geosciences 42(7), 2010, 839-855, preprint as download.
	Tetrolet transform: A new adaptive Haar wavelet algorithm for sparse image representation Jens Krommweh Journal of Visual Communication and Image Representation 21(4), 2010, 364-374, preprint as download.
	Tetrolet shrinkage with anisotropic total variation minimization for image approximation Jens Krommweh, Jianwei Ma Signal Processing 90(8), 2010, 2529-2539, preprint as download.
	The curvelet transform: A review of recent applications Jianwei Ma, Gerlind Plonka IEEE Signal Processing Magazine 27(2), März 2010, 118-133, preprint as download.
	Bildapproximation mittels Wedgelets Dennis Heinen Universität Duisburg-Essen, Fachbereich Mathematik, März 2010, Diploma thesis, supervisor: Prof. Dr. Plonka-Hoch.
	A new sparse representation of seismic data using adaptive easy-path wavelet transform Jianwei Ma, Gerlind Plonka, Hervé Chauris IEEE Geoscience and Remote Sensing Letters 7(3), 2010, 540-544, preprint as download.

2009:

	Image approximation by a hybrid method based on the easy path wavelet transform Gerlind Plonka, Stefanie Tenorth, Daniela Rosca Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers, 2009, 442-446. (ISBN: 978-1-4244-5825-7).
	Parameterbestimmung bei anharmonischen Fouriersummen mittels approximativer Prony-Methode Thomas Peter Universität Rostock, Institut für Mathematik, Oktober 2009, Diplomarbeit, Betreuer: Prof. Dr. Manfred Tasche.
	Nonlinear and adaptive frame approximation schemes for elliptic PDEs: Theory and Numerical Experiments Stephan Dahlke, Massimo Fornasier, Miriam Primbs, Thorsten Raasch, Manuel Werner Numerical Methods for Partial Differential Equations 25(6), 2009, 1261–1510.
	New stable biorthogonal spline-wavelets on the interval Miriam Primbs Results in Mathematics 57(1-2), 2009, 121-162.
	Entwicklung einer automatisierten Auswertung von bildgebenden Ultraschallverfahren Florian Boßmann Universität Duisburg-Essen, Fachbereich Mathematik, Oktober 2009, Diploma thesis, supervisor: Prof. Dr. Plonka-Hoch.
	A digital diffusion-reaction type filter for nonlinear denoising Gerlind Plonka Results in Mathematics 53(3-4), 2009, 371-381, preprint as download.
	An orthonormal basis of directional Haar wavelets on triangles Jens Krommweh Results in Mathematics 53(3-4), 2009, 323-331, preprint as download.
	The method of stable completion in the classical wavelet context Miriam Primbs Results in Mathematics 53(3-4), 2009, 391-398.
	Tight frame characterization of multiwavelet vector functions in terms of the polyphase matrix Jens Krommweh International Journal of Wavelets, Multiresolution and Information Processing 7(1), 2009, 9-21, preprint as download.
	Sparse data representation on the sphere using the easy path wavelet transform Gerlind Plonka, Daniela Rosca Sampling Theory and Applications (SampTA'09), L. Fesquet and B. Torresani (eds.), 2009, 255–258, preprint as download.
	Nonlinear locally adaptive wavelet filter banks Gerlind Plonka, Stefanie Tenorth Sampling Theory and Applications (SampTA'09), L. Fesquet and B. Torresani (eds.), 2009, 381–384, preprint as download.
	Image approximation by adaptive tetrolet transform Jens Krommweh Sampling Theory and Applications (SampTA'09), L. Fesquet and B. Torresani (eds.), 2009, 81–84, preprint as download.
	Novel Schemes for Sigma-Delta Modulation: Improved Exponential Accuracy to Low-Complexity Design Felix Krahmer New York University, 2009, PhD thesis.
	Directional Haar wavelet frames on triangles Jens Krommweh, Gerlind Plonka Applied and Computational Harmonic Analysis 27, 2009, 215-234, revised preprint as download.
	The easy path wavelet transform: A new adaptive wavelet transform for sparse representation of two-dimensional data Gerlind Plonka Multiscale Modeling and Simulation 7(3), 2009, 1474-1496, revised preprint as download.
	Computing with Curvelets: From Image Processing to Turbulent Flows Jianwei Ma, Gerlind Plonka Computing in Science and Engineering 11(2), 2009, 72-80, preprint as download.

