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Ronny Ramlau

Research Interests

  • nonlinear inverse problems
  • inverse problems in astronomy
  • regularization methods
  • iterative methods
  • medical imaging
  • mathematical methods in industry

Curriculum Vitae

born in Annaberg-Buchholz, Germany

Study of Mathematics at University of Potsdam, Germany

Diploma in Mathematics, University of Potsdam, Germany

Ph.D. in Mathematics, University of Potsdam, Germany

Habilitation, University of Bremen, Germany

Professor for Industrial Mathematics at JKU Linz, Austria

Scientific Director, RICAM, opens an external URL in a new window, Linz

1994 - 1997

Research Assistant, University of Potsdam, Germany

1998

Visiting Scholar, University of Salt Lake City, USA

1999 - 2005

Research Assistant, University of Bremen, Germany

Sept - Dec 2003

Visiting scholar, Institute for Pure and Applied Mathematics (IPAM), UCLA, USA

Sept 2005 – Aug 2008

Senior Scientist in the group "Inverse Problems" at the RICAM

April – Sept 2014

Acting Director of RICAM, Linz

Oct 2014 – April 2015

Scientific Director of RICAM, opens an external URL in a new window, Linz

May 2015 – July 2016

Managing Scientific Director of RICAM, opens an external URL in a new window, Linz

Aug 2016 – Feb 2019

Scientific Director of RICAM, opens an external URL in a new window, Linz

Aug 2016 – Jan 2017

Visiting Researcher, Kent State University, Ohio, USA

Mar 2019 – Feb 2021

Managing Scientific Director of RICAM, opens an external URL in a new window, Linz

Simon Hubmer, Ekaterina Sherina, Ronny Ramlau, Michael Pircher and Rainer Leitgeb
Subaperture-Based Digital Aberration Correction for Optical Coherence Tomography: A Novel Mathematical Approach
SIAM Journal on Imaging Sciences, Volume 16, Number 4, p. 1857-1885, 2023
doi = 10.1137/22M1543240

Simon Hubmer, Ekaterina Sherina and Ronny Ramlau
Characterizations of Adjoint Sobolev Embedding Operators with Applications in Inverse Problems
Electronic Transactions on Numerical Analysis. Volume 59, pp. 116–144, 2023
DOI: 10.1553/etna_vol59s116

Fabian Hinterer, Magdalena Schneider, Simon Hubmer, Montserrat López-Martínez, Ronny Ramlau, Gerhard Schütz
Localization of fixed dipoles at high precision by accounting for sample drift during illumination
Applied Physics Letters 123, 023703
https://doi.org/10.1063/5.0137834, opens an external URL in a new window, opens an external URL in a new window

Stefan Meingast, Joao Alves, Ronny Ramlau et al.
VISIONS: the VISTA Star Formation Atlas
Astronomy & Astrophysics Vol 673, May 2023
https://doi.org/10.1051/0004-6361/202245771, opens an external URL in a new window, opens an external URL in a new window

Roland Wagner, Jenny Niebsch and Ronny Ramlau
Off-axis point spread function reconstruction for single conjugate adaptive optics
Journal of the Optical Society of America A, Vol 40, Issue 7, p 1382-1391, 2023

opg.optica.org/josaa/abstract.cfm, opens an external URL in a new window, opens an external URL in a new window

A. Alqahtani, R. Ramlau, L. Reichel
Error estimates for Golub-Kahan bidiagonalization with Tikhonov regularization for ill-posed operator equations
Inverse Problems 39 (2), 025002, 2023
doi: 10.1088/1361-6420/aca754

F. Hinterer, S. Hubmer, P. Jethwa, K. M. Soodhalter, G. van de Ven, R. Ramlau
A Projected Nesterov-Kaczmarz Approach to Stellar Population-Kinematic Distribution Reconstruction in Extragalactic Archaeology
SIAM Journal on Imaging Science 16 (1), 2023
doi: 10.1137/22M1503002

S. Hubmer, E. Sherina, R. Ramlau, M. Pircher and R. Leitgeb
Subaperture-based Digital Aberration Correction for OCT: A Novel Mathematical Approach
doi = 10.48550/ARXIV.2301.13822,
https://arxiv.org/abs/2301.13822, opens an external URL in a new window, opens an external URL in a new window
arXiv 2023

J. Niebsch, W. von Bloh, K. Thonicke, R. Ramlau
Accelerated photosynthesis routine in LPJmL4
Geoscientific Model Development 16 (1), p. 17-33, 2023
doi: 10.5194/gmd-16-17-2023

M. Simioni,  R. Wagner, R. Ramlau, Fabio Rossi, et al.
Point spread functrion reconstruction for SOUL+LUCI LBT data,
J. Astron. Telesc. Instrum. Syst. 8(3), 038003 (2022),
doi: 10.1117/1.JATIS.8.3.038003.

