Publications  (ordered by paper finalization)

79.
S. Dahlke, F. de Mari, E. de Vito, S. Häuser, G. Steidl and G. Teschke, Different faces of the shearlet transform, in preparation, 2014.




78.
S. Dahlke, F. De Mari, E. De Vito, D. Labate, G. Steidl, G. Teschke, and S. Vigogna,  Coorbit spaces with voice in a Frechet space, (submitted 2014)  arXiv:1402.3917
78.pdf



77.
E. Herrholz, D. Lorenz, G. Teschke and D. Trede, Sparsity and Compressed Sensing in Inverse Problems, (to appear as book chapter, 2014)
77.pdf



76.
B. Adcock, A. C. Hansen, B. Roman and G. Teschke, Generalized sampling: stable reconstructions, inverse
problems and compressed sensing over the continuum, In Advances in Imaging and Electron Physics (Vol. 182), 187–279, 2014.

76.pdf



75. B. Adcock, A. C. Hansen, E. Herrholz and G. Teschke, Generalized Sampling: Extension to Frames and Inverse and Ill-Posed Problems, Inverse Problems, 29, 015008, 2013.
75.pdf



74. B. Adcock, A. C. Hansen, E. Herrholz and G. Teschke, Generalized Sampling, infinite-dimensional Compressed Sensing, and semi-random Sampling for Asymptotically Incoherent Dictionaries, (submitted)
74.pdf



73. S. Dahlke, G. Steidl and G. Teschke, Multivariate Shearlet Transform, Shearlet Coorbit Spaces and their Structural Properties, In Shearlets, Multiscale Analysis for Multivariate Data (G. Kutyniok, D. Labate Eds.), Springer, 2012.
73.pdf



72. S. Dahlke, S. Häuser, G. Steidl and G. Teschke, Shearlet Coorbit Spaces: Traces and Embeddings in Higher DimensionsMonatshefte der Mathematik 169 (2013), 15-32, DOI 10.1007/s00605-012-0408-7. 72.pdf



71.
S. Dahlke, S. Häuser and G. Teschke, Coorbit Space Theory for the Toeplitz Shearlet Transform, accepted for publication in Journal of Mathematical Analysis and Applications, 2011.
71.pdf



70.
S. Dahlke, G. Steidl and G. Teschke, Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings, Journal of Fourier Analysis and Applications 17(6), 1232-1255, 2011.
70.pdf




69.
E. Herrholz and G. Teschke, Compressive sensing principles and iterative sparse recovery for inverse and ill-posed problems, Inverse Problems 26, 125012, 2010. 69.pdf




68.
R. Ramlau and G. Teschke,  Sparse Recovery in Inverse Problems, in: Theoretical Foundations and Numerical Methods for Sparse Recovery, M. Fornasier (Ed), 2010.
68.pdf




67.
P. Cerejeiras, M. Ferreira, U. Kähler, and G. Teschke, Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles, Applied and Computational Harmonic Analysis 31(3), 325-345, 2011.
67.pdf




66.
G. Teschke and V. Lehmann, Statistical Significance of Gabor Frames Expansions - Simple Filtering Principles for Radar Wind Profiler Data, ECMI 2008, 2010.
66.pdf




65.

M. Rätsch, C. Blumer, T. Vetter, and G. Teschke. Efficient Object Tracking by Condentional and Cascaded Image Sensing, Computer Standards & Interfaces 34(6): 549-557, 2012.






64.
M. Rätsch, C. Blumer, G. Teschke, and T. Vetter. 3D Cascaded Condensation Tracking for Multiple Objects, Signal Processing, Pattern Recognition and Application, SPPRA’10, pp 361-368. Innsbruck, Austria. 2010. 64.pdf




63.
M. Rätsch, C. Blumer, G. Teschke, and T. Vetter. Coarse-to-fine Particle Filters for Multi-Object   Human Computer Interaction, IEEE Intelligent Data Acquisition and Advanced Computing Systems: IDAACS'09, pp 440-445, Rende, Italy. 2009. 63.pdf




62.
G. Teschke and C. Borries, Accelerated Projected Steepest Descent Method for Nonlinear Inverse Problems with Sparsity Constraints, Inverse Problems, 26, 025007 (23pp), 2010.
62.pdf




61.
S. Dahlke and G. Teschke, The continuous shearlet transform in higher dimensions: Variations of a theme, in Group Theory: Classes, Representations and Connections, and Applications (F. Columbus, Ed.), Nova Publishers, 2009.
61.pdf




60.
S. Dahlke, I. Daubechies, M. Elad, G. Kutyniok, and G. Teschke (as Eds.). Structured Decompositions and Effcient Algorithms, Dagstuhl Seminar Proceedings 08492, 2008.





