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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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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)) |
| 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) |
| 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)) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| Phase retrieval for Fresnel measurements using a shearlet sparsity constraint Stefan Loock, Gerlind Plonka Inverse Problems 30 (2014) 055005, 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| Easy Path Wavelet Transform on triangulations of the sphere Gerlind Plonka, Daniela Rosca Mathematical Geosciences 42(7), 2010 (839-855, 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) |
| 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) |
| 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)) |
| A digital diffusion-reaction type filter for nonlinear denoising Gerlind Plonka Results in Mathematics 53(3-4), 2009 (371-381, 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| Spectral properties of two-slanted matrices Lothar Berg, Gerlind Plonka Results in Mathematics 35, 1999 (201-215, preprint as download) |
| 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) |
| 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) |
| Generalized spline wavelets Gerlind Plonka Constructive Approximation 12, 1996 (127-155, preprint as download) |
| 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) |
| 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) |
| 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) |
| Efficient algorithms for the periodic Hermite spline interpolation Gerlind Plonka, Manfred Tasche Mathematics of Computation 58, 1992 (693-703) |
| 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 |
Prof. Dr. Gerlind Plonka-Hoch
University of Göttingen
Institute for Numerical and Applied Mathematics
Lotzestr. 16-18
37083 Göttingen
Raum 117
Tel.: 0551-39-26777
plonka AT math.uni-goettingen.de