R. Wagner, D. Saxenhuber, R. Ramlau and S. Hubmer
Direction dependent point spread function reconstruction for multi-conjugate adaptive optics on giant segmented mirror telescopes
Astronomy and Computing, Volume 40, 100590, 2022
doi = 10.1016/j.ascom.2022.100590

S. Hubmer, R. Ramlau and L. Weissinger
On regularization via frame decompositions with applications in tomography
Inverse Problems 38 (5), 055003, 2022
doi = 10.1088/1361-6420/ac5b86

B. Stadler and R. Ramlau
Performance of an iterative wavelet reconstructor for the Multi-conjugate Adaptive Optics Relay of the Extremely Large Telescope
Journal of Astronomical Telescopes, Instruments and Systems 8 (2), 021503 (2022),
doi: 10.1117/1.JATIS.8.2.021503

F. Hinterer, M. C. Schneider,  S. Hubmer, R. Ramlau et al.
Robust and bias-free localization of individual fixed dipole emitters achieving the Cramer Rao bound for applications in cryo-single molecule localization microscopy
PLOS one 17(2), 2022, pp 1-15
10.1371/journal.pone.0263500

S. Hubmer, A. Ploier, R. Ramlau, P. Fosodeder and S. van Frank
A mathematical approach towards THz tomography for non-destructive imaging
Inverse Problems and Imaging, Vol. 16, No. 1, pp. 68-88, 2022
doi 10.3934/ipi.2021041

Ronny Ramlau and Bernadett Stadler
An augmented wavelet reconstructor for atmospheric tomography
Electronic Transactions on Numerical Analysis (ETNA) 54 (2021), pp. 256-275
doi: 10.1553/etna_vol54s256

R. Ramlau, K. Soodhalter, V. Hutterer
Subspace Recycling-Based Regularization Methods
SIAM Journal on Matrix Analysis and Applications, Vol. 42, No. 4, pp. 1480-1505, October 2021
doi 10.1137/20M1379617

E. Brunner, J. Shatokhina, R. Ramlau et al.
Retinal adaptive optics imaging with a pyramid wavefront sensor
Biomedical Optic Express, Vol. 12, No. 10, October 2021

doi.org/10.1364/BOE.438915, opens an external URL in a new window, opens an external URL in a new window

B. Stadler, R. Biasi, M. Manetti and R. Ramlau
Parallel Implementation of an iterative solver for atmospheric tomography
in: Proceeding of the 21. International Conference on Computational Science and its Applications (ICCSA, 13.-16.9. 2021) , p. 123 - 132, 2021,
doi: 10.1109/ICCSA54496.2021.00026

P. Fosodeder, S. Hubmer, A. Ploier, R. Ramlau, S. van Frank, Ch. Rankl
Phase-contrast THz-CT for non-destructive testing
Optic Express, Vol. 29 (10), p. 15711 - 15723, 2021
https://doi.org/10.1364/OE.422961, opens an external URL in a new window, opens an external URL in a new window

R. Ramlau, J. Niebsch
Tomographic Reconstruction for Single Conjugate Adaptive Optics, in:
B. Kaltenbacher, Th. Schuster, A. Wald:
Time-dependent Problems in Imaging and Parameter Identification, p. 303 -322
Springer 2021, https://doi.org/10.1007/978-3-030-57784-1, opens an external URL in a new window, opens an external URL in a new window

D. Gerth, R. Ramlau
Estimating solution smoothness and date noise with Tikhonov regularization
Numerical Functional Analysis and Optimization
Ahead-of-print, 1-28, Taylor & Francis 2021
doi 10.1080/01630563.2021.2007948

R. Ramlau, L. Dykes, L. Reichel, K. Soodhalter, R. Wagner
Lanczos-based fast blind deconvolution methods
Journal of Computational and Applied Mathematics, Vol. 382,  15 January 2021, 113067
https://doi.org/10.1016/j.cam.2020.113067, opens an external URL in a new window, opens an external URL in a new window

S. Hubmer, R. Ramlau
A frame decomposition of the atmospheric tomography operator
Inverse Problems 36 (9), p. 094001, 2020
https://doi.org/10.1088/1361-6420/aba4fe, opens an external URL in a new window, opens an external URL in a new window

