An efficient algorithm for periodic Hermite spline interpolation with shifted nodes. - Gerlind Plonka (Numer. Algorithms, 1993)

Optimal shift parameters for periodic spline interpolation. - Gerlind Plonka (Numer. Algorithms, 1994)

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

On the construction of wavelets on a bounded interval. - Gerlind Plonka; Kathi Selig; Manfred Tasche (Adv. Comput. Math., 1995)

A new factorization technique of the matrix mask of univariate refinable functions. - Gerlind Plonka; Amos Ron (Numerische Mathematik, 2001)

Convergence of Cascade Algorithms in Sobolev Spaces for Perturbed Refinement Masks. - Di-Rong Chen; Gerlind Plonka (J. Approx. Theory, 2002)

Properties of locally linearly independent refinable function vectors. - Gerlind Plonka; Ding-Xuan Zhou (J. Approx. Theory, 2003)

A Multiscale Wavelet-Inspired Scheme for Nonlinear Diffusion. - Gerlind Plonka; Gabriele Steidl (Int. J. Wavelets Multiresolution Inf. Process., 2006)

Convergence of an Iterative Nonlinear Scheme for Denoising of Piecewise Constant Images. - Gerlind Plonka; Jianwei Ma (Int. J. Wavelets Multiresolution Inf. Process., 2007)

Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion. - Jianwei Ma; Gerlind Plonka (IEEE Trans. Image Process., 2007)

Numerical stability of biorthogonal wavelet transforms. - Gerlind Plonka; Hagen Schumacher; Manfred Tasche (Adv. Comput. Math., 2008)

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

Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures. - Gerlind Plonka; Jianwei Ma (IEEE Trans. Image Process., 2008)

Computing with Curvelets: From Image Processing to Turbulent Flows. - Jianwei Ma; Gerlind Plonka (Comput. Sci. Eng., 2009)

A New Sparse Representation of Seismic Data Using Adaptive Easy-Path Wavelet Transform. - Jianwei Ma; Gerlind Plonka; Hervé Chauris (IEEE Geosci. Remote. Sens. Lett., 2010)

The Curvelet Transform. - Jianwei Ma; Gerlind Plonka (IEEE Signal Process. Mag., 2010)

Curvelet-Wavelet Regularized Split Bregman Iteration for Compressed Sensing. - Gerlind Plonka; Jianwei Ma (Int. J. Wavelets Multiresolution Inf. Process., 2011)

Uniform spherical grids via equal area projection from the cube to the sphere. - Daniela Rosca; Gerlind Plonka (J. Comput. Appl. Math., 2011)

A New Hybrid Method for Image Approximation Using the Easy Path Wavelet Transform. - Gerlind Plonka; Stefanie Tenorth; Daniela Rosca (IEEE Trans. Image Process., 2011)

Optimally Sparse Image Representation by the Easy Path Wavelet Transform. - Gerlind Plonka; Stefanie Tenorth; Armin Iske (Int. J. Wavelets Multiresolution Inf. Process., 2012)

Compressive Video Sampling With Approximate Message Passing Decoding. - Jianwei Ma; Gerlind Plonka; M. Yousuff Hussaini (IEEE Trans. Circuits Syst. Video Technol., 2012)

Optimal representation of piecewise Hölder smooth bivariate functions by the Easy Path Wavelet Transform. - Gerlind Plonka; Armin Iske; Stefanie Tenorth (J. Approx. Theory, 2013)

Representation of sparse Legendre expansions. - Thomas Peter; Gerlind Plonka; Daniela Rosca (J. Symb. Comput., 2013)

Discrete Green's Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms. - Sebastian Hoffmann 001; Gerlind Plonka; Joachim Weickert (EMMCVPR, 2014)

Guest Editorial: Mathematics and Image Analysis. - Jalal Fadili; Gitta Kutyniok; Gabriel Peyré; Gerlind Plonka-Hoch; Gabriele Steidl (J. Math. Imaging Vis., 2015)

Relation between total variation and persistence distance and its application in signal processing. - Gerlind Plonka; Yi Zheng (Adv. Comput. Math., 2016)

Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain. - Robert Beinert; Gerlind Plonka (CoRR, 2016)

Inpainting-Based Image Compression (Dagstuhl Seminar 16462). - Christine Guillemot; Gerlind Plonka-Hoch; Thomas Pock; Joachim Weickert (Dagstuhl Reports, 2016)

Reconstruction of polygonal shapes from sparse Fourier samples. - Marius Wischerhoff; Gerlind Plonka (J. Comput. Appl. Math., 2016)

