2018
  • Uncertainty, Ghosts and Resolution in Radon Problems A.K. Louis To appear in Ramlau, R., Scherzer, O. (eds): The first 100 years of the Radon Transform.
  • The cone-beam transform and spherical convolution operators M. Quellmalz, R. Hielscher, A.K.Louis Inverse Problems, 34, 105006
  • 3D Compton scattering imaging and contour reconstruction for a class of Radon transforms G. Rigaud and B.N. Hahn Inverse Problems 34 (2018) 075004 (22pp)
  • A new class of very efficient algorithms for local dimming Krause, M., Riplinger, M., Louis, A.K., Xu, C. Optim Eng (2018) 19: 1
    • 2017
  • Compton Scattering Tomography: Feature Reconstruction and Rotation-Free Modality G. Rigaud SIAM J. Imaging Sci., 10(4), 2217–2249.
  • Numerical solvers based on the method of approximate inverse for 2D vector and 2-tensor tomography problems E. Derevtsov, A.K. Louis, S. Maltseva, A. Polyakova, I. Svetov Inverse Problems 33 (2017) 124001.
  • New n-dimensional reconstruction formula for flat detector geometry T. Schön, K. Dietmayer, A.K. Louis Preprint Fully 3D Conference 2017
  • Iterative Region-of-Interest Reconstruction from Limited Data Using Prior Information J. Vogelgesang, C. Schorr Sens Imaging (2017) 18:16.
  • Numerical Aspects of Cone Beam Contour Reconstruction A.K. Louis Sens Imaging (2017) 18:15.
  • Spherically symmetric volume elements as basis functions for image reconstructions in computed laminography P. Trampert, J. Vogelgesang, C. Schorr, M. Maisl, S. Bogachev, N. Marniok, A.K. Louis, T. Dahmen, P. Slusallek Journal of X-Ray Science and Technology 25 (2017) 533–546
  • On Analytical Solutions to Beam-Hardening G. Rigaud Sens Imaging (2017) 18:5.
  • Numerical rate function determination in partial differential equations modeling cell population dynamics A. Groh, H. Kohr, A.K. Louis J. Math. Biol. (2017), 74(3), 533-565.
    • 2016
  • A Semi-Discrete Landweber–Kaczmarz Method for Cone Beam Tomography and Laminography Exploiting Geometric Prior Information J. Vogelgesang, C. Schorr Sens Imaging (2016) 17:17
  • Exact cone beam reconstruction formulae for functions and their gradients for spherical and flat detectors A.K. Louis Inverse Problems 32 (2016) 115005
  • Detectable Singularities from Dynamic Radon Data B.N. Hahn, E.T. Quinto SIAM J. Imaging Sci., 9(3), 1195–1225.
  • Reflective imaging solved by the Radon transform G. Rigaud, J.-B. Bellet, G. Berginc, I. Berechet, S. Berechet IEEE Geoscience and Remote Sensing Letters, 13 (7), 2016, 936-938.
  • Null space and resolution in dynamic computerized tomography B.N. Hahn Inverse Problems 32 (2016) 025006
  • Inverse Design of Anti-Reflection Coatings using the Nonlinear Approximate Inverse M. Alakel Abazid, A. Lakhal, A.K. Louis Inverse Problems in Science and Engineering, 24(6), 917-935.
  • A Stable Numerical Algorithm for the Design of Anti-Reflection Coatings for Solar Cells Mohammad Alakel Abazid, Aref Lakhal, Alfred K. Louis Int. J. Renewable Energy Technology, 7, 97-111, 2016
    • 2015
  • A new local dimming algorithm based on the simplex method M. Riplinger, M. Krause, A.K. Louis, C. Xu Comput Optim Appl (2016) 64: 243
  • Approximate inverse and Sobolev estimates for the attenuated Radon transform G. Rigaud, A. Lakhal Inverse Problems 31 (2015) 105010
    Paper Selected in "2015 Highlights for Inverse Problems"
  • Approximate Image Reconstruction in Landscape Reflection Imaging R. Régnier, G. Rigaud, and M.K. Nguyen Mathematical Problems in Engineering, Article ID 268295
  • The method of approximate inverse in atmospheric tomography D. Gerth, B.N. Hahn, R. Ramlau Inverse Problems 31 (2015) 065002
    Paper Selected in "2015 Highlights for Inverse Problems"
  • Image and feature reconstruction for the attenuated Radon transform via circular harmonic decomposition of the kernel G. Rigaud, A. Lakhal Inverse Problems 31 (2015) 025007
  • Dynamic linear inverse problems with moderate movements of the object: Ill-posedness and regularization B. Hahn Inverse Problems and Imaging 9 (2015) 395-413
    • 2014
  • Series Expansions of the Reconstruction Kernel of the Radon Transform over a Cormack-Type Family of Curves with Applications in Tomography G. Rigaud, A. Lakhal and A.K. Louis SIAM Journal on Imaging Sciences, 7(2), 924–943.