R. Ramlau, R. Wagner, W. Zeilinger et al.
MICADO PSF-Reconstruction work package description
Dez 2020, http://arxiv.org/abs/2012.04959, opens an external URL in a new window, opens an external URL in a new window

B. Stadler, R. Biasi, M. Manetti, R. Ramlau
Real-time implementation of an iterative solver for atmospheric tomography
September 2020
https://arxiv.org/abs/2009.00946, opens an external URL in a new window, opens an external URL in a new window

R. Ramlau, B. Stadler
An augmented wavelet reconstructor for atmospheric tomography
November 2020
https://arxiv.org/abs/2011.06842, opens an external URL in a new window, opens an external URL in a new window

Hinterer, S. Hubmer, R. Ramlau
A note on the minimization of a Tikhonov functional with ℓ 1-penalty
Inverse Problems 36 (7), June 2020
https://doi.org/10.1088/1361-6420/ab89c2, opens an external URL in a new window, opens an external URL in a new window

I. Shatokhina, V. Hutterer, R. Ramlau
Review on methods for wavefront reconstruction from pyramid wavefront sensor data
Journal of Astronomical Telescopes, Instruments and Systems 6(1), 010901 (2020)
https://doi.org/10.1117/1.JATIS.6.1.010901, opens an external URL in a new window, opens an external URL in a new window

R. Ramlau, R. Ke, R. Wagner, R. Chan
Reconstruction of the High Resolution Phase in a Closed Loop Adaptive Optics System
SIAM Journal on Imaging Sciences, Vol. 13, Nb 2, p. 775-806, May 2020
DOI. 10.1137/19M1258426

R. Ramlau, Ch. Koutschan, B. Hofmann
On the Singular Value Decomposition of n-Fold Integration Operators
in: J. Cheng, S. Lu, M. Yamamoto, Inverse Problems and Related Topics
Proceeding of ICIP2 2018,  Shanghai/China
Part of the Springer Proceedings in Mathematics & Statistics, opens an external URL in a new window, opens an external URL in a new window book series (PROMS, volume 310)
February 2020

S. Hubmer, A. Neubauer, R. Ramlau, H. U. Voss
A conjugate-gradient approach to the parameter estimation problem of magnetic resonance advection imaging,
Inverse Problems in Science and Engineering, January 2020
DOI: 10.1080/17415977.2019.1708911, opens an external URL in a new window, opens an external URL in a new window

M. Pöttinger, R. Ramlau, G. Auzinger
A new Temporal Control Approach for SCAO Systems
Inverse Problems, Sept 2019
doi 10.1088/1361-6420/ab44dc

R. Ramlau, B. Stadler, R. Biasi, M. Manetti (2019)
Feasibility of standard and novel solvers in atmospheric tomography for the ELT. In: AO4ELT (Hrsg.) (Adaptive Optics for Extremely Large Telescopes 6); Quebec, S. 9.

R. Ramlau, O. Scherzer
100 years Mathematical Tomography, in: The Radon Transform, p 1-4,
June 2019, doi 10.1515/9783110560855-201

V. Hutterer, R. Ramlau, I. Shatokhina
Real-time Adaptive Optics with pyramid wavefront sensors: Accurate wavefront reconstruction using iterative methods
Inverse Problems 35 (4), Feb 2019
doi 10.1088/1361-6420/ab0900

V. Hutterer, R. Ramlau, I. Shatokhina
Real-time Adaptive Optics with pyramid wavefront sensors: A theoretical
analysis of the pyramid sensor model
Inverse Problems 35 (4), Feb 2019
doi 10.1088/1361-6420/ab0656

R. Ramlau and L. Reichel
Error estimates for Arnoldi-Tikhonov regularization for ill-posed operator equations
Inverse Problems Volume 35, Feb 2019,
doi 10.1088/1361-6420/ab0663

J. Niebsch and R. Ramlau
Frequency-dependent reconstruction of imbalances
ETNA, Vol. 48, pp. 435–449, 2018
DOI: 10.1553/etna_vol48s435

V. Hutterer, Iu. Shatokhina, A. Obereder, R. Ramlau
Advanced wavefront reconstruction methods for segmented Extremely Large Telescope pupils
using pyramid sensors
Journal of Astronomical Telescopes, Instruments, and Systems 4 (4), 049005 (2018)
DOI http://dx.doi.org/10.1117/1.JATIS.4.4.049005, opens an external URL in a new window, opens an external URL in a new window