59.
G. Teschke and V. Lehmann, Statistical Signifcance of Gabor Frames Expansions - Simple Filtering Principles for Radar Wind Profiler Data, Proc. ECMI London, 2008.
59.pdf




58.
V. Lehmann and G. Teschke, Radar wind profiler signal characteristics during bird migration episodes, Proc. WM-TECO St. Petersburg, 2008.
58.pdf




57.
R. Ramlau, G. Teschke and M. Zhariy, A Compressive Landweber Iteration for Solving Ill-posed Inverse Problems, Inverse Problems, 24(6), 065013, 2008.
57.pdf




56.
S. Dahlke, G. Steidl and G. Teschke, The Continuous Shearlet Transform in Arbitrary Space Dimensions, Journal of Fourier Analysis and Applications, 16, 340-354, 2010. 56.pdf




55.
S. Dahlke, G. Teschke and K. Stingl, Coorbit theory, multi-alpha-modulation frames and the concept of joint sparsity for medical multi-channel data analysis, EURASIP J. Adv. Signal Proc. ID 471601, 2008.
55.pdf




54.
G. Teschke, J. Reichardt, D. Engelbart,Wavelet algorithm for the estimation of mixing layer heights. Proc. ILRC Delft, 2008.
54.pdf




53.
M. Fornasier, R. Ramlau and G. Teschke, The application of joint sparsity and total variation minimization algorithms in a real-life art restoration problem, Advances in Computational Mathematics, 31(1-3), 157-184, 2009.
53_a.pdf




52.
S.Dahlke, P. Maass, G. Teschke et. al., Multiscale Approximation in: "Mathematical Methods in Time Series Analysis and Digital Image Processing", (R. Dahlhaus, J. Kurths, P. Maass und J. Timmer, Eds.), Springer Series: Understanding Complex Systems, 75-109, 2008.
53.pdf




51.
I. Daubechies, G. Teschke and L. Vese, On some iterative concepts for image restoration, (invited book chapter) Advances in Imaging and Electron Physics, 150, 1-51, 2008.
52.pdf




50. G. Teschke and R. Ramlau, An Iterative Algorithm for Nonlinear Inverse Problems with Joint Sparsity Constraints in Vector Valued Regimes and an Application to Color Image Inpainting, Inverse Problems,  23, 1851-1870, 2007.
49.pdf




49. S. Dahlke, G. Kutyniok, G. Steidl and G. Teschke, Shearlet coorbit spaces and associated Banach frames, Applied and Computational Harmonic Analysis, 27(2), 195-214, 2009 48.pdf




48.
V. Lehmann and G. Teschke. Advanced Intermittent Clutter Filtering for Radar Wind Profiler: Signal Separation through a Gabor Frame Expansion and its Statistics, Annales Geophysicae, 26(4), 759-783, 2008. 47.pdf




47.
S. Dahlke, D. Lorenz, P. Maass, C. Sagiv and G. Teschke, The Canonical States Associated With Quotients of the Affine Weyl-Heisenberg Group, Journal of Applied Functional Analysis 3(2), 215-232, 2008.
46_a.pdf




46.
S. Dahlke, G. Kutyniok, P. Maass, C. Sagiv, H.-G. Stark and G. Teschke, The Uncertainty Principle Associated with the Continuous Shearlet Transform, Journal of Wavelets, Multiresolution and Information Processing 6(2), 157-181, 2008.
46.pdf




45.
S. Dahlke, G. Steidl and G. Teschke. Frames and Coorbit Theory on Homogeneous Spaces with a Special Guidance on the Sphere,  Special Issue: Analysis on the Sphere, Journal of Fourier Analysis and Applications,  13(4), 387-403, 2007.
45.pdf




44.
G. Teschke. Frames, Sparsity, and Nonlinear Inverse Problems, Oberwolfach Reports, 2006.
44.pdf




43.
G. Teschke and U. Görsdorf, P. Körner and D. Trede. A New Approach for Target Classification in Ka-Band Radar Data, Proc. ERAD Barcelona, 2006.
43.pdf




42.
N. Faustino, U. Kaehler,  and G. Teschke. A Wavelet Galerkin Scheme for the Navier Stokes Equations, under review, 2006.
42.pdf




41.
S. Dahlke, D. Lorenz, P. Maass, C. Sagiv and G. Teschke. The Canonical Coherent states associated with Quotients of the Affine Weyl--Heisenberg Group, Journal of Applied Functional Analysis 3(2), 215-232, 2008.
41.pdf




40.
M. Rätsch, G. Teschke, S. Romdhani and T. Vetter. Wavelet Frame Accelerated Reduced Support Vector Machine, IEEE Transactions on Image Processing, Vol. 17 No. 12, pp 2456-2464, Dec. 2008..
40.pdf




