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Plonka, Gerlind

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Author ID: plonka.gerlind Recent zbMATH articles by "Plonka, Gerlind"
Published as: Plonka, G.; Plonka, Gerlind
External Links: MGP · Wikidata · GND
Documents Indexed: 75 Publications since 1992, including 3 Books
Reviewing Activity: 184 Reviews

Publications by Year

Citations contained in zbMATH

60 Publications have been cited 440 times in 291 Documents Cited by Year
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
44
1997
Approximation order provided by refinable function vectors. Zbl 0870.41015
Plonka, G.
44
1997
Construction of multiscaling functions with approximation and symmetry. Zbl 0928.42017
Plonka, G.; Strela, V.
30
1998
A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators. Zbl 1276.47093
Peter, Thomas; Plonka, Gerlind
27
2013
Prony methods for recovery of structured functions. Zbl 1311.65012
Plonka, Gerlind; Tasche, Manfred
26
2014
A survey on \(L_2\)-approximation orders from shift-invariant spaces. Zbl 1039.42033
Jetter, K.; Plonka, G.
23
2001
From wavelets to multiwavelets. Zbl 0905.65138
Plonka, Gerlind; Strela, Vasily
18
1998
Fast and numerically stable algorithms for discrete cosine transforms. Zbl 1072.65171
Plonka, Gerlind; Tasche, Manfred
15
2005
On the computation of periodic spline wavelets. Zbl 0810.42018
Plonka, Gerlind; Tasche, Manfred
15
1995
A unified approach to periodic wavelets. Zbl 0874.42026
Plonka, Gerlind; Tasche, Manfred
15
1994
How many Fourier samples are needed for real function reconstruction? Zbl 1296.42001
Plonka, Gerlind; Wischerhoff, Marius
14
2013
Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes. Zbl 1388.42004
Beinert, Robert; Plonka, Gerlind
11
2015
Some notes on two-scale difference equations. Zbl 0978.39004
Berg, Lothar; Plonka, Gerlind
9
2000
On the construction of wavelets on a bounded interval. Zbl 0838.65140
Plonka, Gerlind; Selig, Kathi; Tasche, Manfred
8
1995
Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain. Zbl 1394.42001
Beinert, Robert; Plonka, Gerlind
7
2018
Spectral properties of two-slanted matrices. Zbl 0931.15004
Berg, Lothar; Plonka, Gerlind
7
1999
A deterministic sparse FFT algorithm for vectors with small support. Zbl 1341.65056
Plonka, Gerlind; Wannenwetsch, Katrin
6
2016
The easy path wavelet transform: A new adaptive wavelet transform for sparse representation of two-dimensional data. Zbl 1175.65158
Plonka, Gerlind
6
2009
A multiscale wavelet-inspired scheme for nonlinear diffusion. Zbl 1111.65075
Plonka, Gerlind; Steidl, Gabriele
6
2006
Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks. Zbl 1017.42029
Chen, Di-Rong; Plonka, Gerlind
6
2002
Representation of sparse Legendre expansions. Zbl 1261.65016
Peter, Thomas; Plonka, Gerlind; Roşca, Daniela
5
2013
Uniform spherical grids via equal area projection from the cube to the sphere. Zbl 1231.65044
Roşca, Daniela; Plonka, Gerlind
5
2011
