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Journal-Publikationen

Journal-Publikationen
Nr.
Titel
74
H. Bölcskei, P. Grohs, G. Kutyniok, and P. Petersen.
Optimal Approximation with Sparsely Connected Deep Neural Networks.
Submitted (2017).
Download (PDF, 577,5 KB)
73
J. Ma, M. März, S. Funk, J. Schulz-Menger, G. Kutyniok, T. Schaeffter, and C. Kolbitsch.
Shearlet-based compressed sensing for fast 3D cardiac MR imaging using iterative reweighting.
Submitted (2017).
Download (PDF, 2,5 MB)
72
M. Genzel and G. Kutyniok.
A Mathematical Framework for Feature Selection from Real-World Data with Non-Linear Observations.
Submitted (2016).
Download (PDF, 471,4 KB)
71
R. Reisenhofer, S. Bosse, G. Kutyniok, and T. Wiegand.
A Haar Wavelet-Based Perceptual Similarity Index for Image Quality Assessment.
Submitted (2016).
Download (PDF, 2,9 MB)
Download Code (M, 4,7 KB)
70
W. Dahmen, G. Kutyniok, W.-Q Lim, C. Schwab, and G. Welper.
Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations.
Submitted (2015).
Download (PDF, 1,3 MB)
69
P. Grohs, G. Kutyniok, J. Ma, and P. Petersen.
Anisotropic Multiscale Systems on Bounded Domains.
Submitted (2015).
Download (PDF, 575,2 KB)
68
G. Kutyniok and W.-Q Lim.
Optimal Compressive Imaging of Fourier Data.
Submitted (2015).
Download (PDF, 523,8 KB)
67
A. Flinth and G. Kutyniok.
PROMP: A Sparse Recovery Approach to Lattice-Valued Signals.
Appl. Comput. Harmon. Anal., to appear.
Download (PDF, 1,0 MB)
66
S. Keiper, G. Kutyniok, D. G. Lee, and G. E. Pfander.
Compressed Sensing for Finite-Valued Signals.
Linear Algebra Appl. 532 (2017), 570-613.
Download (PDF, 1,1 MB)
65
T. Conrad, N. Cvetkovic, M. Genzel, G. Kutyniok, C. Schütte, J. Vybiral, and N. Wulkow.
Sparse Proteomics Analysis - a Compressed Sensing-based Approach for Feature Selection and Classification of High-Dimensional Proteomics Mass Spectrometry Data.
BMC Bioinformatics 18 (2017), 160-180.
Download (PDF, 1,011,4 KB)
64
G. Kutyniok, V. Paternostro, and F. Philipp.
The Effect of Perturbations of Frame Sequences and Fusion Frames on Their Duals.
Oper. Matrices 11 (2017), 301-336.
Download (PDF, 407,0 KB)
63
G. Kutyniok, V. Mehrmann, and P. Petersen.
Regularization and Numerical Solution of the Inverse Scattering Problem using Shearlet Frames.
J. Inverse Ill-Posed Probl. 25 (2017), 287-309.
Download
62
G. Kutyniok and P. Petersen.
Classification of Edges using Compactly Supported Shearlets.
Appl. Comput. Harmon. Anal. 42 (2017), 245-293.
Download (PDF, 560,6 KB)
61
P. Grohs, S. Keiper, G. Kutyniok, and M. Schäfer.
Cartoon Approximation with $\alpha$-Curvelets.
J. Fourier Anal. Appl. 22 (2016), 1235-1293.
Download (PDF, 724,3 KB)
60
D. Mücke-Herzberg, P. Abellan, M. Sarahan, I. Godfrey, Z. Saghi, R. Leary, A. Stevens, J. Ma, G. Kutyniok, F. Azough, R. Freer, P. Midgley, N. Browning, and Q. Ramasse.
Practical Implementation of Compressive Sensing for High Resolution STEM
Microsc. Microanal. 22(S3) (2016), 558-559.
59
G. Kutyniok and W.-Q Lim.
Dualizable Shearlet Frames and Sparse Approximation.
Constr. Approx. 44 (2016), 53-86.
Download (PDF, 290,3 KB)
58
P. Grohs, S. Keiper, G. Kutyniok, and M. Schäfer.
$\alpha$-Molecules.
Appl. Comput. Harmon. Anal. 42 (2016), 297-336.
Download (PDF, 752,8 KB)
57
G. Kutyniok, W.-Q Lim, and R. Reisenhofer.
ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets.
ACM Trans. Math. Software 42 (2016), Article No.: 5.
Download (PDF, 1,5 MB)
56
H. Lakshman, W.-Q Lim, H. Schwarz, D. Marpe, G.Kutyniok, and T. Wiegand.
Image interpolation using Shearlet based iterative refinement.
Signal Proc. Image Comm. 36 (2015), 83–94.
Download (PDF, 835,4 KB)
55
X. Chen, G. Kutyniok, K. A. Okoudjou, F. Philipp, and R. Wang.
Measures of Scalability.
IEEE Trans. Inform. Theory 61 (2015), 4410-4423 .
Download (PDF, 466,1 KB)
54
B. Adcock, A. C. Hansen, G. Kutyniok, and J. Ma.
Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements.
SIAM J. Math. Anal. 47 (2015), 1196-1233.
Download (PDF, 1,4 MB) 
53
B. Bodmann, G. Kutyniok, and X. Zhuang.
Gabor Shearlets.
Appl. Comput. Harmon. Anal. 38 (2015), 87-114.
Download (PDF, 196,9 KB)
52
M. Genzel and G. Kutyniok.