A deterministic sparse FFT algorithm for vectors with small support. - Gerlind Plonka; Katrin Wannenwetsch (Numer. Algorithms, 2016)

Sparse Phase Retrieval of One-Dimensional Signals by Prony's Method. - Robert Beinert; Gerlind Plonka (Frontiers Appl. Math. Stat., 2017)

A sparse fast Fourier algorithm for real non-negative vectors. - Gerlind Plonka; Katrin Wannenwetsch (J. Comput. Appl. Math., 2017)

JMIV Special Issue Mathematics and Image Analysis. - Jalal Fadili; Gitta Kutyniok; Gabriel Peyré; Gerlind Plonka-Hoch; Gabriele Steidl (J. Math. Imaging Vis., 2017)

Deterministic sparse FFT for M-sparse vectors. - Gerlind Plonka; Katrin Wannenwetsch; Annie A. M. Cuyt; Wen-shin Lee (Numer. Algorithms, 2018)

Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method. - Ran Zhang; Gerlind Plonka (Adv. Comput. Math., 2019)

Parseval Proximal Neural Networks. - Marzieh Hasannasab; Johannes Hertrich; Sebastian Neumayer; Gerlind Plonka; Simon Setzer; Gabriele Steidl (CoRR, 2019)

Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA). - Jean-François Aujol; Jalal Fadili; Michael Hintermüller; Gabriel Peyré; Gerlind Plonka-Hoch; Gabriele Steidl (J. Math. Imaging Vis., 2019)

Sparse fast DCT for vectors with one-block support. - Sina Bittens; Gerlind Plonka (Numer. Algorithms, 2019)

Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums. - Ingeborg Keller; Gerlind Plonka (CoRR, 2020)

Deterministic Sparse Sublinear FFT with Improved Numerical Stability. - Gerlind Plonka; Therese von Wulffen (CoRR, 2020)

Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm and Cadzow's Algorithm. - Hanna Knirsch; Markus Petz; Gerlind Plonka (CoRR, 2020)

Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients. - Markus Petz; Gerlind Plonka; Nadiia Derevianko (CoRR, 2020)

A tree-based dictionary learning framework. - Renato Budinich; Gerlind Plonka (Int. J. Wavelets Multiresolution Inf. Process., 2020)

Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients. - Nadiia Derevianko; Gerlind Plonka (CoRR, 2021)

From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation. - Nadiia Derevianko; Gerlind Plonka; Markus Petz (CoRR, 2021)

Detection of Retinal Abnormalities in OCT Images Using Wavelet Scattering Network. - Zahra Baharlouei; Hossein Rabbani; Gerlind Plonka (EMBC, 2022)

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 (EMBC, 2022)

Combining Non-Data-Adaptive Transforms for OCT Image Denoising by Iterative Basis Pursuit. - Raha Razavi; Hossein Rabbani; Gerlind Plonka (ICIP, 2022)

Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. - Gerlind Plonka; Yannick Riebe; Yurii Kolomoitsev (CoRR, 2022)

Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221). - Annie Cuyt; Wen-shin Lee; Gerlind Plonka-Hoch; Ferre Knaepkens (Dagstuhl Reports, 2022)

Reconstruction of Connected Digital Lines Based on Constrained Regularization. - Mojtaba Lashgari; Hossein Rabbani; Gerlind Plonka; Ivan W. Selesnick (IEEE Trans. Image Process., 2022)

Differential approximation of the Gaussian by short cosine sums with exponential error decay. - Nadiia Derevianko; Gerlind Plonka (CoRR, 2023)

ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. - Nadiia Derevianko; Gerlind Plonka; Raha Razavi (Numer. Algorithms, 2023)

MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration. - Gerlind Plonka; Yannick Riebe (CoRR, 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 Trans. Medical Imaging, 2024)

Application of Deep Dictionary Learning and Predefined Filters for Classification of Retinal Optical Coherence Tomography Images. - Fariba Shaker; Zahra Baharlouei; Gerlind Plonka; Hossein Rabbani (IEEE Access, 2025)

CircWaveDL: Modeling of optical coherence tomography images based on a new supervised tensor-based dictionary learning for classification of macular abnormalities. - Roya Arian; Alireza Vard; Rahele Kafieh; Gerlind Plonka; Hossein Rabbani (Artif. Intell. Medicine, 2025)

Phasebook: A Survey of Selected Open Problems in Phase Retrieval. - Marc Allain; Selin Aslan; Wim Coene; Sjoerd Dirksen; Jonathan Dong; Julien Flamant; Mark A. Iwen; Felix Krahmer; Tristan van Leeuwen; Oleh Melnyk; Andreas Menzel; Allard P. Mosk; et al. (CoRR, 2025)