39.
V. Lehmann and G. Teschke. A new intermittent clutter filtering algorithm for radar wind profiler, Proc. ISTP Boulder, 2006.
39.pdf




38.
G. Teschke. A new frame-based statistical strategy for bird migration clutter removal in wind profiler radar data, preprint, 2006.
38.pdf.gz




37.
I. Daubechies, G. Teschke and L. Vese. Iteratively solving linear inverse problems with general convex constraints, Inverse Problems and Imaging, 1(1), 29-46, 2007.
37.pdf




36.
G. Teschke. Multi-Frames in Thresholding Iterations for Nonlinear Operator Equations with Mixed Sparsity Constraints, DFG-SPP-1114 preprint 131, 2005.
36.pdf




35.
R. Ramlau and G. Teschke. A Projection Iteration for Nonlinear Operator Equations with Sparsity Constraints, Numerische Mathematik, 104, 177-203, 2006.
35.pdf




34.
G. Teschke. Multi-Frame Representations in Linear Inverse Problems with Mixed Multi-Constraints, Applied and Computational Harmonic Analysis, 22, 43-60, 2007. 34.ps.gz




33.
G. Teschke. Operator Equations, Mixed  Constraints, Frame-Based Iterative Concepts and Applications, Habilitation thesis, 2005.
33.pdf.gz




32.
Stephan Dahlke, Massimo Fornasier, Holger Rauhut, Gabriele Steidl, Gerd Teschke. Generalized Coorbit Theory, Banach Frames, and the Relations to alpha--Modulation Spaces, Proc. Lond. Math. Soc., 96, 464-506, 2008. 32.pdf




31.
M. Rätsch, S. Romdhani, G. Teschke and T. Vetter. Overcomplete Wavelet Approximation of a Support Vector Machine for Efficient Classification Springer Lecture Notes in Computer Science: Pattern Recognition: 27th DAGM Symposium, Vienna, Austria, August 31 - September 2005, Editors:  Walter G. Kropatsch, Robert Sablatnig, Allan Hanbury, p. 351ff.
31.pdf




30. M. Holschneider and G. Teschke. Existence and Computation of Optimally Localized Coherent SatesJournal of Mathematical Physics, 47, (123503) , 2006. 30.pdf




29.
R. Ramlau and G. Teschke. Tikhonov Replacement Functionals for Iteratively Solving Nonlinear Operator Equations, Inverse Problems, 21, 1571-1592, 2005.
29.pdf




28.
M.J. Soares, G. Teschke and M. Zhariy. A Regularization for Nonlinear Diffusion Equations in a Multiresolution Framework, Mathematical Methods in Applied Sciences, 31(5), 609-629, 2008.
28.pdf




27.
A. Muschinski, V. Lehmann, L. A. Justen and G. Teschke.  Advanced Radar Wind Profiling, Meteorologische Zeitschrift, 14(5), 609-626, 2005. 27.pdf




26.
I. Daubechies and G. Teschke. Variational image restoration by means of wavelets: simultaneous decomposition, deblurring and denoising, Applied and Computational Harmonic Analysis, 19(1), 1-16, 2005.
26.pdf




25.
G. Teschke. Construction of Generalized Uncertainty Principles and Wavelets in Bessel Potential Spaces, International Journal of Wavelets, Multiresolution and Information Processing, 3(2), 189-209, 2005. 25.ps.gz




24.
M.J. Soares, G. Teschke and M. Zhariy. A Wavelet Regularization for Nonlinear Diffusion Equations, Technical Report 04-12, ISSN 1435-7968, 2004. 24.pdf




23.
S. Dahlke, G. Steidl and G. Teschke. Weighted Coorbit Spaces and Banach Frames on Homogeneous Spaces, Journal of Fourier Analysis and Applications, 10(5), 507-539, 2004.
23.pdf




22.
R. Ramlau and G. Teschke. Regularization of Sobolev Embedding Operators and Applications Part I: Fourier and Wavelet based Methods, Sampling Theory in Signal and Image Processing, 3(2), 175-196, 2004.
22.ps.gz




21.
R. Ramlau and G. Teschke. Regularization of Sobolev Embedding Operators and Applications Part II: Data Driven Regularization and Applications, Sampling Theory in Signal and Image Processing, 3(3), 225-246, 2004.
21.ps.gz




20.
S. Dahlke, G. Steidl  and G. Teschke.  Weighted coorbit spaces and Banach frames on homogeneous spaces, Oberwolfach Reports 1(2), 1383-1386, 2004.