Asymptotic Analysis of Inpainting via Universal Shearlet Systems.
SIAM J. Imaging Sci. 7 (2014), 2301-2339.
Download (PDF, 880,0 KB)
51
P. Grohs and G. Kutyniok.
Parabolic Molecules.
Found. Comput. Math. 14 (2014), 299-337.
Download (PDF, 460,3 KB)
50
F. Krahmer, G. Kutyniok, and J. Lemvig.
Sparse Matrices in Frame Theory.
Comput. Stat. 29 (2014), 547-568.
Download (PDF, 142,5 KB)
49
E. J. King, G. Kutyniok, and X. Zhuang.
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis.
J. Math. Imaging Vis. 48 (2014), 205-234.
Download (PDF, 615,2 KB)
48
G. Kutyniok.
Geometric Separation by Single-Pass Alternating Thresholding.
Appl. Comput. Harmon. Anal. 36 (2014), 23-50.
Download (PDF, 376,7 KB)
47
J. Cahill, P. G. Casazza, and G. Kutyniok.
Operators and Frames.
J. Operat. Theor. 70 (2013), 145-164.
Download (PDF, 176,9 KB)
46
F. Krahmer, G. Kutyniok, and J. Lemvig.
Sparsity and spectral properties of dual frames.
Linear Algebra Appl. 439 (2013), 982-998.
Download (PDF, 300,8 KB)
45
G. Kutyniok.
Clustered Sparsity and Separation of Cartoon and Texture.
SIAM J. Imaging Sci. 6 (2013), 848–874.
Download (PDF, 334,4 KB)
44
G. Kutyniok, K. A. Okoudjou, F. Philipp, and E. K. Tuley.
Scalable Frames.
Linear Algebra Appl. 438 (2013), 2225–2238.
Download (PDF, 640,8 KB)
43
D. L. Donoho and G. Kutyniok.
Microlocal Analysis of the Geometric Separation Problem.
Comm. Pure Appl. Math. 66 (2013), 1-47.
Download (PDF, 489,2 KB)
42
G. Kutyniok, M. Shahram, and X. Zhuang.
ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm.
SIAM J. Imaging Sci. 5 (2012), 1291–1332.    
Download (PDF, 1,0 MB)
41
G. Kutyniok, J. Lemvig, and W.-Q Lim.
Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames.      
SIAM J. Math. Anal. 44 (2012), 2962-3017.
Download (PDF, 1,0 MB)
40
P. Kittipoom, G. Kutyniok, and W.-Q Lim.
Construction of Compactly Supported Shearlet Frames.
Constr. Approx. 35 (2012), 21-72.   
Download (PDF, 402,3 KB)
39
P. G. Casazza, A. Heinecke, F. Krahmer, and G. Kutyniok.
Optimally Sparse Frames.
IEEE Trans. Inform. Theory 57 (2011), 7279-7287.
Download (PDF, 135,7 KB)
38
B. Han, G. Kutyniok, and Z. Shen.
Adaptive Multiresolution Analysis Structures and Shearlet Systems.
SIAM J. Numer. Anal. 49 (2011), 1921-1946.    
Download (PDF, 637,7 KB)
37
G. Kutyniok and W.-Q Lim.
Compactly Supported Shearlets are Optimally Sparse.
J. Approx. Theory 163 (2011), 1564-1589.     
Download (PDF, 191,0 KB)
36
P. Kittipoom, G. Kutyniok, and W.-Q Lim.
Irregular Shearlet Frames: Geometry and Approximation Properties.
J. Fourier Anal. Appl. 17 (2011), 604-639.    
Download (PDF, 367,4 KB)
35
B. Boufounos, G. Kutyniok, and H. Rauhut.
Sparse Recovery from Combined Fusion Frame Measurements.
IEEE Trans. Inform. Theory 57 (2011), 3864-3876.    
Download (PDF, 393,4 KB)
34
R. Calderbank, P. G. Casazza, A. Heinecke, G. Kutyniok, and A. Pezeshki.
Sparse Fusion Frames: Existence and Construction.
Adv. Comput. Math. 35 (2011), 1-31.    
Download (PDF, 246,2 KB)
33
B. G. Bodmann, P. G. Casazza, and G. Kutyniok.
A Quantitative Notion of Redundancy for Finite Frames.
Appl. Comput. Harmon. Anal. 30 (2011), 348-362.    
Download (PDF, 228,7 KB)
32
G. Kutyniok and T. Sauer.
Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis.
SIAM J. Math. Anal. 41 (2009), 1436-1471.    
Download (PDF, 598,7 KB)
31
S. Dahlke, G. Kutyniok, G. Steidl, and G. Teschke.
Shearlet Coorbit Spaces and associated Banach Frames.
Appl. Comput. Harmon. Anal. 27 (2009), 195-214.
Download (PDF, 1,1 MB)
30
G. Kutyniok and D. Labate.
Resolution of the Wavefront Set using Continuous Shearlets.
Trans. Amer. Math. Soc. 361 (2009), 2719-2754.
Download (PDF, 364,0 KB)
29
G. Kutyniok, A. Pezeshki, A. R. Calderbank, and T. Liu.
Robust Dimension Reduction, Fusion Frames, and Grassmannian Packings.
Appl. Comput. Harmon. Anal. 26 (2009), 64-76.
Download (PDF, 209,7 KB)
28
K. Gröchenig, G. Kutyniok, and K. Seip.
Landau's necessary density conditions for LCA groups.
J. Funct. Anal. 255 (2008), 1831-1850.
Download (PDF, 248,9 KB)
27
W. Czaja, G. Kutyniok, and D. Speegle.
Beurling dimension of Gabor pseudoframes for affine subspaces.
