Publications of Univ. - Prof. Dr. Ronny Ramlau
R. Ramlau, O. Scherzer
The first 100 years of the Radon transform
Inverse Problems, Volume 34 (9), 2018
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
R. Ramlau, I. Shatokhina
Convolution and Fourier transform based reconstructors for pyramid wavefront sensor
Applied Optics, Volume 56 (22), p. 6381-6390, 2017
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,
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, A. Neubauer, R. Ramlau, H. U. Voss
On the Parameter Estimation Problem of Magnetic Resonance Advection Imaging
Journal of Inverse Problems and Imaging, 2017, forthcoming,
S. Hubmer and R. Ramlau
Convergence Analysis of a Two-Point Gradient Method for Nonlinear Ill-Posed Problems
Inverse Problems 33 (2017),,
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
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)
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,
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,
ZAMM Vol. 86 (5): 385-399, 2006

R. Ramlau and G. Teschke.
Tikhonov Replacement Functionals for Iteratively Solving Nonlinear Operator Equations,
Inverse Problems Vol. 21 (5): 1571-1592, 2005

R. Ramlau,
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,
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,
Habilitationsschrift, Universität Bremen, 2003

R. Ramlau,
Inverse Problems Vol. 19 (2): 433-465, 2003

V. Dicken, P. Maass, I. Menz, J. Niebsch, and R. Ramlau,
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
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,
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,
Inverse Problems Vol. 18 (2): 381-405, 2002

P. Maass, S.V. Pereverzev, R. Ramlau and  S.G. Solodky,
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,
Z. Angew. Math. Mech. 80(9): 613-621, 2000

R. Ramlau,
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,
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,
Int. Journal of Imaging Systems and Technology Vol. 7 (3): 191-199, 1996

R. Ramlau,