Gerlind Plonka
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German applied mathematician
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Gerlind Plonkamathematics Degrees
Mathematics
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Applied Mathematics
#290
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Measure Theory
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Mathematics
Why Is Gerlind Plonka Influential?
(Suggest an Edit or Addition)According to Wikipedia, Gerlind Plonka-Hoch is a German applied mathematician specializing in signal processing and image processing, and known for her work on refinable functions and curvelets. She is a professor at the University of Göttingen, in the Institute for Numerical and Applied Mathematics.
Gerlind Plonka's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Approximation order provided by refinable function vectors (1997) (157)
- Regularity of refinable function vectors (1997) (140)
- A Review of Curvelets and Recent Applications (2009) (115)
- Construction of multiscaling functions with approximation and symmetry (1998) (113)
- Prony methods for recovery of structured functions (2014) (84)
- Fast and numerically stable algorithms for discrete cosine transforms (2005) (84)
- A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators (2013) (81)
- Numerical Fourier Analysis (2019) (80)
- Ambiguities in One-Dimensional Discrete Phase Retrieval from Fourier Magnitudes (2015) (77)
- The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data (2009) (65)
- From wavelets to multiwavelets (1998) (59)
- Sparse Deconvolution Methods for Ultrasonic NDT (2012) (48)
- A Unified Approach to Periodic Wavelets (1994) (43)
- How many Fourier samples are needed for real function reconstruction? (2013) (42)
- On the Computation of Periodic Spline Wavelets (1995) (42)
- Phase retrieval for Fresnel measurements using a shearlet sparsity constraint (2014) (32)
- Invertible integer DCT algorithms (2003) (30)
- A global method for invertible integer DCT and integer wavelet algorithms (2004) (25)
- Sparse graph-regularized dictionary learning for suppressing random seismic noiseGraph dictionary learning (2018) (23)
- Directional Haar Wavelet Frames on Triangles (2009) (21)
- Seismic data interpolation and denoising by learning a tensor tight frame (2017) (19)
- Using sparsity information for iterative phase retrieval in x-ray propagation imaging. (2016) (18)
- Prony's Method for Multivariate Signals (2015) (18)
- Some Notes on Two-Scale Difference Equations (2000) (17)
- Wavelet Shrinkage on Paths for Denoising of Scattered Data (2012) (16)
- Reconstruction of stationary and non-stationary signals by the generalized Prony method (2019) (15)
- Periodic Spline Interpolation with Shifted Nodes (1994) (14)
- Easy Path Wavelet Transform on Triangulations of the Sphere (2010) (13)
- Integer DCT—II by Lifting Steps (2003) (12)
- Sparse Deconvolution Methods for Ultrasonic NDT (2012) (10)
- Application of the AAK theory for sparse approximation of exponential sums (2016) (10)
- Two-scale symbol and autocorrelation symbol for B-splines with multiple knots (1995) (10)
- Generalized spline wavelets (1996) (10)
- The Generalized Operator Based Prony Method (2019) (10)
- Necessary and Sufficient Conditions for Orthonormality of Scaling Vectors (1997) (9)
- From Wavelets to Multiwavelets Mathematical Methods for Curves and Surfaces Ii 1 (1998) (9)
- Factorization of Refinement Masks of Function Vectors (1995) (9)
- Spectral Properties of Two-slanted Matrices (1999) (9)
- Pseudo-inverses of difference matrices and their application to sparse signal approximation (2015) (9)
- Computation of Adaptive Fourier Series by Sparse Approximation of Exponential Sums (2018) (9)
- Compactly supported solutions of two-scale difference equations (1998) (9)
- An Area Preserving Projection from the Regular Octahedron to the Sphere (2012) (8)
- Spline wavelets with higher defect (1994) (7)
- Efficient algorithms for periodic Hermite spline interpolation (1992) (7)
- Ambiguities in one‐dimensional phase retrieval of structured functions (2015) (6)
- Sparse fast DCT for vectors with one-block support (2018) (6)
- One-Dimensional Discrete-Time Phase Retrieval (2020) (6)
- Approximation Properties of Multi{scaling Functions: a Fourier Approach (1995) (6)
- Application of the AAK theory and Prony‐like Methods for sparse approximation of exponential sums (2017) (5)
- Sparse phase retrieval of structured signals by Prony's method (2017) (4)
- Real sparse fast DCT for vectors with short support (2018) (4)
- Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients (2021) (3)
- An efficient algorithm for periodic Hermite spline interpolation with shifted nodes (1993) (3)
- Iterative Phase Retrieval with Sparsity Constraints (2016) (3)