J. Fourier Anal. Appl. 14 (2008), 514-537.
Download (PDF, 274,0 KB)
26
C. Heil and G. Kutyniok.
Density of frames and Schauder bases of windowed exponentials.
Houston J. Math. 34 (2008), 565-600.
Download (PDF, 274,3 KB)
25
P. G. Casazza, G. Kutyniok, and S. Li.
Fusion Frames and Distributed Processing.
Appl. Comput. Harmon. Anal. 25 (2008), 114-132.
Download (PDF, 272,7 KB)
24
G. Kutyniok.
Time/Frequency Analysis.
Human Cognitive Neurophysiology 1 (2008), 12-21.
Download (PDF, 304,7 KB)
23
S. Dahlke, G. Kutyniok, P. Maass, C. Sagiv, H.-G. Stark, and G. Teschke.
The Uncertainty Principle Associated with the Continuous Shearlet Transform.
Int. J. Wavelets Multiresolut. Inf. Process. 6 (2008), 157-181.
Download (PDF, 468,6 KB)
22
P. G. Casazza, G. Kutyniok, D. Speegle, and J. C. Tremain.
A Decomposition Theorem for frames and the Feichtinger Conjecture.
Proc. Amer. Math. Soc. 136 (2008), 2043-2053.
Download (PDF, 197,5 KB)
21
A. Klein, G. Kutyniok, T. Sauer, and W. Skrandies.
Wavelets in Neurophysiology.
Brain Topography 20 (2007), 52-53.
Download (PDF, 18,6 KB)
20
C. Heil and G. Kutyniok.
The Homogeneous Approximation Property for Wavelet Frames.
J. Approx. Theory 147 (2007), 28-46.
Download (PDF, 207,7 KB)
19
G. Kutyniok and D. Labate.
Construction of Regular and Irregular Shearlet Frames.
J. Wavelet Theory and Appl. 1 (2007), 1-10.
Download (PDF, 141,0 KB)
18
P.G. Casazza and G. Kutyniok.
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames.
Adv. Comput. Math. 27 (2007), 65-78.
Download (PDF, 153,6 KB)
17
G. Kutyniok.
Affine density, frame bounds, and the admissibility condition for wavelet frames.
Constr. Approx. 25 (2007), 239-253.
Download (PDF, 186,2 KB)
16
R. Balan, P.G. Casazza, D. Edidin, and G. Kutyniok.
A new identity for Parseval frames.
Proc. Amer. Math. Soc. 135 (2007), 1007-1015.
Download (PDF, 127,5 KB)
15
G. Kutyniok and D. Labate.
The theory of reproducing systems on locally compact abelian groups.
Colloq. Math. 106 (2006), 197-220.
Download (PDF, 234,9 KB)
14
P.G. Casazza, G. Kutyniok, and D. Speegle.
A redundant version of the Rado-Horn Theorem.
Linear Algebra Appl. 418 (2006), 1-10.
Download (PDF, 144,4 KB)
13
G. Kutyniok.
Beurling density and shift-invariant weighted irregular Gabor systems.
Sampl. Theory Signal Image Process. 5 (2006), 163-181.
Download (PDF, 201,5 KB)
12
G. Kutyniok.
The local integrability condition for wavelet frames.
J. Geom. Anal. 16 (2006), 155-166.
Download (PDF, 171,4 KB)
11
W. Czaja, G. Kutyniok, and D. Speegle.
The geometry of sets of parameters of wave packet frames.
Appl. Comput. Harmon. Anal. 20 (2006), 108-125.
Download (PDF, 197,4 KB)
10
G. Kutyniok and T. Strohmer.
Wilson bases for general time-frequency lattices.
SIAM J. Math. Anal. 37 (2005), 685-711.
Download (PDF, 328,4 KB)
9
P.G. Casazza, G. Kutyniok, and M.C. Lammers.
Duality principles in frame theory.
J. Fourier Anal. Appl. 10 (2004), 383-408.
Download (PDF, 289,8 KB)
8
G. Kutyniok.
A weak qualitative uncertainty principle for compact groups.
Illinois J. Math. 47 (2003), 709-724.
Download (PDF, 235,6 KB)
7
G. Kutyniok.
A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups.
J. Math. Anal. Appl. 279 (2003), 580-596.
Download (PDF, 259,4 KB)
6
C. Heil and G. Kutyniok.
Density of weighted wavelet frames.
J. Geom. Anal. 13 (2003), 479-493.
Download (PDF, 254,8 KB)
5
G. Kutyniok.
Ambiguity functions, Wigner distributions and Cohen's class for LCA groups.
J. Math. Anal. Appl. 277 (2003), 589-608.
Download (PDF, 280,5 KB)
4
K. Gröchenig, D. Han, C. Heil, and G. Kutyniok.
The Balian-Low theorem for symplectic lattices in higher dimensions.
Appl. Comput. Harmon. Anal. 13 (2002), 169-176.
Download (PDF, 228,9 KB)
3
G. Kutyniok.
The Zak transform on certain locally compact groups.
J. of Math. Sciences 1 (2002), 62-85.
Download (PDF, 270,7 KB)
2
G. Kutyniok.
Linear independence of time-frequency shifts under a generalized Schrödinger representation.
Arch. Math. 78 (2002), 135-144.
Download (PDF, 219,9 KB)
1
E. Kaniuth and G. Kutyniok.
Zeros of the Zak transform on locally compact abelian groups.
Proc. Amer. Math. Soc. 126 (1998), 3561-3569.
Download (PDF, 193,0 KB)

