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ORCIDGerlind Plonka
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- affiliation: University of Göttingen, Institute for Numerical and Applied Mathematics, Germany
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Journal Articles
- 2024
[j38]Raha Razavi
, Gerlind Plonka, Hossein Rabbani:
X-Let's Atom Combinations for Modeling and Denoising of OCT Images by Modified Morphological Component Analysis. IEEE Trans. Medical Imaging 43(2): 760-770 (2024)- 2023
- [j37]Nadiia Derevianko, Gerlind Plonka, Raha Razavi:
ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. Numer. Algorithms 92(1): 437-470 (2023) - 2022
- [j36]Mojtaba Lashgari, Hossein Rabbani, Gerlind Plonka, Ivan W. Selesnick:
Reconstruction of Connected Digital Lines Based on Constrained Regularization. IEEE Trans. Image Process. 31: 5613-5628 (2022) - 2020
- [j35]Renato Budinich, Gerlind Plonka:
A tree-based dictionary learning framework. Int. J. Wavelets Multiresolution Inf. Process. 18(5): 2050041:1-2050041:24 (2020) - 2019
- [j34]Ran Zhang, Gerlind Plonka:
Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method. Adv. Comput. Math. 45(3): 1657-1687 (2019) - [j33]Jean-François Aujol, Jalal Fadili, Michael Hintermüller, Gabriel Peyré, Gerlind Plonka-Hoch, Gabriele Steidl:
Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA). J. Math. Imaging Vis. 61(5): 643-644 (2019) - [j32]Sina Bittens, Gerlind Plonka:
Sparse fast DCT for vectors with one-block support. Numer. Algorithms 82(2): 663-697 (2019) - 2018
- [j31]Gerlind Plonka, Katrin Wannenwetsch, Annie A. M. Cuyt, Wen-shin Lee:
Deterministic sparse FFT for M-sparse vectors. Numer. Algorithms 78(1): 133-159 (2018) - 2017
- [j30]Robert Beinert, Gerlind Plonka:
Sparse Phase Retrieval of One-Dimensional Signals by Prony's Method. Frontiers Appl. Math. Stat. 3: 5 (2017) - [j29]Gerlind Plonka, Katrin Wannenwetsch:
A sparse fast Fourier algorithm for real non-negative vectors. J. Comput. Appl. Math. 321: 532-539 (2017) - [j28]Jalal Fadili, Gitta Kutyniok, Gabriel Peyré, Gerlind Plonka-Hoch, Gabriele Steidl:
JMIV Special Issue Mathematics and Image Analysis. J. Math. Imaging Vis. 59(3): 371-372 (2017) - 2016
- [j27]Gerlind Plonka, Yi Zheng:
Relation between total variation and persistence distance and its application in signal processing. Adv. Comput. Math. 42(3): 651-674 (2016) - [j26]Marius Wischerhoff, Gerlind Plonka:
Reconstruction of polygonal shapes from sparse Fourier samples. J. Comput. Appl. Math. 297: 117-131 (2016) - [j25]Gerlind Plonka, Katrin Wannenwetsch:
A deterministic sparse FFT algorithm for vectors with small support. Numer. Algorithms 71(4): 889-905 (2016) - 2015
- [j24]Jalal Fadili, Gitta Kutyniok, Gabriel Peyré, Gerlind Plonka-Hoch, Gabriele Steidl:
Guest Editorial: Mathematics and Image Analysis. J. Math. Imaging Vis. 52(3): 315-316 (2015) - 2013
- [j23]Gerlind Plonka, Armin Iske, Stefanie Tenorth:
Optimal representation of piecewise Hölder smooth bivariate functions by the Easy Path Wavelet Transform. J. Approx. Theory 176: 42-67 (2013) - [j22]Thomas Peter, Gerlind Plonka, Daniela Rosca:
Representation of sparse Legendre expansions. J. Symb. Comput. 50: 159-169 (2013) - 2012
- [j21]Gerlind Plonka, Stefanie Tenorth, Armin Iske:
Optimally Sparse Image Representation by the Easy Path Wavelet Transform. Int. J. Wavelets Multiresolution Inf. Process. 10(1) (2012) - [j20]Jianwei Ma, Gerlind Plonka, M. Yousuff Hussaini:
Compressive Video Sampling With Approximate Message Passing Decoding. IEEE Trans. Circuits Syst. Video Technol. 22(9): 1354-1364 (2012) - 2011
- [j19]Gerlind Plonka, Jianwei Ma:
Curvelet-Wavelet Regularized Split Bregman Iteration for Compressed Sensing. Int. J. Wavelets Multiresolution Inf. Process. 9(1): 79-110 (2011) - [j18]Daniela Rosca, Gerlind Plonka:
Uniform spherical grids via equal area projection from the cube to the sphere. J. Comput. Appl. Math. 236(6): 1033-1041 (2011) - [j17]Gerlind Plonka, Stefanie Tenorth, Daniela Rosca:
A New Hybrid Method for Image Approximation Using the Easy Path Wavelet Transform. IEEE Trans. Image Process. 20(2): 372-381 (2011) - 2010
- [j16]Jianwei Ma, Gerlind Plonka, Hervé Chauris:
A New Sparse Representation of Seismic Data Using Adaptive Easy-Path Wavelet Transform. IEEE Geosci. Remote. Sens. Lett. 7(3): 540-544 (2010) - [j15]Jianwei Ma, Gerlind Plonka:
The Curvelet Transform. IEEE Signal Process. Mag. 27(2): 118-133 (2010) - 2009
- [j14]Jianwei Ma, Gerlind Plonka:
Computing with Curvelets: From Image Processing to Turbulent Flows. Comput. Sci. Eng. 11(2): 72-80 (2009) - 2008
- [j13]Gerlind Plonka, Hagen Schumacher, Manfred Tasche:
Numerical stability of biorthogonal wavelet transforms. Adv. Comput. Math. 29(1): 1-25 (2008) - [j12]Gerlind Plonka:
The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data. Multiscale Model. Simul. 7(3): 1474-1496 (2008) - [j11]Gerlind Plonka, Jianwei Ma:
Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures. IEEE Trans. Image Process. 17(8): 1283-1294 (2008) - 2007
- [j10]Gerlind Plonka, Jianwei Ma:
Convergence of an Iterative Nonlinear Scheme for Denoising of Piecewise Constant Images. Int. J. Wavelets Multiresolution Inf. Process. 5(6): 975-995 (2007) - [j9]Jianwei Ma, Gerlind Plonka:
Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion. IEEE Trans. Image Process. 16(9): 2198-2206 (2007) - 2006
- [j8]Gerlind Plonka, Gabriele Steidl:
A Multiscale Wavelet-Inspired Scheme for Nonlinear Diffusion. Int. J. Wavelets Multiresolution Inf. Process. 4(1): 1-21 (2006) - 2003
- [j7]Gerlind Plonka, Ding-Xuan Zhou:
Properties of locally linearly independent refinable function vectors. J. Approx. Theory 122(1): 24-41 (2003) - 2002
- [j6]Di-Rong Chen, Gerlind Plonka:
Convergence of Cascade Algorithms in Sobolev Spaces for Perturbed Refinement Masks. J. Approx. Theory 119(2): 133-155 (2002) - 2001
- [j5]Gerlind Plonka, Amos Ron:
A new factorization technique of the matrix mask of univariate refinable functions. Numerische Mathematik 87(3): 555-595 (2001) - 1995
- [j4]Gerlind Plonka:
Two-scale symbol and autocorrelation symbol for B-splines with multiple knots. Adv. Comput. Math. 3(1-2): 1-22 (1995) - [j3]Gerlind Plonka, Kathi Selig, Manfred Tasche:
On the construction of wavelets on a bounded interval. Adv. Comput. Math. 4(1): 357-388 (1995) - 1994
- [j2]Gerlind Plonka:
Optimal shift parameters for periodic spline interpolation. Numer. Algorithms 6(2): 297-316 (1994) - 1993
- [j1]Gerlind Plonka:
An efficient algorithm for periodic Hermite spline interpolation with shifted nodes. Numer. Algorithms 5(1): 51-62 (1993)
Conference and Workshop Papers
