Univ.-Prof. Dr. rer. nat. Dr. h. c. mult. Alfred K. Louis
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Telefon: 0681-302/3018
Zimmer 4.10 (Gebäude E1 1)
Forschungsinteressen:
- Inverse Probleme
- Lokale Methoden für globale Probleme
- Kombination von Bildrekonstruktion und Bildanalyse
- Parameterschätzung
- Wavelets
- Industrielle Mathematik
Lebenslauf:
| 1949 | Geburt |
| 1972 | Saarbrücken: Diplom in Mathematik |
| 1976 | Mainz: Promotion |
| 1982 | Münster: Habilitation für Mathematik |
| 1983-1986 | Kaiserslautern: Professur |
| 1986-1990 | Berlin: Professur an der Technischen Universität |
| seit 1990 | Saarbrücken: Professur |
Gastaufenthalte
| 1980/81 | University of New York, Buffalo |
| August/September 1982 | University of Pennsylvania, Philadelphia |
| März 2000 | Université de Montpellier |
| Oktober 2011 |
Sobolev Institut der Russischen Akademie der Wissenschaften, Novosibirsk |
Sonstiges
- 1992-1998: Mitglied des GAMM-Vorstands
- 1994-1997: Externer Teilprojektleiter am SFB 273: Hyperthermie: Methodik und Klinik, Berlin
- 1997: Ruf an die LMU München als Professor für Angewandte Mathematik
- 1997/99: Vizepräsident der Universität des Saarlandes
- 1999-2018: Mitglied des Wissenschaftlichen Beirats des Konrad-Zuse-Zentrums Berlin und von 1999-2013 dessen Sprecher
- 2000: Ruf auf Full Professor, Louisiana State University, Baton Rouge, LA, U.S.A.
- 2007-2016: Member of the Scientific Board of Radon Institute Linz, 2014-2016 dessen Sprecher
- seit 2013: Mitglied des International Advisory Board (IAB) des Institut d'Etudes Avancés (IEA) der Universität Cergy-Pontoise
- seit 1997: Besitzer von ISCA Prof. Louis
Ehrungen
- 2005: Chevalier de l'Ordre des Palmes Académiques
- 2012: Ehrendoktor der Universität Bremen
- 2013: Ehrendoktor der Novosibirsk State University
- 2019: Verleihung der Goldmedaille des Sobolev Insituts für Mathematik der Russichen Akademie der Wissenschaften für das Lebenswerk
Editorial Boards
- Inverse Problems, Editor-in-Chief, 2010-2014
- Documenta Mathematica, geschäftsführender Herausgeber 1996-2012
- SIAM J Imaging Sciences, 2008-2017
- International Journal of Biomedical Imaging, 2006-2020
- Journal of Inverse and Ill-Posed Problems, seit 2014
- Vestnik Novosibirskogo Gosudarstvennogo Universteta. Seriya Matematika, Mekhanika, Informatika, seit 2014
- 1993-1997: Inverse Problems
- 1993-1998: IEEE Transaction Medical Imaging
- 1995-1997: Computing
- 1991-2004: Surveys on Mathematics for Industry
Projekte
- Teilprojekt beim SFB 273 Hyperthermie, Berlin
- Chinesisch-Deutsches Projekt gefördert durch Sino-German Center for Research Promotion, Beijing
- 10 DFG - Projekte
- 5 BMBF - Projekte
- 3 EU - Projekte
- Industrieprojekte
Recent Publications
A K Louis
Inversion Formulae for Ray Transforms in Vector and Tensor Tomography
Inverse Problems https://iopscience.iop.org/article/10.1088/1361-6420/ac6379,
Inverse Problems 38 065008, 2022
2021
S V Maltseva, I E Svetov and A K Louis
An iterative algorithm for reconstructing a 2D vector field by its limited-angle ray transform
J. Phys.: Conf. Ser. 1715 012037
A K Louis, S V Maltseva, A P Polyakova, T Schuster and I E Svetov
On solving the slice-by-slice three-dimensional 2-tensor tomography problems using the approximate inverse method
J. Phys.: Conf. Ser. 1715 012036
2020
Svetov I.E., Maltseva S.V., Louis A.K.
The method of approximate inverse in slice-by-slice vector tomography problems.
Lecture Notes in Computer Science. 2020. Vol 11974. P. 487–494.
2019
D. He, M. Jiang, A. K. Louis, P. Maass, T. Page:
Joint Bi-Modal Image Reconstruction Of Dot And XCT With An Extended Mumford-Shah Functional. ISBI 2019: 1463-1466
E. Svetov, S. V. Maltseva, A. K. Louis:
The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems, NUMTA (2) 2019: 487-494
Louis, A.K.:
Uncertainty, ghosts, and resolution in Radon problems.