Begutachtete Konferenz-Publikationen

Begutachtete Konferenz-Publikationen
Nr.
Titel
47
S. Keiper, G. Kutyniok, D. Lee, and G. Pfander.
Reconstruction of finite-valued sparse signals.
Wavelets and Sparsity XVII (San Diego, CA, 2017), 1039415, SPIE Proc. 10394, SPIE, Bellingham, WA, 2017.
Download (PDF, 762,8 KB)
46
H. Bölcskei, P. Grohs, G. Kutyniok, and P. Petersen.
Memory-Optimal Neural Network Approximation.
Wavelets and Sparsity XVII (San Diego, CA, 2017), 103940Q, SPIE Proc. 10394, SPIE, Bellingham, WA, 2017.
Download (PDF, 369,7 KB)
45
D. Mücke-Herzberg, P. Abellan, M. Sarahan, I. Godfrey, Z. Saghi, R. Leary, A. Stevens, J. Ma, G. Kutyniok, F. Azough, R. Freer, P. Midgley, N. Browning, and Q. Ramasse.
A Compressive Sensing based acquisition design for quantitative ultra-low dose high-resolution imaging and spectroscopy in the STEM.
Proceedings of the European Microscopy Congress, 2016.
44
G. Kutyniok, V. Paternostro, and F. Philipp.
Perturbations of Fusion Frames and the Effect on Their Canonical Dual.
Wavelets and Sparsity XVI (San Diego, CA, 2015), 95970S-95977S, SPIE Proc. 9597, SPIE, Bellingham, WA, 2015.
Download (PDF, 292,3 KB)
43
P. Grohs, S. Keiper, G. Kutyniok, and M. Schäfer.
Parabolic Molecules: Curvelets, Shearlets, and Beyond.
Approximation Theory XIV (San Antonio, TX, 2013), 141-172, Springer Proc. Math., 2014.
Download (PDF, 332,2 KB)
42
G. Kutyniok, K. Okoudjou, and F. Philipp.
Scalable Frames and Convex Geometry.
Spectra of Wavelets, Tilings, and Frames (Boulder, CO, 2012), Contemp. Math. 345, 19-32, Amer. Math. Soc., Providence, RI, 2013.
Download (PDF, 339,0 KB)
41
H. Boche, M. Guillemard, G. Kutyniok, and F. Philipp.
Signal Recovery from Thresholded Frame Measurements.
Wavelets and Sparsity XV (San Diego, CA, 2013), D88580-1-D88580-7, SPIE Proc. 8858, SPIE, Bellingham, WA, 2013.
Download (PDF, 278,6 KB)
40
E. King, G.Kutyniok, and W.-Q Lim
Image Inpainting: Theoretical Analysis and Comparison of Algorithms.
Wavelets and Sparsity XV (San Diego, CA, 2013), 885802-1-885802-11, SPIE Proc. 8858, SPIE, Bellingham, WA, 2013.
Download (PDF, 2,6 MB)
39
S. Keiper, G.Kutyniok, P. Grohs, and M. Schäfer.
Alpha-Molecules: Curvelets, Shearlets, Ridgelets, and Beyond.
Wavelets and Sparsity XV (San Diego, CA, 2013), 885804-1-885804-12, SPIE Proc. 8858, SPIE, Bellingham, WA, 2013.
Download (PDF, 198,5 KB)
38
G. Kutyniok, K. A. Okoudjou, and F. Philipp.
Preconditioning of Frames.
Wavelets and Sparsity XV (San Diego, CA, 2013), G88580-1-G88580-8, SPIE Proc. 8858, SPIE, Bellingham, WA, 2013.
Download (PDF, 98,7 KB)
37
G.Kutyniok.
Fusion Frames and Wireless Sensor Networks.
IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC), to appear.
Download (PDF, 187,6 KB)
36
F. Krahmer, G. Kutyniok, and J. Lemvig.
Spectral properties of dual frames.
10th International Conference on Sampling Theory and Applications (Bremen, Germany, 2013), 493-496, Eurasip, 2013.
Download (PDF, 310,8 KB)
35
H. Boche, M. Guillemard, G. Kutyniok, and F. Philipp.
Signal Analysis with Frame Theory and Persistent Homology.
10th International Conference on Sampling Theory and Applications (Bremen, Germany, 2013), 309-331, Eurasip, 2013.
Download (PDF, 585,1 KB)
34
G. Kutyniok, K. Okoudjou and F. Philipp.
Perfect Preconditioning of Frames by a Diagonal Operator.
10th International Conference on Sampling Theory and Applications (Bremen, Germany, 2013), 85-88, Eurasip, 2013.
Download (PDF, 66,6 KB)
33
H. Lakshman, W.-Q Lim, H. Schwarz, D. Marpe, G. Kutyniok, and T. Wiegand.
Image Interpolation using Shearlet Based Sparsity Priors.