Curvelet-wavelet regularized split Bregman iteration for compressed sensing. Zbl 1208.94017
Plonka, Gerlind; Ma, Jianwei
5
2011
Compactly supported solutions of two-scale difference equations. Zbl 0935.39003
Berg, Lothar; Plonka, Gerlind
5
1998
Two-scale symbol and autocorrelation symbol for B-splines with multiple knots. Zbl 0828.41007
Plonka, Gerlind
5
1995
Periodic spline interpolation with shifted nodes. Zbl 0803.41003
Plonka, Gerlind
5
1994
A sparse fast Fourier algorithm for real non-negative vectors. Zbl 1366.65118
Plonka, Gerlind; Wannenwetsch, Katrin
4
2017
Directional Haar wavelet frames on triangles. Zbl 1177.42031
Krommweh, Jens; Plonka, Gerlind
4
2009
Factorization of refinement masks of function vectors. Zbl 0927.42028
Plonka, Gerlind
4
1995
Numerical Fourier analysis. Zbl 1412.65001
Plonka, Gerlind; Potts, Daniel; Steidl, Gabriele; Tasche, Manfred
3
2018
Deterministic sparse FFT for \(M\)-sparse vectors. Zbl 06871983
Plonka, Gerlind; Wannenwetsch, Katrin; Cuyt, Annie; Lee, Wen-Shin
3
2018
Reconstruction of polygonal shapes from sparse Fourier samples. Zbl 1362.94012
Wischerhoff, Marius; Plonka, Gerlind
3
2016
Phase retrieval for Fresnel measurements using a shearlet sparsity constraint. Zbl 1293.42034
Loock, Stefan; Plonka, Gerlind
3
2014
Optimally sparse image representation by the easy path wavelet transform. Zbl 1251.42012
Plonka, Gerlind; Tenorth, Stefanie; Iske, Armin
3
2012
A new hybrid method for image approximation using the easy path wavelet transform. Zbl 1372.94210
Plonka, Gerlind; Tenorth, Stefanie; Roşca, Daniela
3
2011
Easy path wavelet transform on triangulations of the sphere. Zbl 1198.42052
Plonka, Gerlind; Roşca, Daniela
3
2010
A new factorization technique of the matrix mask of univariate refinable functions. Zbl 0982.65150
Plonka, Gerlind; Ron, Amos
3
2001
Spline wavelets with higher defect. Zbl 0815.65012
Plonka, G.
3
1994
Efficient algorithms for periodic Hermite spline interpolation. Zbl 0769.65005
Plonka, G.; Tasche, M.
3
1992
Computation of adaptive Fourier series by sparse approximation of exponential sums. Zbl 1420.42002
Plonka, Gerlind; Pototskaia, Vlada
2
2019
Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method. Zbl 1415.65095
Zhang, Ran; Plonka, Gerlind
2
2019
Optimal representation of piecewise Hölder smooth bivariate functions by the easy path wavelet transform. Zbl 1281.42040
Plonka, Gerlind; Iske, Armin; Tenorth, Stefanie
2
2013
An area preserving projection from the regular octahedron to the sphere. Zbl 1260.86015
Roşca, Daniela; Plonka, Gerlind
2
2012
Wavelet shrinkage on paths for denoising of scattered data. Zbl 1253.42034
Heinen, Dennis; Plonka, Gerlind
2
2012
Integer DCT-II by lifting steps. Zbl 1036.65118
Plonka, Gerlind; Tasche, Manfred
2
2003
Invertible integer DCT algorithms. Zbl 1030.65144
Plonka, Gerlind; Tasche, Manfred
2
2003
Necessary and sufficient conditions for orthonormality of scaling vectors. Zbl 0903.42017
Plonka, Gerlind
2
1997
Generalized spline wavelets. Zbl 0848.41009
Plonka, G.