V. Hutterer and R. Ramlau
Nonlinear wavefront reconstruction Methods for pyramid sensors using Landweber and Landweber-Kaczmarz Iteration
Journal of Applied Optics 57 (30), October 2018, pp. 8790-8804
http://ao.osa.org/abstract.cfm?URI=ao-57-30-8790, opens an external URL in a new window, opens an external URL in a new window
doi: 10.1364/AO.57.008790

V. Hutterer, I. Shatokhina, R. Ramlau, A. Obereder
Wavefront reconstruction for ELT-sized telescopes with pyramid wavefront sensors, in:
Proceedings SPIE, volume 10703, p. 10703-1070344-18
doi: 10.1117/12.2312423

R. Wagner, Ch. Hofer, R. Ramlau
Point spread function reconstruction for single-conjugate adaptive optics on extremely large telescopes
Journal of Astronomical Telescopes, Instruments and Systems 4 (4), 049003, 2018
doi: 10.1117/1.JATIS.4.4.049003

R. Davies, J. Alves, R. Ramlau, R. Wagner, V. Hutterer, J. Niebsch et al.
The MICADO first light imager for the ELT: overview, operation, Simulation,
in: Proceeding of the SPIE Astronomical Telescopes and Instrumentation Conference,
Austin, Texas, June 2018, Volume 10702: Ground-based and Airborne Instrumentation for
Astronomy VII, 107021S, 2018. 

R. Ramlau, S. Hubmer
Nesterov's accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional
Inverse Problems 34 (9), 2018
DOI: 10.1088/1361-6420/aacebe, opens an external URL in a new window, opens an external URL in a new window

R. Ramlau, O. Scherzer
The first 100 years of the Radon transform
Inverse Problems, Volume 34 (9), 2018

doi.org/10.1088/1361-6420/aacf27, opens an external URL in a new window, opens an external URL in a new window

T. Helin, S. Kindermann, J. Lehtonen and R. Ramlau
Atmospheric turbulence profiling with unknown power spectral density
Inverse Problems 34.4 (Mar. 2018), p. 044002
doi: 10.1088/1361-6420/aaaf88.

A. Buccini, M. Donatelli and R. Ramlau
A semi-blind regularization algorithm for inverse problems with application to image deblurring
SIAM Journal on Scientific Computing, Volume 40 (1), pp A452 - A483, 2018

V. Hutterer, R. Ramlau
Wavefront reconstruction from nonmodulated pyramid wavefront sensor data using a singular value type expansion. Inverse Problems (34), S. 035002 (19 pp), 2018

S. Hubmer, A. Neubauer, R. Ramlau, H. U. Voss
On the Parameter Estimation Problem of Magnetic Resonance Advection Imaging
Journal of Inverse Problems and Imaging, 2018, 12 (1), pp 175-204

R. Ramlau, I. Shatokhina
Convolution and Fourier transform based reconstructors for pyramid wavefront sensor
Applied Optics, Volume 56 (22), p. 6381-6390, 2017
https://doi.org/10.1364/AO.56.006381, opens an external URL in a new window, opens an external URL in a new window

A. Neubauer, R. Ramlau and R. Wagner
Simulation results for a finite element-based cumulative reconstructor
Journal of Astronomical Telescopes Instruments and Systems, Volume 3 (4), 2017,
doi:10.1117/1.JATIS.3.4.049001,

D. Gerth, A. Hofinger and R. Ramlau
On the lifting of deterministic convergence rates for inverse problems with stochastic noise
Journal on Inverse Problems and Imaging 11 (2017), 663 - 687,

J. Niebsch, R. Ramlau and K. M. Soodhalter
Solution of coupled differential equations arising from imbalance problems
Electronic Transactions on Numerical Analysis. Volume 46, pp. 89–106, 2017,

S. Hubmer and R. Ramlau
Convergence Analysis of a Two-Point Gradient Method for Nonlinear Ill-Posed Problems
Inverse Problems 33 (2017), doi.org/10.1088/1361-6420/aa7ac7,

A. Neubauer and R. Ramlau
A singular value type decomposition for the atmospheric tomography operator,
SIAM Journal on Applied Mathematics Vol. 77, p. 838-853, 2017,

E. Klann, R. Ramlau, P. Sun
A Mumford-Shah-type approach to simultaneous reconstruction and segmentation for emission tomography problems with Poisson statistics,
Journal of Inverse and Ill-Posed Problems, Vol. 25 (4): 521-542, doi:10.1515/jiip-2016-0077, 2017,

R. Ramlau, D. Saxenhuber
A gradient-based method of atmospheric tomography,
Inverse Problems and Imaging Vol. 10 (3): 781-805, 2016
doi: 10.3934/ipi.2016021,, opens an external URL in a new window, opens an external URL in a new window

