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Publications Influence

A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data

TLDR

107 7

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 5- PDF

Regularization by fractional filter methods and data smoothing

This paper is concerned with the regularization of linear ill-posed problems by a combination of data smoothing and fractional filter methods. For the data smoothing, a wavelet shrinkage denoising is… Expand

45 5- PDF

Convergence analysis of a two-point gradient method for nonlinear ill-posed problems

- Simon Hubmer, R. Ramlau
- Mathematics
- 1 August 2017

We perform a convergence analysis of a two-point gradient method which is based on Landweber iteration and on Nesterov's acceleration scheme. Additionally, we show the usefulness of this method via… Expand

23 5

An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection

- P. Maass, S. Pereverzyev, R. Ramlau, S. Solodky
- Mathematics, Computer Science
- Numerische Mathematik
- 2001

TLDR

36 4

Regularization of ill-posed Mumford-Shah models with perimeter penalization

The problems of existence, stability and convergence of minimizers of a Mumford–Shah functional for the simultaneous reconstruction and segmentation of a distributed parameter in an ill-posed… Expand

21 4

MICADO: first light imager for the E-ELT

- R. Davies, J. Schubert, +80 authors G. Zins
- Engineering, Physics
- Astronomical Telescopes + Instrumentation
- 7 July 2016

MICADO will equip the E-ELT with a first light capability for diffraction limited imaging at near-infrared wavelengths. The instrument’s observing modes focus on various flavours of imaging,… Expand

53 3- PDF

MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS

- R. Ramlau
- Mathematics
- 5 January 2002

ABSTRACT We consider Morozov's discrepancy principle for Tikhonov-regularization of nonlinear operator equations. It is shown that minor restrictions to the operator F and the solution x* of the… Expand

70 3

TIGRA—an iterative algorithm for regularizing nonlinear ill-posed problems

- R. Ramlau
- Mathematics
- 1 April 2003

We report on a new iterative method for regularizing a nonlinear operator equation in Hilbert spaces. The proposed TIGRA algorithm is a combination of Tikhonov regularization and a gradient method… Expand

72 3

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