2
1996
Approximation properties of multi-scaling functions: A Fourier approach. Zbl 0852.42021
Plonka, Gerlind
2
1995
Real sparse fast DCT for vectors with short support. Zbl 07125930
Bittens, Sina; Plonka, Gerlind
1
2019
Sparse fast DCT for vectors with one-block support. Zbl 07107362
Bittens, Sina; Plonka, Gerlind
1
2019
Reconstruction of stationary and non-stationary signals by the generalized Prony method. Zbl 1422.94015
Plonka, Gerlind; Stampfer, Kilian; Keller, Ingeborg
1
2019
Seismic data interpolation and denoising by learning a tensor tight frame. Zbl 1411.86004
Liu, Lina; Plonka, Gerlind; Ma, Jianwei
1
2017
Pseudo-inverses of difference matrices and their application to sparse signal approximation. Zbl 1338.15013
Plonka, Gerlind; Hoffmann, Sebastian; Weickert, Joachim
1
2016
Numerical stability of fast trigonometric and orthogonal wavelet transforms. Zbl 1060.65139
Plonka, Gerlind; Tasche, Manfred
1
2004
A global method for invertible integer DCT and integer wavelet algorithms. Zbl 1053.65103
Plonka, Gerlind
1
2004
Properties of locally linearly independent refinable function vectors. Zbl 1031.41020
Plonka, G.; Zhou, D.-X.
1
2003
On stability of scaling vectors. Zbl 0939.65148
Plonka, Gerlind
1
1997
Cardinal Hermite spline interpolation with shifted nodes. Zbl 0819.65008
Plonka, Gerlind; Tasche, Manfred
1
1994
An efficient algorithm for periodic Hermite spline interpolation with shifted nodes. Zbl 0803.65009
Plonka, Gerlind
1
1993
Computation of adaptive Fourier series by sparse approximation of exponential sums. Zbl 1420.42002
Plonka, Gerlind; Pototskaia, Vlada
2
2019
Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method. Zbl 1415.65095
Zhang, Ran; Plonka, Gerlind
2
2019
Real sparse fast DCT for vectors with short support. Zbl 07125930
Bittens, Sina; Plonka, Gerlind
1
2019
Sparse fast DCT for vectors with one-block support. Zbl 07107362
Bittens, Sina; Plonka, Gerlind
1
2019
Reconstruction of stationary and non-stationary signals by the generalized Prony method. Zbl 1422.94015
Plonka, Gerlind; Stampfer, Kilian; Keller, Ingeborg
1
2019
Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain. Zbl 1394.42001
Beinert, Robert; Plonka, Gerlind
7
2018
Numerical Fourier analysis. Zbl 1412.65001
Plonka, Gerlind; Potts, Daniel; Steidl, Gabriele; Tasche, Manfred
3
2018
Deterministic sparse FFT for \(M\)-sparse vectors. Zbl 06871983
Plonka, Gerlind; Wannenwetsch, Katrin; Cuyt, Annie; Lee, Wen-Shin
3
2018
A sparse fast Fourier algorithm for real non-negative vectors. Zbl 1366.65118
Plonka, Gerlind; Wannenwetsch, Katrin
4
2017
Seismic data interpolation and denoising by learning a tensor tight frame. Zbl 1411.86004
Liu, Lina; Plonka, Gerlind; Ma, Jianwei
1
2017
A deterministic sparse FFT algorithm for vectors with small support. Zbl 1341.65056
Plonka, Gerlind; Wannenwetsch, Katrin
6
2016
Reconstruction of polygonal shapes from sparse Fourier samples. Zbl 1362.94012
Wischerhoff, Marius; Plonka, Gerlind
3
2016
Pseudo-inverses of difference matrices and their application to sparse signal approximation. Zbl 1338.15013
Plonka, Gerlind; Hoffmann, Sebastian; Weickert, Joachim
1
2016
Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes. Zbl 1388.42004
Beinert, Robert; Plonka, Gerlind
11
2015
Prony methods for recovery of structured functions. Zbl 1311.65012
Plonka, Gerlind; Tasche, Manfred
26
2014
Phase retrieval for Fresnel measurements using a shearlet sparsity constraint. Zbl 1293.42034
Loock, Stefan; Plonka, Gerlind
3
2014