R. Ramlau, R. Davies, J. Alves et al.,
MICADO: first light imager for the E-ELT,
Proceeding of the SPIE Astronomical Telescopes and Instrumentation Conference, Edinburgh June 2016,
Volume 9908: Ground-based and Airborne Instrumentation for Astronomy VI, 99081Z (August 9, 2016)
doi:10.1117/12.2233047,

R. Wagner, T. Helin, A. Obereder, R. Ramlau,
Efficient reconstruction method for ground layer adaptive optics with mixed natural and laser guide stars,
Applied Optics Vol. 55, No. 6, 1421--1429, February 2016,

S. Raffetseder, R. Ramlau, M. Yudytskiy
Optimal Mirror Deformation for multi conjugate Adaptive Optics Systems
Inverse Problems Vol. 32, No. 2, p. 025009, January 2016,
doi: 10.1088/0266-5611/32/2/025009,

H. W. Engl and R. Ramlau,
Regularization of Inverse Problems,
in: B. Engquist (Editor), Encyclopedia of Applied and Computational Mathematics, Springer, 2015,

I. Bleyer and R. Ramlau,
An alternating iterative minimisation algorithm for the double-regularised total least square functional,
Inverse Problems Vol. 31 (7): 075002, 2015,

D. Gerth, B. Hahn and R. Ramlau,
The method of the approximate inverse for atmospheric tomography,
Inverse Problems Vol. 31 (6): 065002, 2015,

E. Klann, E. T. Quinto and R. Ramlau,
Wavelet methods for a weighted sparsity penalty for region of interest tomography,
Inverse Problems Vol. 31 (2): 025001, 2015,

D. Gerth, E. Klann, L. Reichel and R. Ramlau,
On fractional Tikhonov regularization,
Journal of Inverse and Ill-posed Problems Vol. 23, 611--625, 2015,

W. Wang, S. W. Anzengruber, R. Ramlau and B. Han,
A global minimization algorithm for Tikhonov functionals with sparsity constraints,
Applicable Analysis, 01/2014, doi: 10.1080/00036811.2014.931025, 2014,

J. Niebsch and R. Ramlau,
Simultaneous estimation of mass and aerodynamic rotor imbalances for wind turbines,
Journal of Mathematics in Industry Vol. 4:12, doi: 10:1186/2190-5983-4-12, 2014,

A. Neubauer and R. Ramlau,
On convergence rates for quasi-solutions of ill-posed problems,
ETNA Vol. 41: 81-92, 2014,

D. Gerth and R. Ramlau,
A stochastic convergence analysis for Tikhonov regularization with sparsity constraints,
Inverse Problems Vol. 30: 055009, 2014,

R. Ramlau, A. Obereder, M. Rosensteiner and D. Saxenhuber,
Efficient iterative tip/tilt reconstruction for atmospheric tomography,
Inverse Problems in Science and Engineering, doi: 10.1080/17415977.2013.873534, 2014,

M.Yudytskiy, T. Helin and R. Ramlau,
Finite element-wavelet hybrid algorithm for atmospheric tomography,
Journal of the Optical Society of America A Vol. 31 (3): 550-560, 2014,

M. Yudytskiy, T. Helin and R. Ramlau,
A frequency dependent preconditioned wavelet method for atmospheric tomography,
Proceedings of the third AO4ELT Conference, DOI: 10.12839/AO4ELT3.13433, Florence, 2013,

S. Anzengruber, B. Hofmann and R. Ramlau,
On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization,
Inverse Problems Vol. 29 (12): 125002, 2013,

Iu. Shatokhina, A. Obereder, M. Rosensteiner, and R. Ramlau
Preprocessed cumulative reconstructor with domain decomposition: a fast wavefront reconstruction method for pyramid wavefront sensor
Applied Optics Vol. 52 (12): 2640-2652, 2013,

M. Rosensteiner and R. Ramlau
The Kaczmarz algorithm for multiconjugated adaptive optics with laser guide stars
Journal of the Optical Society of America A Vol. 30 (8): 1680-1686, 2013,

M. Eslitzbichler, C. Pechstein and R. Ramlau
An H^1 Kaczmarz reconstructor for atmospheric tomography
Journal of Inverse and Ill-Posed Problems Vol. 21 (3): 431-450, 2013,

E. Klann and R. Ramlau,
Regularization properties of Mumford-Shah type functionals with perimeter and norm constraints for linear ill-posed problems,
SIAM Journal of Imaging Sciences Vol. 6 (1):  413-436, 2013,