ICIP'13 (Melbourne, Australia, 2013), Proc., 655-659, IEEE, 2013.
Download (PDF, 708,7 KB)
32
B. G. Bodmann, G. Kutyniok, and X. Zhuang.
Coarse Quantization with the Fast Digital Shearlet Transform.
Wavelets and Sparsity XIV (San Diego, CA, 2011), 8138OZ-1 - 8138OZ-10, SPIE Proc. 8138, SPIE, Bellingham, WA, 2011.
Download (PDF, 312,7 KB)
31
E. J. King, G. Kutyniok, and X. Zhuang.
Analysis of Data Separation and Recovery Problems using Clustered Sparsity.
Wavelets and Sparsity XIV (San Diego, CA, 2011), 813818-1 - 813818-11, SPIE Proc. 8138, SPIE, Bellingham, WA, 2011.
Download (PDF, 130,0 KB)
30
G. Kutyniok and Wang-Q Lim.
Image Separation using Wavelets and Shearlets.
Curves and Surfaces (Avignon, France, 2010), Lecture Notes in Computer Science 6920, 416-430, Springer, 2012.
Download (PDF, 723,8 KB)
29
G. Kutyniok, J. Lemvig, and W.-Q Lim.
Optimally Sparse Approximations of Multivariate Functions Using Compactly Supported Shearlet Frames.
SampTA'11 (Singapore, 2011), Proc., 2011.
Download (PDF, 235,6 KB)
28
B. G. Bodmann, P. G. Casazza, and G. Kutyniok.
A Quantitative Notion of Redundancy and its Applications.
SampTA'11 (Singapore, 2011), Proc., 2011.
Download (PDF, 70,4 KB)
27
P. G. Casazza, A. Heinecke, and G. Kutyniok.
Optimally Sparse Fusion Frames: Existence and Construction.
SampTA'11 (Singapore, 2011), Proc., 2011
Download (PDF, 187,0 KB)
26
D. L. Donoho, G. Kutyniok, M. Shahram, and X. Zhuang.
A Rational Design of a Digital Shearlet Transform.
SampTA'11 (Singapore, 2011), Proc., 2011.
Download (PDF, 207,8 KB)
25
G. Kutyniok, J. Lemvig, and W.-Q Lim.
Compactly Supported Shearlets.
Approximation Theory XIII (San Antonio, TX, 2010), Springer Proc. Math. 13, 163-186, Springer, 2012.
Download (PDF, 1,8 MB)
24
G. Kutyniok and W.-Q Lim.
Shearlets on Bounded Domains.
Approximation Theory XIII (San Antonio, TX, 2010), Springer Proc. Math. 13 187-206, Springer, 2012.
Download (PDF, 186,9 KB)
23
B. Boufounos, G. Kutyniok, and H. Rauhut.
Average Case Analysis of Sparse Recovery from Combined Fusion Frame Measurements.
43nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University, NJ, 2010), 1 - 6, 2010.
Download (PDF, 103,8 KB)
22
B. G. Bodmann, P. G. Casazza, and G. Kutyniok.
Upper and Lower Redundancy of Finite Frames.
43nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University, NJ, 2010), 1 - 6, 2010.
Download (PDF, 89,0 KB)
21
P. Boufounos, G. Kutyniok, and H. Rauhut.
Compressed Sensing for Fusion Frames.
Wavelets XIII (San Diego, CA, 2009), 744614-1 - 744614-11, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009.
Download (PDF, 179,9 KB)
20
B. G. Bodmann and G. Kutyniok.
Erasure-Proof Transmissions: Fusion Frames meet Coding Theory.
Wavelets XIII (San Diego, CA, 2009), 74460P-1 - 74460P-11, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009.
Download (PDF, 189,1 KB)
19
B. G. Bodmann, P. G. Casazza, G. Kutyniok, and S. Senger.
A Low Complexity Replacement Scheme for Erased Frame Coefficients.
Wavelets XIII (San Diego, CA, 2009), 74460O-1 - 74460O-10, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009.
Download (PDF, 171,9 KB)
18
G. Kutyniok, M. Shahram, and D. L. Donoho.
Development of a Digital Shearlet Transform Based on Pseudo-Polar FFT.
Wavelets XIII (San Diego, CA, 2009), 74460B-1 - 74460B-13, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009.
Download (PDF, 358,9 KB)
17
R. Calderbank, P. G. Casazza, A. Heinecke, G. Kutyniok, and A. Pezeshki.
Constructing Fusion Frames with Desired Parameters.