A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators. Zbl 1276.47093
Peter, Thomas; Plonka, Gerlind
27
2013
How many Fourier samples are needed for real function reconstruction? Zbl 1296.42001
Plonka, Gerlind; Wischerhoff, Marius
14
2013
Representation of sparse Legendre expansions. Zbl 1261.65016
Peter, Thomas; Plonka, Gerlind; Roşca, Daniela
5
2013
Optimal representation of piecewise Hölder smooth bivariate functions by the easy path wavelet transform. Zbl 1281.42040
Plonka, Gerlind; Iske, Armin; Tenorth, Stefanie
2
2013
Optimally sparse image representation by the easy path wavelet transform. Zbl 1251.42012
Plonka, Gerlind; Tenorth, Stefanie; Iske, Armin
3
2012
An area preserving projection from the regular octahedron to the sphere. Zbl 1260.86015
Roşca, Daniela; Plonka, Gerlind
2
2012
Wavelet shrinkage on paths for denoising of scattered data. Zbl 1253.42034
Heinen, Dennis; Plonka, Gerlind
2
2012
Uniform spherical grids via equal area projection from the cube to the sphere. Zbl 1231.65044
Roşca, Daniela; Plonka, Gerlind
5
2011
Curvelet-wavelet regularized split Bregman iteration for compressed sensing. Zbl 1208.94017
Plonka, Gerlind; Ma, Jianwei
5
2011
A new hybrid method for image approximation using the easy path wavelet transform. Zbl 1372.94210
Plonka, Gerlind; Tenorth, Stefanie; Roşca, Daniela
3
2011
Easy path wavelet transform on triangulations of the sphere. Zbl 1198.42052
Plonka, Gerlind; Roşca, Daniela
3
2010
The easy path wavelet transform: A new adaptive wavelet transform for sparse representation of two-dimensional data. Zbl 1175.65158
Plonka, Gerlind
6
2009
Directional Haar wavelet frames on triangles. Zbl 1177.42031
Krommweh, Jens; Plonka, Gerlind
4
2009
A multiscale wavelet-inspired scheme for nonlinear diffusion. Zbl 1111.65075
Plonka, Gerlind; Steidl, Gabriele
6
2006
Fast and numerically stable algorithms for discrete cosine transforms. Zbl 1072.65171
Plonka, Gerlind; Tasche, Manfred
15
2005
Numerical stability of fast trigonometric and orthogonal wavelet transforms. Zbl 1060.65139
Plonka, Gerlind; Tasche, Manfred
1
2004
A global method for invertible integer DCT and integer wavelet algorithms. Zbl 1053.65103
Plonka, Gerlind
1
2004
Integer DCT-II by lifting steps. Zbl 1036.65118
Plonka, Gerlind; Tasche, Manfred
2
2003
Invertible integer DCT algorithms. Zbl 1030.65144
Plonka, Gerlind; Tasche, Manfred
2
2003
Properties of locally linearly independent refinable function vectors. Zbl 1031.41020
Plonka, G.; Zhou, D.-X.
1
2003
Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks. Zbl 1017.42029
Chen, Di-Rong; Plonka, Gerlind
6
2002
A survey on \(L_2\)-approximation orders from shift-invariant spaces. Zbl 1039.42033
Jetter, K.; Plonka, G.
23
2001
A new factorization technique of the matrix mask of univariate refinable functions. Zbl 0982.65150
Plonka, Gerlind; Ron, Amos
3
2001
Some notes on two-scale difference equations. Zbl 0978.39004
Berg, Lothar; Plonka, Gerlind
9
2000
Spectral properties of two-slanted matrices. Zbl 0931.15004
Berg, Lothar; Plonka, Gerlind
7
1999
Construction of multiscaling functions with approximation and symmetry. Zbl 0928.42017
Plonka, G.; Strela, V.
30
1998
From wavelets to multiwavelets. Zbl 0905.65138
Plonka, Gerlind; Strela, Vasily
18
1998
Compactly supported solutions of two-scale difference equations. Zbl 0935.39003
Berg, Lothar; Plonka, Gerlind
5
1998
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
44
1997
Approximation order provided by refinable function vectors. Zbl 0870.41015
Plonka, G.