I. Bleyer and R. Ramlau,
A Double Regularization Approach for Inverse Problems with Noisy Data and Inexact Operator,
Inverse Problems Vol. 29 (2): 025004, 2013,

C. Brandt, A. Krause, J. Niebsch, J. Vehmeyer, E. Brinksmeier, P. Maass and R. Ramlau,
Surface Generation Process with Consideration of the Balancing State in Diamond Machining,
In: B. Denkena, F. Hollmann (Eds.) Lecture Notes in Production Engineering, Process Machine Interactions, pages 329-360, Springer, 2012

S. W. Anzengruber, E. Klann, R. Ramlau and D. Tonova,
Numerical methods for the design of gradient-index optical coatings,
Applied Optics Vol. 51 (34): 173652, December 2012

R. Ramlau and M. Rosensteiner,
An efficient solution to the atmospheric turbulence tomography problem using Kaczmarz iteration,
Inverse Problems Vol. 28 (9): 095004, 2012

S. Kindermann, A. Neubauer and R. Ramlau.
A singular value decomposition for the Shack - Hartmann based wavefront reconstruction,
J. Comput. Appl. Math. Vol. 236 (8): 2186-2199, February 2012

R. Ramlau and C. Zarzer,
On the optimization of a Tikhonov functional with non-convex sparsity constraints,
ETNA Vol. 39: 476-507, 2012

K. Lettmann, N. Riedinger, R. Ramlau, N. Knab, M. Böttcher, A. Khalili, J.-O. Wolff and B. Jorgensen,
Estimation of biogeochemical rates from concentration profiles: a novel inverse method,
Estuarine, Coastal and Shelf Science Vol. 100: 26-37, 2012

S. Anzengruber and R. Ramlau,
Convergence rates for Morozov's discrepancy principle using variational inequalities,
Inverse Problems Vol. 27 (10): 105007, 2011

M. Zhariy, A. Neubauer, M. Rosensteiner, and R. Ramlau,
Cumulative Wavefront Reconstructor for the Shack-Hartmann Sensor,
Inverse Problems and Imaging Vol. 5 (4): 893-913, 2011

C. Brandt, J. Niebsch, R. Ramlau and P. Maass,
Modeling the Influence of Unbalances for Ultra-Precision Cutting Processes,
ZAMM Vol. 91 (10): 795-808, 2011

E. Klann, R. Ramlau and L. Reichel,
Wavelet-Based Multilevel Methods for Linear Ill-Posed Problems,
BIT Numer. Math Vol. 5 (3): 669-694, 2011

E. Klann, R. Ramlau and W. Ring.
A Mumford-Shah level-set approach for the inversion and segmentation of SPECT / CT data.
Inverse Problems in Imaging Vol. 30 (1), May 2011

R. Ramlau and G. Teschke,
Sparse Recovery in Inverse Problems,
In: M. Fornasier (Ed.), Theoretical Foundations and Numerical Methods for Sparse Recovery,
Radon Series on Computational and Applied Mathematics 9, pages 201-262, De Gruyter, Berlin, 2010

R. Ramlau and W. Ring,
Regularization of linear operator equations by Perimeter constraints,
Inverse Problems Vol. 26 (11): 115001, 2010

S. Anzengruber and R. Ramlau,
Morozovs discrepancy principle for Tikhonov-type functionals with non-linear operators,
Inverse Problems Vol. 26 (2), February 2010

E. Resmerita and R. Ramlau,
Convergence rates for regularization with sparsity constraints,
ETNA Vol. 37: 87-104, 2010

J. Niebsch, R. Ramlau and T.T. Nguyen,
Mass and Aerodynamic Imbalance Estiamtes of Wind Turbines,
Energies Vol. 3(4): 696-710, 2010

S. Anzengruber, F. Bauer, A. Leitao and R. Ramlau,
New algorithms for parallel MRI,
J. Phys.: Conf. Ser. 135 012009 (8pp), 2009

M. Fornasier, R. Ramlau and G. Teschke,
The application of joint sparsity and total variation minimization algorithms to a real-life art restoration problem,
Adv. Comput. Math. Vol. 31 (1-3): 157-184, 2009

J. Niebsch and R. Ramlau,
Imbalance identification without test masses for  wind turbines,
J. Solar Energy Engeneering Vol. 131 (1), 011010-1 - 011010-7,  2009

L. Justen and R. Ramlau,
A General Framework for Soft–Shrinkage with Applications to Blind Deconvolution and Wavelet Denoising,
Appl. Comp. Harmon. Anal.  Vol. 26 (1): 43 - 63, 2009