  • Principal Component Analysis of gait in Parkinson ́s disease: relevance of gait velocity Ulrich Dillmann, Claudia Holzhoffer, Yvonne Johann, Sabrina Bechtel, Stefan Gräber, Christoph Massing, Jörg Spiegel, Stefanie Behnke, Jan Bürmann, Alfred K. Louis Gait & Posture 39 (2014) 882-887
  • Efficient algorithms for linear dynamic inverse problems with known motion B. Hahn Inverse Problems 30 (2014) 035008
    Paper Selected in "2014 Highlights for Inverse Problems"
  • Numerical inversion of the spherical Radon transform and the cosine transform using the approximate inverse with a special class of locally supported mollifiers M. Riplinger and M.Spiess Journal of Inverse and Ill-Posed Problems 22 (2014), 497–536
  • Reconstruction of dynamic objects with affine deformations in computerized tomography B. Hahn Journal of Inverse and Ill-Posed Problems 22 (2014), 323-339
    • 2013
  • Non-Destructive Testing of Anti-Reflection Coatings for Solar Cells Mohammad Alakel Abazid, Aref Lakhal, Alfred K. Louis 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 S.W. Lee, Y. Zhou, T. Zhou, M. Jiang, J. Kim, C.W. Ahn, A.K. Louis Journal of Korean Physical Society, Vol. 63, No. 11, pp. 2093 - 2097, 2013
  • On the inversion of the Radon transform on a generalized Cormack-type class of curves G. Rigaud Inverse Problems 29 (2013) 115010
  • A linear regularization scheme for inverse problems with unbounded linear operators on Banach spaces H. Kohr Inverse Problems 29 (2013) 065015
  • KAIRUAIN-algorithm applied on electromagnetic imaging Aref Lakhal Inverse Problems 29 (2013) 095001
    Paper Selected in "2013 Highlights for Inverse Problems"
  • Cone Beam Geometry for Small Objects in Phase Contrast Tomography P. Jonas and A. K. Louis Inverse Problems 29 (2013) 095013s
  • Combined Reconstruction and Edge Detection in Dimensioning B. Hahn, A. K. Louis, M. Maisl and C. Schorr: Meas. Sci. Technol. 24 (2013) 125601 (10pp)
  • Modeling and Simulation Results on a new Compton Scattering Tomography Modality G. Rigaud, M. K. Nguyen and A. K. Louis Simulation Modeling Practice and Theory (SIMPAT), 33(2013), 28-44
    • 2012
  • Reconstruction of dynamic objects in computerized tomography B. Hahn Oberwolfach Reports 9 (2012), 3069-71
  • Partial Coherence Theory for X-ray Phase Contrast Imaging Technique With Gratings Yu Zhou, Alfred K. Louis, Tie Zhou and Ming Jiang Optics Communications, 285, 4736-4774, 2012
  • Improved solution methods for an inverse problem related to a population balance model in chemical engineering A. Groh and J. Krebs Inverse Problems 28 (2012) 085006.