44
1997
Necessary and sufficient conditions for orthonormality of scaling vectors. Zbl 0903.42017
Plonka, Gerlind
2
1997
On stability of scaling vectors. Zbl 0939.65148
Plonka, Gerlind
1
1997
Generalized spline wavelets. Zbl 0848.41009
Plonka, G.
2
1996
On the computation of periodic spline wavelets. Zbl 0810.42018
Plonka, Gerlind; Tasche, Manfred
15
1995
On the construction of wavelets on a bounded interval. Zbl 0838.65140
Plonka, Gerlind; Selig, Kathi; Tasche, Manfred
8
1995
Two-scale symbol and autocorrelation symbol for B-splines with multiple knots. Zbl 0828.41007
Plonka, Gerlind
5
1995
Factorization of refinement masks of function vectors. Zbl 0927.42028
Plonka, Gerlind
4
1995
Approximation properties of multi-scaling functions: A Fourier approach. Zbl 0852.42021
Plonka, Gerlind
2
1995
A unified approach to periodic wavelets. Zbl 0874.42026
Plonka, Gerlind; Tasche, Manfred
15
1994
Periodic spline interpolation with shifted nodes. Zbl 0803.41003
Plonka, Gerlind
5
1994
Spline wavelets with higher defect. Zbl 0815.65012
Plonka, G.
3
1994
Cardinal Hermite spline interpolation with shifted nodes. Zbl 0819.65008
Plonka, Gerlind; Tasche, Manfred
1
1994
An efficient algorithm for periodic Hermite spline interpolation with shifted nodes. Zbl 0803.65009
Plonka, Gerlind
1
1993
Efficient algorithms for periodic Hermite spline interpolation. Zbl 0769.65005
Plonka, G.; Tasche, M.
3
1992
all top 5

Cited by 389 Authors