- A Digital Diffusion-Reaction Type Filter for Nonlinear Denoising (2009) (3)
- Deterministic sparse FFT algorithms (2015) (3)
- Fast Fourier Transforms for Nonequispaced Data (2018) (3)
- Frame Soft Shrinkage Operators are Proximity Operators (2019) (3)
- Adaptive Approximation Algorithms for Sparse Data Representation (2014) (2)
- Locally linearly independent vectors 1 Properties of locally linearly independent re nable function vectors (1)
- Reenement of Vectors of Bernstein Polynomials (1)
- The Difference between Optimal Rank‐1 Hankel Approximations in the Frobenius Norm and the Spectral Norm (2021) (1)
- Reconstruction of Non‐Stationary Signals by the Generalized Prony Method (2019) (1)
- Statistical modeling of retinal optical coherence tomography using the Weibull mixture model. (2021) (1)
- Ambiguities in One-Dimensional Discrete Phase Retrieval from Fourier Magnitudes (2015) (1)
- Convergence of Cascade Algorithmsin Sobolev Spaces for Perturbed Re¢nement Masks (2002) (1)
- On Stability of Scaling Vectors (2007) (1)
- Graph regularized seismic dictionary learning (2017) (1)
- Chebyshev Methods and Fast DCT Algorithms (2018) (1)
- Numerical stability of fast trigonometric and orthogonal wavelet transforms (2007) (1)
- Image approximation by a hybrid method based on the Easy Path Wavelet Transform (2009) (1)
- Sparse fast DCT for vectors with one-block support (2018) (1)
- Correction to: Parseval Proximal Neural Networks (2021) (1)
- Cardinal Hermite spline interpolation with shifted nodes (1994) (1)
- From Wavelets to Multiwavelets This Paper Considers a Recent Generalization Allowing Several Wavelet Functions Mathematical Methods for Curves and Surfaces Ii 1 (1998) (1)
- Prony Method for Reconstruction of Structured Functions (2018) (1)
- How Many Holes Can Locally Linearly Independent Refinable Function Vectors Have (2001) (0)
- Session MP1b: Wavelets (2009) (0)
- Curvelet Regularized Nonlinear Anisotropic Diffusion (2006) (0)
- How many Fourier samples are needed for real function reconstruction? (2012) (0)
- Hamburger Beiträge zur Angewandten Mathematik Adaptive Approximation Algorithms for Sparse Data Representation (2015) (0)
- Nonlinear Locally Adaptive Wavelet Filter Banks (2009) (0)
- Parseval Proximal Neural Networks (2020) (0)
- Hamburger Beiträge zur Angewandten Mathematik Optimally Sparse Image Representation by the Easy Path Wavelet Transform Dedicated to Wolfgang Dahmen on the occasion of his 60 th birthday (2009) (0)
- Retinal optical coherence tomography image analysis by a restricted Boltzmann machine. (2022) (0)
- An Area Preserving Projection from the Regular Octahedron to the Sphere (2012) (0)
- High-Dimensional FFT (2018) (0)
- Deconvolution methods for ultrasonic NDT (2011) (0)
- Deterministic Sparse Sublinear FFT with Improved Numerical Stability (2021) (0)
- Frame Soft Shrinkage as Proximity Operator (2019) (0)
- Iterative Sparse FFT for M‐sparse Vectors: Deterministic versus Random Sampling (2021) (0)
- Optimal shift parameters for periodic spline interpolation (1994) (0)
- Numerical Applications of DFT (2018) (0)
- Reconstruction of Connected Digital Lines Based on Constrained Regularization (2022) (0)
- Relation between total variation and persistence distance and its application in signal processing (2015) (0)
- Rational Functions for the Reconstruction of Exponential Sums from their Fourier Coefficients (2021) (0)
- Medical Image Fusion using Ridgelet Transform (2019) (0)
- Fast Fourier Transforms (2018) (0)
- Prony Methods for Sparse Reconstruction of Structured Functions (2014) (0)
- DATA-DRIVEN TIGHT FRAMES OF KRONECKER TYPE AND 1 APPLICATIONS TO SEISMIC DATA INTERPOLATION AND 2 DENOISING (2016) (0)
- How to construct your own directional wavelet frame (2014) (0)
- Deterministic sparse FFT for M-sparse vectors (2017) (0)
- A deterministic sparse FFT algorithm for vectors with small support (2015) (0)
- A generalized Prony method for sparse approximation (2014) (0)
- On Stability of Scaling VectorsGerlind PlonkaAbstract (1997) (0)
- Computation of Adaptive Fourier Series by Sparse Approximation of Exponential Sums (2018) (0)
- Wavelet Shrinkage on Paths for Denoising of Scattered Data (2012) (0)
- Adaptive Wavelet Methods for the Efficient Approximation of Images (2014) (0)
- The curvelet transform allows an almost optimal nonadaptive sparse representation for curve-like features and edges. The authors describe some recent applications involving image processing, seismic data exploration, turbulent flows, and compressed sensing. Computing with Curvelets From image pro C (2009) (0)
- Multidimensional Fourier Methods (2018) (0)
- Discrete Fourier Transforms (2018) (0)
- Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method (2019) (0)
- Preface of the guest‐editors (2014) (0)
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