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Documents authored by Teschke, Gerd

Document
DOI: 10.4230/DagRep.1.1.108
Sparse Representations and Efficient Sensing of Data (Dagstuhl Seminar 11051)

Authors: Stephan Dahlke, Michael Elad, Yonina Eldar, Gitta Kutyniok, and Gerd Teschke

Published in: Dagstuhl Reports, Volume 1, Issue 1 (2011)

Abstract
This report documents the program and the outcomes of Dagstuhl Seminar 11051 ``Sparse Representations and Efficient Sensing of Data''. The scope of the seminar was twofold. First, we wanted to elaborate the state of the art in the field of sparse data representation and corresponding efficient data sensing methods. Second, we planned to explore and analyze the impact of methods in computational science disciplines that serve these fields, and the possible resources allocated for industrial applications.
Cite as

Stephan Dahlke, Michael Elad, Yonina Eldar, Gitta Kutyniok, and Gerd Teschke. Sparse Representations and Efficient Sensing of Data (Dagstuhl Seminar 11051). In Dagstuhl Reports, Volume 1, Issue 1, pp. 108-127, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@Article{dahlke_et_al:DagRep.1.1.108,
  author =	{Dahlke, Stephan and Elad, Michael and Eldar, Yonina and Kutyniok, Gitta and Teschke, Gerd},
  title =	{{Sparse Representations and Efficient Sensing of Data (Dagstuhl Seminar 11051)}},
  pages =	{108--127},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2011},
  volume =	{1},
  number =	{1},
  editor =	{Dahlke, Stephan and Elad, Michael and Eldar, Yonina and Kutyniok, Gitta and Teschke, Gerd},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.1.1.108},
  URN =		{urn:nbn:de:0030-drops-31507},
  doi =		{10.4230/DagRep.1.1.108},
  annote =	{Keywords: Efficient signal sensing schemes, sparse signal representations, efficient signal reconstruction algorithms, impact of the methods in neighboring research fields and applications}
}
Document
DOI: 10.4230/DagSemProc.08492.9
The Continuous Shearlet Transform in Arbitrary Space Dimensions

Authors: Stephan Dahlke, Gabriele Steidl, and Gerd Teschke

Published in: Dagstuhl Seminar Proceedings, Volume 8492, Structured Decompositions and Efficient Algorithms (2009)

Abstract
This note is concerned with the generalization of the continuous shearlet transform to higher dimensions. Similar to the two-dimensional case, our approach is based on translations, anisotropic dilations and specific shear matrices. We show that the associated integral transform again originates from a square-integrable representation of a specific group, the full $n$-variate shearlet group. Moreover, we verify that by applying the coorbit theory, canonical scales of smoothness spaces and associated Banach frames can be derived. We also indicate how our transform can be used to characterize singularities in signals.
Cite as

Stephan Dahlke, Gabriele Steidl, and Gerd Teschke. The Continuous Shearlet Transform in Arbitrary Space Dimensions. In Structured Decompositions and Efficient Algorithms. Dagstuhl Seminar Proceedings, Volume 8492, pp. 1-7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{dahlke_et_al:DagSemProc.08492.9,
  author =	{Dahlke, Stephan and Steidl, Gabriele and Teschke, Gerd},
  title =	{{The Continuous Shearlet  Transform in Arbitrary Space Dimensions}},
  booktitle =	{Structured Decompositions and Efficient Algorithms},
  pages =	{1--7},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{8492},
  editor =	{Stephan Dahlke and Ingrid Daubechies and Michal Elad and Gitta Kutyniok and Gerd Teschke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08492.9},
  URN =		{urn:nbn:de:0030-drops-19216},
  doi =		{10.4230/DagSemProc.08492.9},
  annote =	{Keywords: }
}
Document
DOI: 10.4230/DagSemProc.08492.1
08492 Abstracts Collection – Structured Decompositions and Efficient Algorithms

