Gerlind Plonka

Orcid: 0000-0002-3232-0573

  • University of Göttingen, Institute for Numerical and Applied Mathematics, Germany

According to our database1, Gerlind Plonka authored at least 55 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:



X-Let's Atom Combinations for Modeling and Denoising of OCT Images by Modified Morphological Component Analysis.
IEEE Trans. Medical Imaging, February, 2024

MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration.
CoRR, 2024

ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application.
Numer. Algorithms, January, 2023

Differential approximation of the Gaussian by short cosine sums with exponential error decay.
CoRR, 2023

Reconstruction of Connected Digital Lines Based on Constrained Regularization.
IEEE Trans. Image Process., 2022

Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221).
Dagstuhl Reports, 2022

Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models.
CoRR, 2022

Combining Non-Data-Adaptive Transforms for OCT Image Denoising by Iterative Basis Pursuit.
Proceedings of the 2022 IEEE International Conference on Image Processing, 2022

Automatic Classification of Macular Diseases from OCT Images Using CNN Guided with Edge Convolutional Layer.
Proceedings of the 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society, 2022

Detection of Retinal Abnormalities in OCT Images Using Wavelet Scattering Network.
Proceedings of the 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society, 2022

From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation.
CoRR, 2021

Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients.
CoRR, 2021

A tree-based dictionary learning framework.
Int. J. Wavelets Multiresolution Inf. Process., 2020

Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients.
CoRR, 2020

Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm and Cadzow's Algorithm.
CoRR, 2020

Deterministic Sparse Sublinear FFT with Improved Numerical Stability.
CoRR, 2020

Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums.
CoRR, 2020

Sparse fast DCT for vectors with one-block support.
Numer. Algorithms, 2019

Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA).
J. Math. Imaging Vis., 2019

Parseval Proximal Neural Networks.
CoRR, 2019

Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method.
Adv. Comput. Math., 2019

Deterministic sparse FFT for M-sparse vectors.
Numer. Algorithms, 2018

JMIV Special Issue Mathematics and Image Analysis.
J. Math. Imaging Vis., 2017

A sparse fast Fourier algorithm for real non-negative vectors.
J. Comput. Appl. Math., 2017

Sparse Phase Retrieval of One-Dimensional Signals by Prony's Method.
Frontiers Appl. Math. Stat., 2017

A deterministic sparse FFT algorithm for vectors with small support.
Numer. Algorithms, 2016

Reconstruction of polygonal shapes from sparse Fourier samples.
J. Comput. Appl. Math., 2016

Inpainting-Based Image Compression (Dagstuhl Seminar 16462).
Dagstuhl Reports, 2016

Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain.
CoRR, 2016

Relation between total variation and persistence distance and its application in signal processing.
Adv. Comput. Math., 2016

Guest Editorial: Mathematics and Image Analysis.
J. Math. Imaging Vis., 2015

Discrete Green's Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2014

Representation of sparse Legendre expansions.
J. Symb. Comput., 2013

Optimal representation of piecewise Hölder smooth bivariate functions by the Easy Path Wavelet Transform.
J. Approx. Theory, 2013

Compressive Video Sampling With Approximate Message Passing Decoding.
IEEE Trans. Circuits Syst. Video Technol., 2012

Optimally Sparse Image Representation by the Easy Path Wavelet Transform.
Int. J. Wavelets Multiresolution Inf. Process., 2012

A New Hybrid Method for Image Approximation Using the Easy Path Wavelet Transform.
IEEE Trans. Image Process., 2011

Uniform spherical grids via equal area projection from the cube to the sphere.
J. Comput. Appl. Math., 2011

Curvelet-Wavelet Regularized Split Bregman Iteration for Compressed Sensing.
Int. J. Wavelets Multiresolution Inf. Process., 2011

The Curvelet Transform.
IEEE Signal Process. Mag., 2010

A New Sparse Representation of Seismic Data Using Adaptive Easy-Path Wavelet Transform.
IEEE Geosci. Remote. Sens. Lett., 2010

Computing with Curvelets: From Image Processing to Turbulent Flows.
Comput. Sci. Eng., 2009

Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures.
IEEE Trans. Image Process., 2008

The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data.
Multiscale Model. Simul., 2008

Numerical stability of biorthogonal wavelet transforms.
Adv. Comput. Math., 2008

Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion.
IEEE Trans. Image Process., 2007

Convergence of an Iterative Nonlinear Scheme for Denoising of Piecewise Constant Images.
Int. J. Wavelets Multiresolution Inf. Process., 2007

A Multiscale Wavelet-Inspired Scheme for Nonlinear Diffusion.
Int. J. Wavelets Multiresolution Inf. Process., 2006

Properties of locally linearly independent refinable function vectors.
J. Approx. Theory, 2003

Convergence of Cascade Algorithms in Sobolev Spaces for Perturbed Refinement Masks.
J. Approx. Theory, 2002

A new factorization technique of the matrix mask of univariate refinable functions.
Numerische Mathematik, 2001

On the construction of wavelets on a bounded interval.
Adv. Comput. Math., 1995

Two-scale symbol and autocorrelation symbol for B-splines with multiple knots.
Adv. Comput. Math., 1995

Optimal shift parameters for periodic spline interpolation.
Numer. Algorithms, 1994

An efficient algorithm for periodic Hermite spline interpolation with shifted nodes.
Numer. Algorithms, 1993