  • Asymptotic Properties of the A.I. Estimator for Directional Distributions M. Riplinger and M. Spiess Advances in Applied Probability, Volume 44, Number 4 (2012), 954-976
  • Reconstruction in the three-dimensional parallel scanning geometry with application in synchrotron-based x-ray tomography B. Hahn and A. K. Louis Inverse Problems 28 (2012) 045013 (19pp)
    Paper Selected in "2012 Highlights for Inverse Problems"
  • Numerical rate function determination in partial differential equations modeling cell population dynamics A. Groh submitted
  • Novel Numerical Inversions of two Circular-Arc Radon Transforms in Compton scattering tomography G. Rigaud, M. K. Nguyen and A. K. Louis Inverse Problems in Science and Engineering, 20, 809-839, 2012
    • 2011
  • Singular Value Decomposition and its Application to Numerical Inversion for Ray Transforms in 2D Vector Tomography E.Y. Derevtsov, A.V. Efimov, A.K. Louis, T. Schuster Journal of Inverse and Ill-Posed Problems 19, 689–715, 2011
  • Feature Reconstruction in Inverse Problems A. K. Louis Inverse Problems 27 (2011) 065010 (21pp)
    Paper Selected in "2011 Highlights for Inverse Problems"
  • Efficient solution of an inverse problem in cell population dynamics A.Groh, J.Krebs, M.Wagner Inverse Problems 27 (2011) 065009 (25pp)
    Paper Selected in "2011 Highlights for Inverse Problems"
  • Support vector regression for the solution of linear integral equations J.Krebs Inverse Problems 27 (2011) 065007 (23pp)
  • Circular Harmonic Decomposition Approach for Numerical Inversion of Circular Radon Transforms G. Rigaud, M.K. Nguyen and A.K. Louis 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 H. Kohr and A.K. Louis Inverse Problems 27 (2011) 045008 (20pp)
  • Inversion algorithms for the spherical Radon and cosine transform A. K. Louis, M. Riplinger, M. Spiess and E. Spodarev Inverse Problems 27 (2011) 035015 (25pp)
  • Biased three-dimensional cell migration and collagen matrix modification A. Groh, M. Wagner Mathematical Biosciences 231, 2011, 105-119
    • 2010
  • Fast and High-Quality Reconstructions in Electron Tomography H. Kohr AIP Conf. Proc., September 2010, Volume 1281, pp. 1979-1981
    ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics
  • Parameter Estimation in Population Balance Models A. Groh AIP Conf. Proc., September 2010, Volume 1281, pp. 1971-1974
    ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics
  • Calibrating local volatility in inverse option pricing using the Levenberg-Marquardt method A. Lakhal, M.M. Lakhal, A.K Louis Journal of Inverse and Ill-Posed Problems 18, 2010
  • Diffusion Reconstruction From Very Noisy Tomographic Data A.K Louis Inverse Problems and Imaging 4, 675-683, 2010
  • Extensions to the continuous ordered median problem J.Krebs, S.Nickel (Universität Karlsruhe) Mathematical Methods of Operations Research: Volume 71, Issue 2 (2010), 283-306
  • More Mathematics into Medicine! P. Deuflhard, O. Dössel, A.K. Louis, S. Zachow 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)
  • A decoupling-based imaging method for inverse medium scattering for Maxwell's equations A. Lakhal Inverse Problems 26 (2010)
    Paper Selected in "2010 Highlights for Inverse Problems"
    • 2009
  • Discrete wavelet transformation in gait analysis: comparison of methods in healthy subjects and parkinsonian patients C. Massing, C. Fehringer, A.K. Louis, Y. Johann, S. Bechtel, K. Fassbender, U. Dillmann, G. Hohenberg Movement Disorders 24, S.333
  • Gait analysis in healthy subjects and parkinsonian patients: analysis of side asymmetries C. Fehringer, C. Massing, T. Heider, G. Hohenberg, A.K. Louis, Y. Johann, U. Dillmann Movement Disorders 24, S.334
  • Stochastic modelling of biased cell migration and collagen matrix modification A. Groh and A.K. Louis Journal of Mathematical Biology 61, 617-647, 2010
  • Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization J.Krebs, A.K.Louis, H.Wendland (University of Oxford) J. Inv. Ill-Posed Problems 17 (2009), 845-869
  • Herr der Kerne -- Rechnen auf Graphikkarten mit CUDA U. Schmitt iX 4/2009, heise Zeitschriften Verlag, pp 149-151
  • Mehr Mathematik wagen in der Medizin P. Deuflhard, O. Dössel, A.K. Louis, S. Zachow 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)
    • 2008
  • An iterative regularization method for the solution of the split feasibility problem in Banach spaces. (English summary) F. Schöpfer, T. Schuster, A.K. Louis Inverse Problems, 24 (2008), no. 5, 055008, 20 pp.
  • Computer supported calculation and evaluation of BOF slag composition M Bock, AK Louis, R Müller, C. Oehler Millennium Steel MS08, S. 55-59, 2008
  • Mathematische Modellierung in der Systembiologie A. Groh, A.K. Louis, F. Weichert, T. Richards, M. Wagner Der Pathologe, 29 (2008), 135-140.