In: R. Ramlau, O. Scherzer (eds). The Radon Transform: The First 100 Years and Beyond
De Gruyter | 2019, https://doi.org/10.1515/9783110560855-008
Veröffentlichungen
- Uncertainty, Ghosts and Resolution in Radon Problems To appear in Ramlau, R., Scherzer, O. (eds): The first 100 years of the Radon Transform.
- The cone-beam transform and spherical convolution operators Inverse Problems, 34, 105006
- A new class of very efficient algorithms for local dimming Optim Eng (2018) 19: 1
- Numerical solvers based on the method of approximate inverse for 2D vector and 2-tensor tomography problems Inverse Problems 33 (2017) 124001.
- New n-dimensional reconstruction formula for flat detector geometry Preprint Fully 3D Conference 2017
- Numerical Aspects of Cone Beam Contour Reconstruction Sens Imaging (2017) 18:15.
- Spherically symmetric volume elements as basis functions for image reconstructions in computed laminography Journal of X-Ray Science and Technology 25 (2017) 533–546
- Numerical rate function determination in partial differential equations modeling cell population dynamics J. Math. Biol. (2017), 74(3), 533-565.
- Exact cone beam reconstruction formulae for functions and their gradients for spherical and flat detectors Inverse Problems 32 (2016) 115005
- Inverse Design of Anti-Reflection Coatings using the Nonlinear Approximate Inverse Inverse Problems in Science and Engineering, 24(6), 917-935.
- A Stable Numerical Algorithm for the Design of Anti-Reflection Coatings for Solar Cells Int. J. Renewable Energy Technology, 7, 97-111, 2016
- A new local dimming algorithm based on the simplex method Comput Optim Appl (2016) 64: 243
- Series Expansions of the Reconstruction Kernel of the Radon Transform over a Cormack-Type Family of Curves with Applications in Tomography SIAM Journal on Imaging Sciences, 7(2), 924–943.
- Principal Component Analysis of gait in Parkinson ́s disease: relevance of gait velocity Gait & Posture 39 (2014) 882-887
- Non-Destructive Testing of Anti-Reflection Coatings for Solar Cells Proceedings of the European Workshop on Renewable Energy Systems (EWRES), 2013
- Visibility Studies of Grating-based Neutron Phase Contrast and Dark-field Imaging by Using Partial Coherence Theory Journal of Korean Physical Society, Vol. 63, No. 11, pp. 2093 - 2097, 2013
- Cone Beam Geometry for Small Objects in Phase Contrast Tomography Inverse Problems 29 (2013) 095013s
- Combined Reconstruction and Edge Detection in Dimensioning Meas. Sci. Technol. 24 (2013) 125601 (10pp)
- Modeling and Simulation Results on a new Compton Scattering Tomography Modality Simulation Modeling Practice and Theory (SIMPAT), 33(2013), 28-44
- Partial Coherence Theory for X-ray Phase Contrast Imaging Technique With Gratings Optics Communications, 285, 4736-4774, 2012
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Reconstruction in the three-dimensional parallel scanning geometry with application in synchrotron-based x-ray tomography
Inverse Problems 28 (2012) 045013 (19pp)
Paper Selected in "2012 Highlights for Inverse Problems" - Novel Numerical Inversions of two Circular-Arc Radon Transforms in Compton scattering tomography Inverse Problems in Science and Engineering, 20, 809-839, 2012
- Singular Value Decomposition and its Application to Numerical Inversion for Ray Transforms in 2D Vector Tomography Journal of Inverse and Ill-Posed Problems 19, 689–715, 2011
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Feature Reconstruction in Inverse Problems
Inverse Problems 27 (2011) 065010 (21pp)
Paper Selected in "2011 Highlights for Inverse Problems" - Circular Harmonic Decomposition Approach for Numerical Inversion of Circular Radon Transforms Proceedings of the workshop New Computational Methods for Inverse Problems, Cachan, France, 2011
- Fast and high-quality reconstruction in electron tomography based on an enhanced linear forward model Inverse Problems 27 (2011) 045008 (20pp)
- Inversion algorithms for the spherical Radon and cosine transform Inverse Problems 27 (2011) 035015 (25pp)
- Calibrating local volatility in inverse option pricing using the Levenberg-Marquardt method Journal of Inverse and Ill-Posed Problems 18, 2010
- Diffusion Reconstruction From Very Noisy Tomographic Data Inverse Problems and Imaging 4, 675-683, 2010
- More Mathematics into Medicine! In: M. Grötschel, K. Lucas, V. Mehrmann (eds.), Productions Factor Mathematics. acatech – German Academy of Science and Engineering, Springer-Verlag Berlin Heidelberg, pp. 357-378 (2010)
- Discrete wavelet transformation in gait analysis: comparison of methods in healthy subjects and parkinsonian patients Movement Disorders 24, S.333
- Gait analysis in healthy subjects and parkinsonian patients: analysis of side asymmetries Movement Disorders 24, S.334
- Stochastic modelling of biased cell migration and collagen matrix modification Journal of Mathematical Biology 61, 617-647, 2010
- Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization J. Inv. Ill-Posed Problems 17 (2009), 845-869
- Mehr Mathematik wagen in der Medizin In: M. Grötschel, K. Lucas, V. Mehrmann (eds.), Produktionsfaktor Mathematik. Wie Mathematik Technik und Wirtschaft bewegt. acatech - Deutsche Akademie der Technikwissenschaften, Springer-Verlag Berlin Heidelberg, pp. 435-459 (2009)
- An iterative regularization method for the solution of the split feasibility problem in Banach spaces. (English summary) Inverse Problems, 24 (2008), no. 5, 055008, 20 pp.