- 2022
- [c4]Ebrahim Nasr-Esfahani, Parisa Ghaderi Daneshmand, Hossein Rabbani, Gerlind Plonka:
Automatic Classification of Macular Diseases from OCT Images Using CNN Guided with Edge Convolutional Layer. EMBC 2022: 3858-3861 - [c3]Zahra Baharlouei, Hossein Rabbani, Gerlind Plonka:
Detection of Retinal Abnormalities in OCT Images Using Wavelet Scattering Network. EMBC 2022: 3862-3865 - [c2]Raha Razavi, Hossein Rabbani, Gerlind Plonka:
Combining Non-Data-Adaptive Transforms for OCT Image Denoising by Iterative Basis Pursuit. ICIP 2022: 2351-2355 - 2014
- [c1]Sebastian Hoffmann, Gerlind Plonka, Joachim Weickert:
Discrete Green's Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms. EMMCVPR 2014: 169-182
Informal and Other Publications
- 2024
- [i17]Gerlind Plonka, Yannick Riebe:
MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration. CoRR abs/2403.12611 (2024) - 2023
- [i16]Nadiia Derevianko, Gerlind Plonka:
Differential approximation of the Gaussian by short cosine sums with exponential error decay. CoRR abs/2307.13587 (2023) - 2022
- [i15]Nadiia Derevianko, Gerlind Plonka, Raha Razavi:
ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. CoRR abs/2204.03312 (2022) - [i14]Gerlind Plonka, Yannick Riebe, Yurii Kolomoitsev:
Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. CoRR abs/2207.14609 (2022) - [i13]Annie Cuyt, Wen-shin Lee, Gerlind Plonka-Hoch, Ferre Knaepkens:
Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221). Dagstuhl Reports 12(5): 170-187 (2022) - 2021
- [i12]Nadiia Derevianko, Gerlind Plonka:
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients. CoRR abs/2103.07743 (2021) - [i11]Nadiia Derevianko, Gerlind Plonka, Markus Petz:
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation. CoRR abs/2106.15140 (2021) - 2020
- [i10]Ingeborg Keller, Gerlind Plonka:
Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums. CoRR abs/2001.03651 (2020) - [i9]Gerlind Plonka, Therese von Wulffen:
Deterministic Sparse Sublinear FFT with Improved Numerical Stability. CoRR abs/2004.11097 (2020) - [i8]Hanna Knirsch, Markus Petz, Gerlind Plonka:
Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm and Cadzow's Algorithm. CoRR abs/2004.11099 (2020) - [i7]Markus Petz, Gerlind Plonka, Nadiia Derevianko:
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients. CoRR abs/2011.13346 (2020) - 2019
- [i6]Renato Budinich, Gerlind Plonka:
A Tree-based Dictionary Learning Framework. CoRR abs/1909.03267 (2019) - [i5]Marzieh Hasannasab, Johannes Hertrich, Sebastian Neumayer, Gerlind Plonka, Simon Setzer, Gabriele Steidl:
Parseval Proximal Neural Networks. CoRR abs/1912.10480 (2019) - 2017
- [i4]Robert Beinert, Gerlind Plonka:
Sparse phase retrieval of one-dimensional signals by Prony's method. CoRR abs/1701.08947 (2017) - 2016
- [i3]Robert Beinert, Gerlind Plonka:
Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain. CoRR abs/1604.04493 (2016) - [i2]Christine Guillemot, Gerlind Plonka-Hoch, Thomas Pock, Joachim Weickert:
Inpainting-Based Image Compression (Dagstuhl Seminar 16462). Dagstuhl Reports 6(11): 90-107 (2016) - 2015
- [i1]Gerlind Plonka, Katrin Wannenwetsch:
A deterministic sparse FFT algorithm for vectors with small support. CoRR abs/1504.02214 (2015)
Coauthor Index
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