R. Ramlau, G. Teschke, and M. Zhariy,
A Compressive Landweber Iteration for Solving Ill-Posed Inverse Problems.
Inverse Problems Vol. 24 065013, 2008

R. Ramlau,
Regularization properties of Tikhonov regularization with sparsity constraints,
ETNA Vol. 30: 54-74, 2008

E.Klann and R.Ramlau,
Regularization by Fractional Filter Methods and Data Smoothing,
Inverse Problems Vol. 24 (2), April 2008

C. Brandt, H. R. Karimi, I. Piotrowska, J. Niebsch, R. Ramlau, A. Krause, O. Riemer and P. Maass,
Process- Machine Interaction Model for Turning Process,
Proceedings of the 1st International Conference on Process Machine Interactions, Hannover, pages 239-246, 2008

J. Niebsch and R. Ramlau,Balancing wind power plants,
ECMI Newsletter, 2008

Gerd 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 Vol. 23 (5): 1851-1870, October 2007

S. Kindermann and R. Ramlau,
Surrogate functional and tresholding for inverse interface problems,
Journal for Inverse and Ill - Posed Problems Vol. 15 (4): 387-402, 2007

R. Ramlau and W. Ring,
A Mumford-Shah approach for contour tomography, opens an external URL in a new window, opens an external URL in a new window,
Journal of Computational Physics Vol. 221 (2): 539-557, February 2007

Shuai Lu, Sergei V Pereverzev and Ronny Ramlau,
An analysis of Tikhonov regularization for nonlinear ill-posed problems under a general smoothness assumption.
Inverse Problems Vol. 23 (1): 217-230, February 2007

R. Ramlau,
Tikhonov regularization with non - standard constraints for Tomography,
A. K. Louis, F. Natterer, E. T. Quinto, Mathematical Methods in Tomography, 34/2006, Oberwolfach Report, 62-64, 2006

R. Ramlau and G. Teschke,
A Tresholding Iteration for Nonlinear Operator Equations with Sparsity Constraints,
Numerische Mathematik  Vol. 104 (2): 177 - 203, 2006

E. Klann, P. Maass and R. Ramlau,
Tikhonov regularization with Wavelet shrinkage for linear inverse problems,
Journal for Inverse and Ill-Posed Problems Vol. 14 (6): 583 - 609, 2006.

J. Niebsch and R. Ramlau,
Automatische Unwuchterkennung am Rotor,
Erneuerbare Energien, Ausgabe 5, Mai 2006

R. Ramlau
Auswuchten von rotierenden Systemen.
Univationen 02/2006,  p. 6

L. Justen and R. Ramlau
A non-iterative regularization approach to blind deconvolution
Inverse Problems Vol. 22 (3): 771-800, 2006

R. Ramlau, V. Dicken, P. Maass, C. Streller and A. Rienäcker,
Inverse Imbalance Reconstruction in Rotordynamics, opens an external URL in a new window, opens an external URL in a new window,
ZAMM Vol. 86 (5): 385-399, 2006

R. Ramlau and G. Teschke.
Tikhonov Replacement Functionals for Iteratively Solving Nonlinear Operator Equations, opens an external URL in a new window, opens an external URL in a new window,
Inverse Problems Vol. 21 (5): 1571-1592, 2005

R. Ramlau,
On the use of fixed point iterations for the regularization of nonlinear ill-posed problems, opens an external URL in a new window, opens an external URL in a new window,
Journal for Inverse and Ill-Posed Problems Vol. 13(2): 175-200,  2005

V. Dicken, I. Menz, P. Maass, J. Niebsch  and R. Ramlau,
Inverse imbalance reconstruction for nonlinearly damped systems, opens an external URL in a new window, opens an external URL in a new window,
Inverse Problems in Science and Engineering , Vol. 13 (5): 507-543, 2005

S. Fischer, O. Hansen and R. Ramlau,
Regularization of Mellin-type Inverse Problems with an application to oil engineering,
Linear Algebra and its Applications 391: 125-147, 2004

R. Ramlau and G. Teschke,
Regularization of Sobolev Embedding Operators and Applications to Medical Imaging and Meteorological Data.
Part II: Regularization Incorporating Noise with Applications in Medical Imaging and Meteorological Data,
Sampling Theory in Signal and Image Processing Vol. 3 (3): 205-226, 2004