- Computer supported calculation and evaluation of BOF slag composition Millennium Steel MS08, S. 55-59, 2008
- Mathematische Modellierung in der Systembiologie Der Pathologe, 29 (2008), 135-140.
- Image reconstruction and image analysis in tomography: fan beam and 3D cone beam in: Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), 2008, 211-229, ISBN: 978-88-7642-314-7
- A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography International Journal of Biomedical Imaging, 2008, Article ID 174283, 17 pages.
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Locating radiating sources for Maxwell's equations using the approximate inverse
Inverse Problems, 24 (2008/04)
Paper Selected in "2008 Highlights for Inverse Problems" - Metric and Bregman Projections onto Affine Subspaces and their Computation via Sequential Subspace Optimization Methods Journal of Inverse and Ill-Posed Problems, 16 (2008/05), 479–506
- Computing Reconstruction Kernels for circular 3D Cone Beam Tomography IEEE Transactions on Medical Imaging, Special Issue on Fully 3D Image Reconstruction, 27 (2008/07), 880-886
- Combining Image Reconstruction and Image Analysis with an Application to 2D - Tomography SIAM J. Imaging Sciences, 01 (2008/02), 188-208
- Computing Reconstruction Kernels for circular 3D Cone Beam Tomography Conference Proceedings - Fully 3D 2007 9th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine July 9 - 13, 2007, Lindau, Germany
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Optimal reconstruction kernels in medical imaging
in: Optimization in Medicine
Herausgeber: C.J.S. Alves, P.M. Paradalos, L.N. Vicente
Springer 2007 - Multiresolution 3D-Computerized Tomography and its Application to NDT 9th European Conference on Non-Destructive Testing (ECNDT), Berlin 2006
- Complete sets of radiating parts of a source and their fields with applications in inverse scattering limited angle problem International Journal of Biomedical Imaging 2006 (2006), Artikel ID 93074, 13 Seiten
- Development of Algorithms in Computerized Tomography Proceedings of Symposia in Applied Mathematics (63), American Mathematical Society, Herausgeber: Gestur Olafsson und Eric Todd Quinto, ISBN: 0-8218-3930-6, 25-42, 2006
- Nonlinear iterative methods for linear ill-posed problems in Banach spaces Inverse Problems, 22 (2006/01), 311-329
- Two Approaches to the problem of defect correction in vector field tomography solving boundary value problems Journal of Inverse and Ill-Posed Problems, 12 (2004/05), 557-669
- Phase Contrast Tomography using Holographic Measurements Inverse Problems, 20 (2004), 75-102
- Spatio-Temporal Current Density Reconstruction from EEG-/MEG-Data Mathematics - Key Technology for the Future / Ed.: Jäger, W., Krebs, H.-J.. - Berlin : Springer. 2003, 472-482
- Einfluß der Landnutzung auf Hochwasserentstehung Preprint
- Depth Resolved Residual Stress Evaluation from X-ray Diffraction Measure-ment Data using the Approximate Inverse Method Zeitschrift für METALLKUNDE, 94 (2003/08), 934-937
- Use of metal detectors for electromagnetic induction local 3D imaging Conference Proceedings Eudem2 - SCOT2003
- Filter design in three-dimensional cone beam tomography: circular scanning geometry Inverse Problems, 19 (2003), S31-S40
- Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem Journal of Inverse and Ill-Posed Problems, 8 (2002/2), 161-191
- Efficient Algorithms for the Regularization of dynamic inverse Problems - Part II : Applications Inverse Problems, 18 (2002), 659-676
- Efficient Algorithms for the Regularization of dynamic inverse Problems - Part I : Theory Inverse Problems, 18 (2002), 645-658
- Modelling and Simualtion in Preventive Flood Control Measures by Means of Types of Land Use Preprint