2008:

	Uncertainty in time-frequency representations on finite abelian groups and applications Felix Krahmer, Götz E. Pfander, Peter Rashkov Appl. Comput. Harmon. Anal. 25(2), 2008, 209-225, preprint as download.
	Nonlinear regularized reaction-diffusion filters for denoising of images with textures Gerlind Plonka, Jianwei Ma IEEE Transactions on Image Processing 17(8), 2008, 1283-1294, preprint as download.
	Numerical stability of biorthogonal wavelet transforms Gerlind Plonka, Hagen Schumacher, Manfred Tasche Advances in Computational Mathematics 29, 2008, 1-25, preprint as download.
	Verallgemeinerte Rudin-Osher-Fatemi-Regularisierung zur Signalentstörung Stefanie Tenorth Universität Duisburg-Essen, Fachbereich Mathematik, Januar 2008, Diploma thesis, supervisor: Prof. Dr. Plonka-Hoch.
	On the computation of Gramian matrices for refinable bases on the interval Miriam Primbs International Journal of Wavelets, Multiresolution and Information Processing 6(3), 2008, 459-479.

2007:

	Combined curvelet shrinkage and nonlinear anisotropic diffusion Jianwei Ma, Gerlind Plonka IEEE Transactions on Image Processing 16, 2007, 2198-2206, preprint as download.
	Convergence of an iterative nonlinear scheme for denoising of piecewise constant images Gerlind Plonka, Jianwei Ma International Journal of Wavelets, Multiresolution and Information Processing 5, 2007, 975-995, preprint as download.

2006:

A multiscale wavelet-inspired scheme for nonlinear diffusion Gerlind Plonka, Gabriele Steidl International Journal of Wavelets, Multiresolution and Information Processing 4, 2006, 1-22, preprint as download.

2005:

	Fast and numerically stable algorithms for discrete cosine transforms Gerlind Plonka, Manfred Tasche Linear Algebra and its Applications 394, 2005, 309-345, preprint as download.
	Worst-case error analysis of lifting-based fast DCT-algorithms Miriam Primbs IEEE Transactions on Signal Processing 53(8), 2005, 3211-3218, preprint as download.

2004:

	Numerical stability of fast trigonometric and orthogonal wavelet transforms Gerlind Plonka, Manfred Tasche Advences in Constructive Approximation: Vanderbilt (M. Neamtu, E. B. Saff, eds.), Nashboro Press, Brentwood, 2004, 393-419, preprint as download.
	A global method for invertible integer DCT and integer wavelet algorithms Gerlind Plonka Applied and Computational Harmonic Analysis 16, 2004, 99-110, preprint as download.

2003:

	Properties of locally linearly independent function vectors Gerlind Plonka, Ding-Xuan Zhou Journal of Approximation Theory 122, 2003, 24-41, preprint as download.
	Integer DCT-II by lifting steps Gerlind Plonka, Manfred Tasche International Series of Numerical Mathematics (W. Haussmann, K. Jetter, M. Reimer, J. Stöckler (eds.)), Vol. 145, Birkhäuser, Basel, 2003, 235-252, preprint as download.
	Invertible integer DCT algorithms Gerlind Plonka, Manfred Tasche Applied and Computational Harmonic Analysis 15, 2003, 70-88, preprint as download.

2002:

	How many holes can locally linearly independent refinable function vectors have? Gerlind Plonka Algorithms for Approximation IV, Proceedings of the 2001 International Symposium (J. Levesley, I. J. Anderson, J. C. Mason, eds.), The University of Huddersfield, 2002, 378-393, preprint as download.
	Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks Di-Rong Chen, Gerlind Plonka Journal of Approximation Theory 119, 2002, 133-155, preprint as download.

2001:

	A survey on L2-Approximation order from shift-invariant spaces Kurt Jetter, Gerlind Plonka Multivariate Approximation and Applications (N. Dyn, D. Leviatan, D. Levin, A. Pinkus, eds.), Cambridge University Press, 2001, 73-111, preprint as download.
	A new factorization technique for the matrix mask of univariate refinable functions Gerlind Plonka, Amos Ron Numerische Mathematik 87, 2001, 555-595, preprint as download.

2000:

Some notes on two-scale difference equations Lothar Berg, Gerlind Plonka Functional Equations and Inequalities (T.M. Rassias, ed.), Kluwer Academic Publishers, 2000, 7-29, preprint as download.