Wavelets XIII (San Diego, CA, 2009), 744612-1 - 744612-10, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009.
Download (PDF, 153,4 KB)
16
B. G. Bodmann, G. Kutyniok and A. Pezeshki.
Erasure-Proof Coding with Fusion Frames.
SampTA'09 (Marseille, France, 2009), Proc., 2009.
Download (PDF, 67,9 KB)
15
B. G. Bodmann, P. G. Casazza, G. Kutyniok, and S. Senger.
Error Correction for Erasures of Quantized Frame Coefficients.
SampTA'09 (Marseille, France, 2009), Proc., 2009.
Download (PDF, 50,4 KB)
14
D. L. Donoho and G. Kutyniok.
Geometric Separation using a Wavelet-Shearlet Dictionary.
SampTA'09 (Marseille, France, 2009), Proc., 2009.
Download (PDF, 125,8 KB)
13
A. Pezeshki, G. Kutyniok, and A. R. Calderbank.
Fusion frames and Robust Dimension Reduction.
42nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University, NJ, 2008), 264-268.
Download (PDF, 71,8 KB)
12
D. L. Donoho and G. Kutyniok.
Analysis of l_1 Minimization in the Geometric Separation Problem.
42nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University, NJ, 2008), 274-279.
Download (PDF, 164,2 KB)
11
P. G. Casazza and G. Kutyniok.
Robustness of Fusion Frames under Erasures of Subspaces and of Local Frame Vectors.
Radon transforms, geometry, and wavelets (New Orleans, LA, 2006), 149-160, Contemp. Math. 464, Amer. Math. Soc., Providence, RI, 2008.
Download (PDF, 211,2 KB)
10
C. Heil and G. Kutyniok.
Convolution and Wiener Amalgam Spaces on the Affine Group.
Recent Advances in Computational Science (Beijing, China, 2005), World Scientific, Singapore (2008), 209--217.
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9
G. Kutyniok and T. Sauer.
From Wavelets to Shearlets and back again.
Approximation Theory XII (San Antonio, TX, 2007), Nashboro Press, Nashville, TN (2008), 201-209.
Download (PDF, 344,1 KB)
8
P. G. Casazza, G. Kutyniok, S. Li, and C. J. Rozell.
Modeling Sensor Networks with Fusion Frames.
Wavelets XII (San Diego, CA, 2007), 67011M-1 - 67011M-11, SPIE Proc. 6701, SPIE, Bellingham, WA, 2007.
Download (PDF, 179,8 KB)
7
K. Guo, G. Kutyniok, and D. Labate.
Sparse Multidimensional Representations using Anisotropic Dilation and Shear Operators.
Wavelets and Splines (Athens, GA, 2005), Nashboro Press, Nashville, TN (2006), 189-201.
Download (PDF, 163,2 KB)
6
D. Labate, W-Q. Lim, G. Kutyniok, and G. Weiss.
Sparse multidimensional representation using shearlets.
Wavelets XI (San Diego, CA, 2005), 254-262, SPIE Proc. 5914, SPIE, Bellingham, WA, 2005.
Download (PDF, 150,1 KB)
5
G. Ascensi and G. Kutyniok.
Accumulative density.
Wavelets XI (San Diego, CA, 2005), 188-195, SPIE Proc. 5914, SPIE, Bellingham, WA, 2005.
Download (PDF, 121,0 KB)
4
P.G. Casazza, G. Kutyniok, and M.C. Lammers.
Duality principles, localization of frames, and Gabor theory.
Wavelets XI (San Diego, CA, 2005), 389-398, SPIE Proc. 5914, SPIE, Bellingham, WA, 2005.
Download (PDF, 132,8 KB)
3
R. Balan, P.G. Casazza, D. Edidin, and G. Kutyniok.
Decompositions of frames and a new frame identity.
Wavelets XI (San Diego, CA, 2005), 379-388, SPIE Proc. 5914, SPIE, Bellingham, WA, 2005.
Download (PDF, 120,2 KB)
2
P.G. Casazza and G. Kutyniok.
Frames of subspaces.
Wavelets, Frames and Operator Theory (College Park, MD, 2003), 87-113, Contemp. Math. 345, Amer. Math. Soc., Providence, RI, 2004.
Download (PDF, 322,8 KB)
1
G. Kutyniok.
Computation of the density of weighted wavelet systems.
Wavelets X (San Diego, CA, 2003), 393-404, SPIE Proc. 5207, SPIE, Bellingham, WA, 2003.
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Andere (eingeladene) Publikationen