32 Plonka, Gerlind
9 Charina, Maria
9 Conti, Costanza
8 Chen, Dirong
8 Han, Bin
8 Tasche, Manfred
8 Yang, Shouzhi
7 Jiang, Qingtang
7 Prestin, Jurgen
6 Protasov, Vladimir Yu.
6 Roşca, Daniela
5 Berg, Lothar
5 Krüppel, Manfred
5 Li, Song
5 Potts, Daniel
5 Romani, Lucia
5 Sun, Qiyu
5 Yomdin, Yosef
4 Aldroubi, Akram
4 Bendory, Tamir
4 Cui, Lihong
4 Goldman, Gil
4 Jia, Rong-Qing
4 Kunis, Stefan
4 Li, Baobin
4 Peng, Lizhong
4 Perera, Sirani M.
4 Shen, Zuowei
4 Yang, Jianbin
3 Ashino, Ryuichi
3 Beinert, Robert
3 Bittens, Sina Vanessa
3 Cabrelli, Carlos A.
3 Chen, Hanlin
3 Cuyt, Annie A. M.
3 Huang, Yongdong
3 Iske, Armin
3 Iwen, Mark A.
3 Jetter, Kurt
3 Krishtal, Ilya Arkadievich
3 Lee, Wen-shin
3 Peter, Thomas
3 Putinar, Mihai
3 Ron, Amos
3 Sauer, Tomas
3 Sheng, Qiuhui
3 Steidl, Gabriele
3 Unser, Michael A.
3 von der Ohe, Ulrich
3 Wannenwetsch, Katrin
3 Xie, Changzhen
3 Zhang, Qingyue
3 Zhou, Dingxuan
2 Akinshin, Andrey
2 Andersson, Fredrik K.
2 Batenkov, Dmitry
2 Bergmann, Ronny
2 Britaňák, Vladimír
2 Budinich, Renato
2 Bultheel, Adhemar François
2 Carlsson, Marcus
2 Chui, Charles Kam-tai
2 Daubechies, Ingrid Chantal
2 Dekel, Shai
2 Edidin, Dan
2 Forster, Brigitte
2 Gao, Xieping
2 Goh, Say Song
2 Guglielmi, Nicola
2 Heil, Christopher E.
2 Holhoş, Adrian
2 Lebedeva, Elena A.
2 Lian, Jian’ao
2 Liu, Jianhua
2 Lou, Yifei
2 Marchesini, Stefano
2 Möller, Hans Michael
2 Molter, Ursula Maria
2 Peng, Silong
2 Ruch, David K.
2 Sauer, Thomas
2 Sprengel, Frauke
2 Stampfer, Kilian
2 Tang, Sui
2 Tenorth, Stefanie
2 Teo, Kok-Ming
2 Vaillancourt, Rémi
2 Van Fleet, Patrick J.
2 Zeng, Tie Yong
2 Zhang, Ruochuan
1 Abascal, Juan-Felipe P. J.
1 Akhtar, Md. Nasim
1 Alkhidhr, Hanan
1 Aràndiga, Francesc
1 Arnal, Romain D.
1 Arriëns, Huibert J. Lincklaen
1 Asaeedi, Saeed
1 Atreas, Nikolaos D.
1 Averbuch, Amir Z.
1 Aziznejad, Shayan
...and 289 more Authors
all top 5

Cited in 84 Serials

29 Applied and Computational Harmonic Analysis
18 Advances in Computational Mathematics
18 International Journal of Wavelets, Multiresolution and Information Processing
17 Journal of Approximation Theory
14 The Journal of Fourier Analysis and Applications
13 Journal of Computational and Applied Mathematics
10 Results in Mathematics
9 Computers & Mathematics with Applications
9 Journal of Mathematical Analysis and Applications
9 Numerical Algorithms
9 Acta Mathematica Sinica. English Series
8 Mathematics of Computation
7 Inverse Problems
7 Linear Algebra and its Applications
6 Applied Mathematics and Computation
4 Proceedings of the American Mathematical Society
4 Constructive Approximation
3 Numerical Functional Analysis and Optimization
3 Numerische Mathematik
3 Computer Aided Geometric Design
3 Applied Numerical Mathematics
3 SIAM Journal on Imaging Sciences
2 Applicable Analysis
2 Journal of Functional Analysis
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Transactions of the American Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of Symbolic Computation
2 Journal of Complexity
2 SIAM Journal on Matrix Analysis and Applications
2 Science in China. Series A
2 Signal Processing
2 St. Petersburg Mathematical Journal
2 ETNA. Electronic Transactions on Numerical Analysis
2 Abstract and Applied Analysis
2 Journal of Applied Mathematics and Computing
2 Analysis in Theory and Applications
2 Analysis and Applications (Singapore)
2 Science in China. Series F
2 Complex Analysis and Operator Theory
2 Science China. Mathematics
2 SIAM Journal on Applied Algebra and Geometry
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 BIT
1 Czechoslovak Mathematical Journal
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Circuits, Systems, and Signal Processing
1 Discrete & Computational Geometry
1 Computational Mechanics
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Multidimensional Systems and Signal Processing
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 Acta Mathematica Sinica. New Series
1 The Journal of Analysis
1 Turkish Journal of Mathematics
1 ELA. The Electronic Journal of Linear Algebra
1 Mathematical Problems in Engineering
1 The ANZIAM Journal
1 Foundations of Computational Mathematics
1 Sampling Theory in Signal and Image Processing
1 GAMM-Mitteilungen
1 Frontiers of Mathematics in China
1 Inverse Problems and Imaging
1 EURASIP Journal on Advances in Signal Processing
1 Mathematical Geosciences
1 Proceedings of the Estonian Academy of Sciences
1 Journal of Singularities
1 Acta Crystallographica. Section A
1 Information and Inference
1 Axioms
1 Mathematical Sciences
1 Journal of Classical Analysis
1 SMAI Journal of Computational Mathematics

Citations by Year

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