1999:

Spectral properties of two-slanted matrices Lothar Berg, Gerlind Plonka Results in Mathematics 35, 1999, 201-215, preprint as download.

1998:

	Compactly supported solutions of two-scale difference equations Lothar Berg, Gerlind Plonka Linear Algebra and its Applications 275, 1998, 49-75, preprint as download.
	Construction of multi-scaling functions with approximation and symmetry Gerlind Plonka, Vasily Strela SIAM Journal on Mathematical Analysis 29, 1998, 481-510, preprint as download.
	From wavelets to multiwavelets Gerlind Plonka, Vasily Strela Mathematical Methods of Curves and Surfaces II (M. Daehlen, T. Lyche and L. L. Schumaker, eds.), Vanderbilt University Press, Nashville, 1998, 1-25, preprint as download.

1997:

	Refinement of vectors of Bernstein polynomials Lothar Berg, Gerlind Plonka Rostocker Mathematisches Kolloquium 50, 1997, 19-30, preprint as download.
	Stability of translates of scaling vectors Gerlind Plonka Computational Mathematics (Achim Sydow, ed.), Wissenschaft und Technik Verlag, Berlin, 1997, 293-300.
	On stability of scaling vectors Gerlind Plonka Surface Fitting and Multiresolution Methods (A. Le Mehauté, C. Rabut, L. L. Schumaker, eds.), Vanderbilt University Press, Nashville, 1997, 293-300, preprint as download.
	Necessary and sufficient conditions for orthonormality of scaling vectors Gerlind Plonka Multivariate Approximation and Splines (G. Nürnberger, J. W. Schmidt, G. Walz, eds.), ISNM Vol: 125, Birkhäuser, Basel, 1997, 205-218, preprint as download.
	Regularity of refinable function vectors Albert Cohen, Ingrid Daubechies, Gerlind Plonka Journal of Fourier Analysis and Applications 3, 1997, 295-324, preprint as download.
	Approximation order provided by refinable function vectors Gerlind Plonka Constructive Approximation 13, 1997, 221-244, preprint as download.

1996:

Generalized spline wavelets Gerlind Plonka Constructive Approximation 12, 1996, 127-155, preprint as download.

1995:

	Approximation properties of multi-scaling functions: A Fourier approach Gerlind Plonka Rostocker Mathematisches Kolloquium 49, 1995, 115-126, preprint as download.
	Factorization of refinement masks of function vectors Gerlind Plonka Wavelets and Multilevel Approximation (C. K. Chui, L. L. Schumaker, eds.), Singapore: World Scientific Publishing Co., 1995, 317-324, preprint as download.
	On the construction of wavelets on a bounded interval Gerlind Plonka, Kathi Selig, Manfred Tasche Advances in Computational Mathematics 4, 1995, 357-388, preprint as download.
	On the computation of periodic spline wavelets Gerlind Plonka Applied and Computional Harmonic Analysis 2, 1995, 1-22.

1994:

	Two-scale symbol and autocorrelation symbol for B-splines with multiple knots Gerlind Plonka Advances in Computational Mathematics 3, 1994, 387-398.
	A unified approach to periodic wavelets Gerlind Plonka, Manfred Tasche C. K. Chui, L. Montefusco u. L. Puccio (Eds.). Wavelets: Theory, Algorithms and Applications. Boston: Academic Press, 1994, 137-151.
	Spline wavelets with higher defect Gerlind Plonka P. J. Laurent, A. Le Mehauté u. L. L. Schumaker (Eds.). Wavelets, Images and Surface Fitting. Boston: AKPeters, 1994, 387-398.
	Cardinal Hermite spline interpolation with shifted nodes Gerlind Plonka, Manfred Tasche Mathematics of Computation 63, 1994, 645-659.
	Optimal shift parameters for periodic spline interpolation Gerlind Plonka Numerical Algorithms 6, 1994, 297-316.
	Periodic spline interpolation with shifted nodes Gerlind Plonka Journal of Appoximation Theory 76, 1994, 1-20.

1993:

	An efficient algorithm for periodic Hermite spline interpolation with shifted nodes Gerlind Plonka Numerical Algorithms 5, 1993, 51-62.
	Nonperiodic Hermite spline interpolation Gerlind Plonka Rostocker Mathematisches Kolloquium 46, 1993, 65-74.

1992:

Efficient algorithms for the periodic Hermite spline interpolation Gerlind Plonka, Manfred Tasche Mathematics of Computation 58, 1992, 693-703.