Andere (eingeladene) Publikationen (Buchkapitel, etc.)
Nr.
Titel
31
G. Kutyniok.
Mit Mathematik die Datenflut beherrschen?
Alles Mathematik. Von Pythagoras zum CD-Player (M. Aigner, E. Behrends, eds.), new edition, to appear.
30
G. Kutyniok, M. März, and J. Ma.
Mathematical Methods in Medical Image Processing.
Quantification of Biophysical Parameters by Medical Imaging (I. Sack and T. Schäffter, eds.), Springer, 2017.
29
A. Flinth, A. Hashemi, and G. Kutyniok.
Compressed Sensing: From Theory to Praxis.

Compressive Sensing of Earth Observations (C.H. Chen, ed.), Taylor and Francis, 2017.
28
G. Kutyniok, W.-Q Lim, and G. Steidl.
Shearlets: Theory and Applications.
GAMM-Mitteilungen 37 (2014), 259-280.
Download (PDF, 1,2 MB)
27
F. Aurzada, A. Bley, A. Eisenblätter, H.-F. Geerdes, M. Guillemard, G. Kutyniok, F. Philipp, C. Rack, M. Scheutzow, and A. Werner.
Mathematics for telecommunications.
MATHEON - Mathematics for Key Technologies, 75-89, EMS Publishing House, 2014.
26
G. Kutyniok.
Geometric Multiscale Analysis: From Wavelets to Parabolic Molecules.
Int. Math. Nachrichten 225 (2014), 1-16.
Download (PDF, 188,2 KB)
25
W. Dahmen, C. Huang, G. Kutyniok, W.-Q Lim, C. Schwab, and G. Welper.
Efficient Resolution of Anisotropic Structures.
Extraction of Quantifiable Information from Complex Systems, 25-51, Springer, 2014.
Download (PDF, 462,8 KB)
24
H. Boche, R. Calderbank, G. Kutyniok, and J. Vybiral.
A Survey of Compressed Sensing.
Compressed Sensing and its Applications, 1-40, Birkhäuser Boston, 2015.
Download (PDF, 300,4 KB)
23
G. Kutyniok.
Compressed Sensing.
DMV Mitteilungen 22 (2014), 24-29.
Download (PDF, 669,0 KB)
22
F. Sündermann, S. Lotter, W.Q. Lim, N. Golovyashkina, R. Brandt, and G. Kutyniok.
Shearlet-analysis of cLSM images to extract morphological features of neurons.
Laser Scanning Microscopy and Quantitative Image Analysis of Neuronal Tissue, 293-304, Springer, 2014.
21
P. G. Casazza and G. Kutyniok.
Fusion Frames.
Finite Frames: Theory and Applications, 437-478, Birkhäuser Boston, 2012.
Download (PDF, 332,2 KB)
20
P. G. Casazza, G. Kutyniok, and F. Philipp.
Introduction to Finite Frame Theory.
Finite Frames: Theory and Applications, 1-53, Birkhäuser Boston, 2012.
Download (PDF, 289,9 KB)
19
G. Kutyniok.
Theory and Applications of Compressed Sensing.
GAMM Mitteilungen 36 (2013), 79-101.
Download (PDF, 811,4 KB)
18
G. Kutyniok and D. Labate.
Introduction to Shearlets.
Shearlets: Multiscale Analysis for Multivariate Data, 1-38, Birkhäuser Boston, 2012.
Download (PDF, 401,7 KB)
17
G. Kutyniok, J. Lemvig, and W.-Q Lim.
Shearlets and Optimally Sparse Approximations.
Shearlets: Multiscale Analysis for Multivariate Data, 145-198, Birkhäuser Boston, 2012.
Download (PDF, 952,8 KB)
16
G. Kutyniok, W.-Q Lim, and X. Zhuang.
Digital Shearlet Transforms.
Shearlets: Multiscale Analysis for Multivariate Data, 239-282, Birkhäuser Boston, 2012.
Download (PDF, 690,0 KB)
15
M. Davenport, M. Duarte, Y. Eldar, and G. Kutyniok.
Introduction to Compressed Sensing.
Compressed Sensing: Theory and Applications, 1-64, Cambridge University Press, 2012.
