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Publications Influence

Iteratively solving linear inverse problems under general convex constraints

- I. Daubechies, G. Teschke, L. Vese
- Mathematics
- 2007

We consider linear inverse problems where the solution is assumed to fulfill some general homogeneous convex constraint. We develop an algo- rithm that amounts to a projected Landweber iteration and… Expand

128 9- PDF

The Continuous Shearlet Transform in Arbitrary Space Dimensions

- S. Dahlke, G. Steidl, G. Teschke
- Mathematics, Computer Science
- Structured Decompositions and Efficient…
- 18 May 2009

TLDR

96 8- PDF

Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints

- G. Teschke, C. Borries
- Mathematics
- 12 January 2010

This paper is concerned with the construction of an iterative algorithm to solve nonlinear inverse problems with an l1 constraint on x. One extensively studied method to obtain a solution of such an… Expand

97 7- PDF

Shearlet coorbit spaces and associated Banach frames

- S. Dahlke, G. Kutyniok, G. Steidl, G. Teschke
- Mathematics
- 1 September 2009

Abstract In this paper, we study the relationships of the newly developed continuous shearlet transform with the coorbit space theory. It turns out that all the conditions that are needed to apply… Expand

147 7- PDF

A compressive Landweber iteration for solving ill-posed inverse problems

- R. Ramlau, G. Teschke, M. Zhariy
- Mathematics
- 1 December 2008

In this paper we shall be concerned with the construction of an adaptive Landweber iteration for solving linear ill-posed and inverse problems. Classical Landweber iteration schemes provide in… Expand

91 6- PDF

A Tikhonov-based projection iteration for nonlinear Ill-posed problems with sparsity constraints

- R. Ramlau, G. Teschke
- Mathematics, Computer Science
- Numerische Mathematik
- 31 July 2006

TLDR

116 6- PDF

Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum

- B. Adcock, A. Hansen, B. Roman, G. Teschke
- Mathematics, Computer Science
- ArXiv
- 3 October 2013

TLDR

33 4- PDF

Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to Analyzing Functions on Spheres

- S. Dahlke, G. Steidl, G. Teschke
- Mathematics
- 2004

40 4

Multi-frame representations in linear inverse problems with mixed multi-constraints

- G. Teschke
- Mathematics
- 2007

Abstract This paper is concerned with linear inverse problems where the solution is assumed to have a sparse expansion with respect to several bases or frames. We were mainly motivated by the… Expand

67 3

Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces

- S. Dahlke, M. Fornasier, H. Rauhut, G. Steidl, G. Teschke
- Mathematics
- 1 March 2008

This paper is concerned with generalizations and specific applications of the coorbit space theory based on group representations modulo quotients that has been developed quite recently. We show that… Expand

63 3- PDF