Authors: Stephan Dahlke, Ingrid Daubechies, Michael Elad, Gitta Kutyniok, and Gerd Teschke

Published in: Dagstuhl Seminar Proceedings, Volume 8492, Structured Decompositions and Efficient Algorithms (2009)

Abstract
From 30.11. to 05.12.2008, the Dagstuhl Seminar 08492 ``Structured Decompositions and Efficient Algorithms '' was held in Schloss Dagstuhl~--~Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Stephan Dahlke, Ingrid Daubechies, Michael Elad, Gitta Kutyniok, and Gerd Teschke. 08492 Abstracts Collection – Structured Decompositions and Efficient Algorithms. In Structured Decompositions and Efficient Algorithms. Dagstuhl Seminar Proceedings, Volume 8492, pp. 1-18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{dahlke_et_al:DagSemProc.08492.1,
  author =	{Dahlke, Stephan and Daubechies, Ingrid and Elad, Michael and Kutyniok, Gitta and Teschke, Gerd},
  title =	{{08492 Abstracts Collection – Structured Decompositions and Efficient Algorithms}},
  booktitle =	{Structured Decompositions and Efficient Algorithms},
  pages =	{1--18},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{8492},
  editor =	{Stephan Dahlke and Ingrid Daubechies and Michal Elad and Gitta Kutyniok and Gerd Teschke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08492.1},
  URN =		{urn:nbn:de:0030-drops-18860},
  doi =		{10.4230/DagSemProc.08492.1},
  annote =	{Keywords: Sparse signal representation, optimal signal reconstruction, approximation, compression}
}
Document
DOI: 10.4230/DagSemProc.08492.2
08492 Executive Summary – Structured Decompositions and Efficient Algorithms

Authors: Stephan Dahlke, Ingrid Daubechies, Michael Elad, Gitta Kutyniok, and Gerd Teschke

Published in: Dagstuhl Seminar Proceedings, Volume 8492, Structured Decompositions and Efficient Algorithms (2009)

Abstract
New emerging technologies such as high-precision sensors or new MRI machines drive us towards a challenging quest for new, more effective, and more daring mathematical models and algorithms. Therefore, in the last few years researchers have started to investigate different methods to efficiently represent or extract relevant information from complex, high dimensional and/or multimodal data. Efficiently in this context means a representation that is linked to the features or characteristics of interest, thereby typically providing a sparse expansion of such. Besides the construction of new and advanced ansatz systems the central question is how to design algorithms that are able to treat complex and high dimensional data and that efficiently perform a suitable approximation of the signal. One of the main challenges is to design new sparse approximation algorithms that would ideally combine, with an adjustable tradeoff, two properties: a provably good `quality' of the resulting decomposition under mild assumptions on the analyzed sparse signal, and numerically efficient design.
Cite as

Stephan Dahlke, Ingrid Daubechies, Michael Elad, Gitta Kutyniok, and Gerd Teschke. 08492 Executive Summary – Structured Decompositions and Efficient Algorithms. In Structured Decompositions and Efficient Algorithms. Dagstuhl Seminar Proceedings, Volume 8492, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{dahlke_et_al:DagSemProc.08492.2,
  author =	{Dahlke, Stephan and Daubechies, Ingrid and Elad, Michael and Kutyniok, Gitta and Teschke, Gerd},
  title =	{{08492 Executive Summary – Structured Decompositions and Efficient Algorithms }},
  booktitle =	{Structured Decompositions and Efficient Algorithms},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{8492},
  editor =	{Stephan Dahlke and Ingrid Daubechies and Michal Elad and Gitta Kutyniok and Gerd Teschke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08492.2},
  URN =		{urn:nbn:de:0030-drops-18851},
  doi =		{10.4230/DagSemProc.08492.2},
  annote =	{Keywords: Sparse signal representation, optimal signal reconstruction, approximation, compression}
}
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