Download (PDF, 819,1 KB)
14
G. Kutyniok.
Data Separation by Sparse Representations.
Compressed Sensing: Theory and Applications, 485-514, Cambridge University Press, 2012.
Download (PDF, 937,4 KB)
13
G. Kutyniok, J. Lemvig, and W.-Q Lim.
Shearlets: Sparse approximation and dictionary learning.
Oberwolfach Reports 9 (2012), 1909-1910.
12
I. Daubechies, G. Kutyniok, H. Rauhut, and T. Strohmer (as Eds.).
Applied Harmonic Analysis and Sparse Approximation.
Oberwolfach Reports 9 (2012), 1759-1843.
11
S. Dahlke, M. Elad Y. Eldar, G. Kutyniok, and G. Teschke (as Eds.).
Sparse Representations and Efficient Sensing of Data.
Dagstuhl Seminar Proceedings 11051, 2011.
10
P. Jorgensen, G. Kutyniok, G. Olafsson, and S. Silvestrov (as Eds.).
Operator Algebras and Representation Theory: Frames, Wavelets and Fractals.
Oberwolfach Reports 8 (2011), 901–978.
9
G. Kutyniok and D. Labate (as Eds.)
Mini-Workshop: Shearlets.
Oberwolfach Reports 7 (2010), 2573–2611.
8
G. Kutyniok and Demetrio Labate.
Shearlets: The First Five Years.
Oberwolfach Report 44 (2010), 1-5.
7
G. Kutyniok.
What is Applied Harmonic Analysis?.
DMV Mitteilungen 16 (2008), 78-84.
Download (PDF, 195,9 KB)
6
S. Dahlke, I. Daubechies, M. Elad, G. Kutyniok, and G. Teschke (as Eds.).
Structured Decompositions and Efficient Algorithms.
Dagstuhl Seminar Proceedings 08492, 2008.
5
G. Kutyniok.
Shearlets: A Wavelet-Based Approach to the Detection of Directional Features.
Oberwolfach Report 36 (2007), 35-38.
4
G. Kutyniok.
Geometry of the parameters of wave packet frames.
Oberwolfach Report 10 (2004), 513-515.
3
G. Kutyniok and G. Olafsson.
Eds., Mini-Workshop: Wavelets and Frames.
Report No. 10/2004, Mathematisches Forschungsinstitut Oberwolfach.
2
G. Kutyniok.
Time-frequency analysis on locally compact groups.
PhD thesis, Universität Paderborn (2000).
Download
1
G. Kutyniok.
Konstruktion von stetigen und diskreten Wavelet-Transformationen auf der n-dimensionalen Sphäre mittels quadrat-integrierbarer Darstellungen.
Diploma thesis, Universität Paderborn (1996).
Download (PDF, 625,2 KB)

Bücher

Lupe

4. H. Boche, R. Calderbank, G. Kutyniok        and J. Vybiral.
    Compressed Sensing and its                Applications: MATHEON                        Workshop 2013
    Birkhäuser Boston, 2015.

     Link zu Amazon

Lupe

4. P. Casazza and G. Kutyniok.
    Finite Frames: Theory and                   Applications
    Birkhäuser Boston, 2012.

     Link zu Amazon

Lupe

3. G. Kutyniok and D. Labate.
    Shearlets: Multiscale Analysis            for Multivariate Data
    Birkhäuser Boston, 2012.

     Link zu Amazon

Lupe

2. Y. Eldar and G. Kutyniok.
    Compressed Sensing:                           Theory and Applications
    Cambridge University Press, 2012.

     Link zu Amazon

Lupe

1. G. Kutyniok.
    Affine density in wavelet analysis.
    Lecture Notes in Mathematics 1914 , Springer-Verlag, Berlin,       2007, 142 + xii pp.
    ISBN: 978-3-540-72916-7

    Link zu Amazon

  

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