Gerlind Plonka

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 30

Top Topics

Numerical Stability

Sparse Approximation

Fourier Coefficients

Top Venues

Numer. Algorithms

J. Comput. Appl. Math.

Adv. Comput. Math.

Publications

Gerlind Plonka, Yannick Riebe
MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration. CoRR (2024)
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) (2024)
Nadiia Derevianko, Gerlind Plonka, Raha Razavi
ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. Numer. Algorithms 92 (1) (2023)
Nadiia Derevianko, Gerlind Plonka
Differential approximation of the Gaussian by short cosine sums with exponential error decay. CoRR (2023)
Nadiia Derevianko, Gerlind Plonka, Raha Razavi
ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. CoRR (2022)
Mojtaba Lashgari, Hossein Rabbani, Gerlind Plonka, Ivan W. Selesnick
Reconstruction of Connected Digital Lines Based on Constrained Regularization. IEEE Trans. Image Process. 31 (2022)
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)
Gerlind Plonka, Yannick Riebe, Yurii Kolomoitsev
Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. CoRR (2022)
Raha Razavi, Hossein Rabbani, Gerlind Plonka
Combining Non-Data-Adaptive Transforms for OCT Image Denoising by Iterative Basis Pursuit. ICIP (2022)
Zahra Baharlouei, Hossein Rabbani, Gerlind Plonka
Detection of Retinal Abnormalities in OCT Images Using Wavelet Scattering Network. EMBC (2022)
Nadiia Derevianko, Gerlind Plonka
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients. CoRR (2021)
Nadiia Derevianko, Gerlind Plonka, Markus Petz
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation. CoRR (2021)
Hanna Knirsch, Markus Petz, Gerlind Plonka
Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm and Cadzow's Algorithm. CoRR (2020)
Renato Budinich, Gerlind Plonka
A tree-based dictionary learning framework. Int. J. Wavelets Multiresolution Inf. Process. 18 (5) (2020)
Ingeborg Keller, Gerlind Plonka
Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums. CoRR (2020)
Gerlind Plonka, Therese von Wulffen
Deterministic Sparse Sublinear FFT with Improved Numerical Stability. CoRR (2020)
Markus Petz, Gerlind Plonka, Nadiia Derevianko
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients. CoRR (2020)
Sina Bittens, Gerlind Plonka
Sparse fast DCT for vectors with one-block support. Numer. Algorithms 82 (2) (2019)
Ran Zhang, Gerlind Plonka
Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method. Adv. Comput. Math. 45 (3) (2019)
Marzieh Hasannasab, Johannes Hertrich, Sebastian Neumayer, Gerlind Plonka, Simon Setzer, Gabriele Steidl
Parseval Proximal Neural Networks. CoRR (2019)
Renato Budinich, Gerlind Plonka
A Tree-based Dictionary Learning Framework. CoRR (2019)
Gerlind Plonka, Katrin Wannenwetsch, Annie A. M. Cuyt, Wen-shin Lee
Deterministic sparse FFT for M-sparse vectors. Numer. Algorithms 78 (1) (2018)
Robert Beinert, Gerlind Plonka
Sparse Phase Retrieval of One-Dimensional Signals by Prony's Method. Frontiers Appl. Math. Stat. 3 (2017)
Gerlind Plonka, Katrin Wannenwetsch
A sparse fast Fourier algorithm for real non-negative vectors. J. Comput. Appl. Math. 321 (2017)
Robert Beinert, Gerlind Plonka
Sparse phase retrieval of one-dimensional signals by Prony's method. CoRR (2017)
Gerlind Plonka, Yi Zheng
Relation between total variation and persistence distance and its application in signal processing. Adv. Comput. Math. 42 (3) (2016)
Robert Beinert, Gerlind Plonka
Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain. CoRR (2016)
Gerlind Plonka, Katrin Wannenwetsch
A deterministic sparse FFT algorithm for vectors with small support. Numer. Algorithms 71 (4) (2016)
Marius Wischerhoff, Gerlind Plonka
Reconstruction of polygonal shapes from sparse Fourier samples. J. Comput. Appl. Math. 297 (2016)
Gerlind Plonka, Katrin Wannenwetsch
A deterministic sparse FFT algorithm for vectors with small support. CoRR (2015)
Sebastian Hoffmann, Gerlind Plonka, Joachim Weickert
Discrete Green's Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms. EMMCVPR (2014)
Gerlind Plonka, Armin Iske, Stefanie Tenorth
Optimal representation of piecewise Hölder smooth bivariate functions by the Easy Path Wavelet Transform. J. Approx. Theory 176 (2013)
Thomas Peter, Gerlind Plonka, Daniela Rosca
Representation of sparse Legendre expansions. J. Symb. Comput. 50 (2013)
Jianwei Ma, Gerlind Plonka, M. Yousuff Hussaini
Compressive Video Sampling With Approximate Message Passing Decoding. IEEE Trans. Circuits Syst. Video Technol. 22 (9) (2012)
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)
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) (2011)
Gerlind Plonka, Jianwei Ma
Curvelet-Wavelet Regularized Split Bregman Iteration for Compressed Sensing. Int. J. Wavelets Multiresolution Inf. Process. 9 (1) (2011)
Daniela Rosca, Gerlind Plonka
Uniform spherical grids via equal area projection from the cube to the sphere. J. Comput. Appl. Math. 236 (6) (2011)
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) (2010)
Jianwei Ma, Gerlind Plonka
The Curvelet Transform. IEEE Signal Process. Mag. 27 (2) (2010)
Jianwei Ma, Gerlind Plonka
Computing with Curvelets: From Image Processing to Turbulent Flows. Comput. Sci. Eng. 11 (2) (2009)
Gerlind Plonka
The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data. Multiscale Model. Simul. 7 (3) (2008)
Gerlind Plonka, Jianwei Ma
Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures. IEEE Trans. Image Process. 17 (8) (2008)
Gerlind Plonka, Hagen Schumacher, Manfred Tasche
Numerical stability of biorthogonal wavelet transforms. Adv. Comput. Math. 29 (1) (2008)
Gerlind Plonka, Jianwei Ma
Convergence of an Iterative Nonlinear Scheme for Denoising of Piecewise Constant Images. Int. J. Wavelets Multiresolution Inf. Process. 5 (6) (2007)
Jianwei Ma, Gerlind Plonka
Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion. IEEE Trans. Image Process. 16 (9) (2007)
Gerlind Plonka, Gabriele Steidl
A Multiscale Wavelet-Inspired Scheme for Nonlinear Diffusion. Int. J. Wavelets Multiresolution Inf. Process. 4 (1) (2006)
Gerlind Plonka, Ding-Xuan Zhou
Properties of locally linearly independent refinable function vectors. J. Approx. Theory 122 (1) (2003)
Di-Rong Chen, Gerlind Plonka
Convergence of Cascade Algorithms in Sobolev Spaces for Perturbed Refinement Masks. J. Approx. Theory 119 (2) (2002)
Gerlind Plonka, Amos Ron
A new factorization technique of the matrix mask of univariate refinable functions. Numerische Mathematik 87 (3) (2001)
Gerlind Plonka
Two-scale symbol and autocorrelation symbol for B-splines with multiple knots. Adv. Comput. Math. 3 (1-2) (1995)
Gerlind Plonka, Kathi Selig, Manfred Tasche
On the construction of wavelets on a bounded interval. Adv. Comput. Math. 4 (1) (1995)
Gerlind Plonka
Optimal shift parameters for periodic spline interpolation. Numer. Algorithms 6 (2) (1994)
Gerlind Plonka
An efficient algorithm for periodic Hermite spline interpolation with shifted nodes. Numer. Algorithms 5 (1) (1993)