19.
S. Dahlke, P. Maass and G. Teschke. Reconstruction of Reflectivity Densities in a  Narrowband Regime, IEEE Transactions on Antennas and Propagation, 52(6), 1603-1606, 2004.
19.ps.gz




18.
P. Cerejeiras, S. Dahlke, M.J. Soares, U. Kaehler, M. Lindemann, G. Teschke, M. Zhariy. A Wavelet Based Numerical  Method for Nonlinear Elliptic Partial Differential Equations, Proc. IKM, June 2004.
18.ps.gz




17.
P. Cerejeiras, S. Dahlke, M.J. Soares, U. Kaehler, M. Lindemann, G. Teschke, M. Zhariy. A Wavelet-Galerkin Scheme for Nonlinear Elliptic Partial Differential Equations, preprint, 2004.
17.ps.gz




16.
S. Dahlke, G. Steidl and G. Teschke. Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to Analyzing Functions on Spheres, Advances in Computational Mathematics, 21(1-2), 147-180, 2004.
16.pdf




15.
I. Daubechies and G. Teschke. Wavelet-Based Image Decompositions by Variational FunctionalsProc. SPIE Vol. 5266, p. 94-105, Wavelet Applications in Industrial Processing; Frederic Truchetet; Ed., Feb. 2004.
15.ps.gz




14.
K. Bredies, D. A. Lorenz, P. Maass and G. Teschke. A partial differential equation for continuous non-linear shrinkage filtering and its application for analyzing MMG data, Proc. SPIE Vol. 5266, p. 84-93, Wavelet Applications in Industrial Processing; Frederic Truchetet; Ed., Feb. 2004.
14.ps.gz




13.
L. A. Justen, G. Teschke and V. Lehmann. Wavelet-based methods for clutter removal from radar wind profiler data, Proc. SPIE Vol. 5266, p. 157-168, Wavelet Applications in Industrial Processing; Frederic Truchetet; Ed., Feb. 2004.
13.ps.gz




12.
L. Cruz Martin and G. Teschke. A new method to reconstruct radar reflectivity and Doppler information, Technical Report 04-01, ISSN 1435-7968, 2004.
12.ps.gz




11.
S. Dahlke, P. Maass and G. Teschke.  Interpolating Scaling Functions with Duals, Journal of Computational Analysis and Applications,  6(1),  19-29, 2004.  11.ps.gz




10.
S. Dahlke, P. Maass and G. Teschke. Reconstruction of Wideband Reflectivity Densities by Wavelet Transforms, Advances in  Computational Mathematics 18(2--4), 189-209, 2003.
10.pdf




9.
S. Dahlke, V. Lehmann and G. Teschke. Applications of Wavelet Methods to the Analysis of Meteorological Radar Data - An Overview, Invited paper in  Arabian Journal of Science and Engineering  28(1C), 3-44, 2003.
9.ps.gz




8.
M. Quante, G. Teschke, M. Zhariy, P. Maass and K. Sassen. Extraction and Analysis of Structural Features in Cloud Radar and Lidar Data Using Wavelet Based Methods, Proc. ERAD Delft, 2002.
8.pdf




7.
V. Lehmann and G. Teschke. Wavelet Based Methods for Improved Wind Profiler Signal Processing, Annales Geophysicae, (19) p825-836, 2001.
7.ps.gz, 7.pdf




6.
P. Maass, M. Ende, D. Kayser, W. Osten and G. Teschke. Continuous Wavelet Methods in Signal Processing, Invited paper in: W. Osten, W. Jüptner 4 th International Workshop on Automatic Processing of Fringe Patterns, Elsevier Verlag, ISBN: 2-84299-318-7, Paris, 2001. 6.ps.gz




5.
S. Dahlke, P. Maass and G. Teschke. Reconstruction of Reflectivity Densities by Wavelet Transforms, Technical Report 01-10, ISSN 1435-7968, 2001. 5.ps.gz




4.
G. Teschke. Waveletkonstruktion über Unschärferelationen und Anwendungen in der Signalanalyse, PhD thesis, Bremen, 2001 (won "Bremer Studienpreis" - Bruker prize).
4.ps.gz
 



3.
P. Maass, G. Teschke, W. Willmann and G. Wollmann. Detection and Classification of Material Attributes - A Practical Application of Wavelet Analysis, IEEE Transactions on Signal Processing,  48(8), 2432-2438, 2000.
3.ps.gz, 3.pdf




2.
V. Lehmann and G. Teschke. Wavelet Based Methods for Improved Wind Profiler Signal Processing, In Proc. MST9-COST76, p455-458, Toulouse 2000.
2.ps.gz, 2.pdf




1.
G. Teschke. Komplexwertige Wavelets und Phaseninformation, Anwendungen in der Signalanalyse, diploma thesis, Potsdam, 1998.
1.ps.gz, 1.pdf