- Using rotational Invariances of Operators for the Implementation of Discrete Algorithms Preprint
- A Sobolev Space Analysis of Linear Regularization Methods for Ill-Posed Problems Journal of Inverse and Ill-Posed Problems, 9 (2001/1), 59-74
- Numerical Aspects of Spatio-Temporal Current Density Reconstruktion from EEG-/ MEG Data IEEE Transactions on Medical Imaging, 20 (2001/4), 314-324
- Spatio-Temporal Current Density Reconstruction (stCDR) from EEG/MEG-Data Brain Topography, 13 (2001), 195-207
- Local Tomographic Methods in SONAR Surveys on Solution Methods for Inverse Problems Springer-Verlag Wien/New York Herausgeber: D. Colton, H.W. Engl, A.K. Louis, J. McLaughlin, W. Rundell, 2000
- Measurement of Paint Layer Thickness with Photothermal Radiometry Mathematics - Key Technology for the Future
- Approximate Inverse for a one dimensional Inverse Heat Conduction Problem Inverse Problems, 16 (2000), 175-185
- A Unified Approach to Regularization Methods for Linear Ill-Posed Problems Inverse Problems, 15 (1999), 489-498
- The Approximate Inverse for Solving an Inverse Scattering Problem for Acoustic Waves in an Inhomogeneous Medium Inverse Problems, 15 (1999), 1213-1230
- Neuronal source reconstruction using the finite element model Electroenceph clin Neurophysiol 107:45P, 1998
- Constructing an approximate inverse for linear and some nonlinear problems in engineering Inverse Problems in Engineering - Theory and Practice The American Society of Mechanical Engeneers, New York Herausgeber: D. Delaunay, Y. Jarug, K.A. Woodbury S. 367-374, 1998
- Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography Inverse Problems in Medical Imaging and Nondestructive Testing Springer-Verlag Wien, New York Herausgeber: H.W.Engl, A.K.Louis, W.Rundell S. 120-133, 1997
- Approximate inverse for linear and some nonlinear problems Inverse Problems, 12 (1996), 175-190
- A novel filter design technique in 2D computerized tomography Inverse Problems, 12 (1996), 685-696
- Algorithmen für die 3D-Computer-Tomographie bei zerstörungsfreien Prüfverfahren Mathematik-Schlüsseltechnologie für die Zukunft, Springer-Verlag Heidelberg/Berlin, Herausgeber: K.H. Hoffmann, W. Jäger, T. Lohmann, H. Schunck, S. 397-407, 1996
- EEG signal analysis by continuous wavelet transform techniques Nonlinear Techniques in Physiological Time Series Analysis Springer, Herausgeber: H. Kuntz, J. Kurths, G. Mayer-Kress, 1996
- Contour reconstruction in 3-D X-Ray CT IEEE Transactions on Medical Imaging, 12 (1993/4), 764-769
- Parametric reconstruction of a biomagnetic imaging Inverse Problems in Scattering and Imaging, pp. 156-163, 1992 Herausgeber: M. Bertero, E.R. Pike, Adam Hilger
- Medical Imaging: State of the art and future development Inverse Problems, 8 (1992), 709-738
- Smoothed projection methods for the moment problem Numerische Mathematik, 59 (1991), 277-294
- Eikonal Approximation in Ultrasound Computerized Tomography Signal Processing II: Control and Applications, Springer, New York pp. 285-291, 1990, Herausgeber: F.A. Grünbaum, J.W. Helton, P. Khargonekar
- The instability of some gradient methods for ill - posed problems Numerische Mathematik, 58 (1990), 129-134
- Strategies for optimized application of annular - phased array systems in clinical hyperthermia International Journal of Hyperthermia, 1990, 157-173
- A mollifier method for linear operator equations of the first kind Inverse Problems, 6 (1990), 427-440
- On the mathematical foundation of hyperthermia treatment Math. Meth. Appl. Sci., 13, pp. 467-479, 1990
- Incomplete Data Problems in X-Ray Computerized Tomography Numerische Mathematik, 56 (1989), 371-383
- Numerical Approaches to Treatment Planning in Deep RF- Hyperthemia Strahlentherapie und Onkologie, 165 (1989), 751-757