R. Ramlau and G. Teschke,
Regularization of Sobolev Embedding Operators and Applications to Medical Imaging and Meteorological Data.
Part I: Regularization of Sobolev Embedding Operators,
Sampling Theory in Signal and Image Processing Vol. 3 (2): 175-195, 2004

R. Ramlau,
Regularization of Nonlinear Ill-Posed Operator Equations: Methods and Applications, opens an external URL in a new window, opens an external URL in a new window,
Habilitationsschrift, Universität Bremen, 2003

R. Ramlau,
TIGRA - an iterative algorithm for regularizing nonlinear ill-posed problems, opens an external URL in a new window, opens an external URL in a new window,
Inverse Problems Vol. 19 (2): 433-465, 2003

V. Dicken, P. Maass, I. Menz, J. Niebsch, and R. Ramlau,
Inverse Unwuchtidentifikation an Flugtriebwerken mit Quetschöldämpfern, opens an external URL in a new window, opens an external URL in a new window,
In: Irretier et al., Schwingungen in rotierenden Maschinen, pages 123-132, Vieweg, 2003

F. Stenger, A.R. Nagsh-Nilshi, J. Niebsch and R. Ramlau,
Sampling methods for approximate solution of pde, opens an external URL in a new window, opens an external URL in a new window
In: M. Zuhair Nashed and Otmar Scherzer, editors, Inverse Problems, Image Analysis, and Medical Imaging,
Contemporary Mathematics 313, pages 199-249, American Mathematical Society, 2002

R. Ramlau,
Morozov's Discrepancy Principle for Tikhonov regularization of nonlinear operators, opens an external URL in a new window, opens an external URL in a new window,
Numerical Functional Analysis and Optimization Vol. 23 (1&2): 147-172, 2002

R. Ramlau,
A steepest descent algorithm for the global minimization of Tikhonov Phillips functional, opens an external URL in a new window, opens an external URL in a new window,
Inverse Problems Vol. 18 (2): 381-405, 2002

P. Maass, S.V. Pereverzev, R. Ramlau and  S.G. Solodky,
An adaptive discretization for Tikhonov Phillips regularization with a posteriori parameter selection, opens an external URL in a new window, opens an external URL in a new window,
Numerische Mathematik 87(3): 485-502, 2001

R. Ramlau,
Iterative solutions of multilinear ill-posed problems with an application to medical imaging,
In: GAMM '99 Annual Meeting, Z. angew. Math. Mech Vol. 80, Suppl.1: 241-244, 2000

R. Ramlau, R. Clackdoyle, F. Noo, G. Bal,
Accurate attenuation correction in SPECT imaging using optimization of bilinear functions and assuming an unknown spatially-varying attenuation distribution, opens an external URL in a new window, opens an external URL in a new window,
Z. Angew. Math. Mech. 80(9): 613-621, 2000

R. Ramlau,
A modified Landweber-method for inverse problems, opens an external URL in a new window, opens an external URL in a new window,
Numerical Functional Analysis and Optimization, Vol. 20 (1&2): 79-98, 1999

R. Ramlau and R. Clackdoyle,
Accurate attenuation correction in SPECT imaging using optimization of bilinear functions and assuming spatially-varying attenuation distribution,
Nuclear Science Symposium 1998 Conference Record. IEEE, Vol. 3: 1684-1688, 1998

R. Ramlau,
Discretized Landweber iteration methods for nonlinear inverse problems,
In: GAMM '97 Annual Meeting, Z. angew. Math. Mech 78, Suppl. 1: 85-88, 1998

C. Bernutat, Ch. Böckmann and R. Ramlau,
Examination of the nonlinear lidar-operator - an inverse ill-posed problem,
Proceedings of the 19th International Laser Radar Conference NASA/CP-1998-207671/PTI, 1998

R. Ramlau,
Modifizierte Landweber-Iterationen zur Lösung von schlecht gestellten Inversen Problemen, opens an external URL in a new window, opens an external URL in a new window,
Dissertation, Universität Potsdam,  1997

P. Maass and R. Ramlau,
Accelerated iteration methods for inverse problems,
In: ICIAM '95-Sonderband, Z. angew. Math. Mech, Suppl. 1: 183-186, 1996

P. Maass and R. Ramlau,
Wavelet-accelerated regularization methods for hyperthermia treatment planning, opens an external URL in a new window, opens an external URL in a new window,
Int. Journal of Imaging Systems and Technology Vol. 7 (3): 191-199, 1996

R. Ramlau,
Identification of optical thin film systems with the method of phase reconstruction, opens an external URL in a new window, opens an external URL in a new window,
Inverse Problems 12 (1): 77-87, 1996