pic louis

Research Interests

  • Inverse Problems
  • Medical Imaging, Nondestructive Testing
  • Parameter Estimation
  • Wavelets
  • Industrial Mathematics


Short Vita

1949 born
1972 Saarbrücken: Diploma in Mathematics
1976 Mainz: Doctorate
1982 Münster: Habilitation for Mathematics
1983-1986 Kaiserslautern: Associate Professor
1986-1990 Berlin: Full Professor Technical University
since 1990 Saarbrücken: Full Professor


Visiting Positions

1980/81 University of New York, Buffalo
August/September 1982 University of Pennsylvania, Philadelphia
March 2000 Université de Montpellier
October 2011
Sobolev Institute of Russian Academy of Science, Novosibirsk



  • 1997: Call to LMU München as Full Professor for Applied Mathematics
  • 2000: Call to Louisiana State University, Baton Rouge, LA, U.S.A. as Full Professor
  • 1997/99: Vice-president of Saarland University
  • 1992-1998: Member of the Board of GAMM
  • 1999-2018: Member of the Scientific Board of Zuse Institute Berlin (ZIB) and from 1999-2013 its speaker
  • 2007-2016: Member of the Scientific Board of Radon Institute Linz,  2014-2016 Chair of the SAB
  • since 2013: Member of the International Advisory Board of the Institute of Advanced Studies of the University Cergy-Pontoise
  • since 1997: Owner of ISCA Prof. Louis


  • 2005: Chevalier de l'Ordre des Palmes Académiques
  • 2012: Honorary Doctorate Universität Bremen
  • 2013: Honorary Doctorate Novosibirsk State University
  • 2019: Russian Academy of Science's Sobolev Institute of Mathematics 2019 Gold Medal for distinguished impact in mathematics as lifetime achievement

Membership in 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, since 2014
  • Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, since 2014
  • 1993-1997: Inverse Problems
  • 1993-1998: IEEE Transaction Medical Imaging
  • 1995-1997: Computing
  • 1991-2004: Surveys on Mathematics for Industry



  • DFG-Project: Combining of Image Reconstruction and Image Analysis
  • DFG-Project: Stereology for Fibrous Random Media via Numerical Inversion of Spherical Radon Transforms
  • Chinese-German Project granted by Sino-German Center for Research Promotin, Beijing

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



S V MaltsevaI 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




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.




D. HeM. JiangA. K. Louis, P. MaassT. Page:
Joint Bi-Modal Image Reconstruction Of Dot And XCT With An Extended Mumford-Shah Functional. 
ISBI 20191463-1466



E. Svetov, S. V. Maltseva, A. K. Louis: 

The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems, NUMTA (2) 2019487-494


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