  • Signaltheoretische Analyse histologischer Daten im Ortsfrequenzraum F. Weichert, A. Groh, A. Shamaa, T. Richards, S. Awd, R. Linder, CA Landes, M. Wagner Der Pathologe, 29 (2008), 129-134.
  • Virtuelles Gewebe M. Wagner, T. Breiner, T. Betz, I. Bernhardt, N. Pütz, F. Weichert, A. Shamaa, M. Brochhausen, S. Awad, T. Richards, A. Groh, R. Linder, CA Landes Der Pathologe, 29 (2008), 123-128.
  • Image reconstruction and image analysis in tomography: fan beam and 3D cone beam A.K. Louis, T. Weber 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 T. Schuster (Universität der Bundeswehr Hamburg), D. Theis, A.K. Louis International Journal of Biomedical Imaging, 2008, Article ID 174283, 17 pages.
  • Locating radiating sources for Maxwell's equations using the approximate inverse A.Lakhal, A.K. Louis 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 F. Schöpfer, T. Schuster und A.K. Louis Journal of Inverse and Ill-Posed Problems, 16 (2008/05), 479–506
  • Computing Reconstruction Kernels for circular 3D Cone Beam Tomography A.K. Louis, T. Weber, D. Theis 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 A.K. Louis SIAM J. Imaging Sciences, 01 (2008/02), 188-208
    • 2007
  • Programmieren in C - eine mathematikorientierte Einführung R. Kirsch, U. Schmitt Springer Lehrbuch, Springer Verlag, 2007
    http://www.prog-c-math.de.
  • Computing Reconstruction Kernels for circular 3D Cone Beam Tomography A.K. Louis, D. Theis, T. Weber 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
  • Optimal reconstruction kernels in medical imaging A.K. Louis in: Optimization in Medicine
    Herausgeber: C.J.S. Alves, P.M. Paradalos, L.N. Vicente
    Springer 2007
    • 2006
  • Photorealistische Generierung histologischer und histopathologischer Schnittpräparate F. Weichert, R. Linder, CA. Landes, A. Groh, R. Wünderlich, M. Wagner Bildverarbeitung für die Medizin 2006 Algorithmen - Systeme - Anwendungen
    Proceedings des Workshops vom 19. bis 21. März 2006 in Hamburg
    Herausgegeben von Heinz Handels, Jan Ehrhardt, Alexander Horsch, Hans-Peter Meinzer und Thomas Tolxdorff
  • Neue Perspektiven des E-Learning für Blinde und hochgradig Sehbehinderte R. Linder, F. Weichert, A. Streng, A. Groh, W. Liese, T. Richards, M. Diefenbach, A. Shamaa, CJ. Menzel-Dowling, M. Wagner GMS Medizinische Informatik, Biometrie und Epidemiologie, 2 (2006), Doc18.
  • Simulating Soft Data to make Soft Data applicable to Simulation M. Wagner, M. Zamelczyk-Pajewska, C. Landes, H. Sudhoff, J. Kosmider, T. Richards, U.M. Krause, R. Stark, A. Groh, F. Weichert, R. Linder In Vivo, (Jan-Feb 2006), 20(1), pp. 49-54
  • Multiresolution 3D-Computerized Tomography and its Application to NDT S. Oeckl, T. Schön, A. Knauf, A.K. Louis 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 A.K. Louis, E. Wallacher International Journal of Biomedical Imaging 2006 (2006), Artikel ID 93074, 13 Seiten
  • Development of Algorithms in Computerized Tomography A.K. Louis 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 F. Schoepfer, A.K. Louis, Th. Schuster Inverse Problems, 22 (2006/01), 311-329
  • Error estimates for defect correction methods in Doppler tomography Th. Schuster Journal of Inverse and Ill-Posed Problems, 14 (2006/01), 83-106
    • 2005
  • PDE-based deconvolution with forward-backward diffusivities and diffusion tensors. M. Welk, D. Theis, T. Brox, J. Weickert: In R. Kimmel, N. Sochen, J. Weickert (Eds.): Scale-Space and PDE Methods in Computer Vision. Lecture Notes in Computer Science, Vol. 3459, Springer, Berlin, 585597, 2005.
  • Variational deblurring of images with uncertain and spatially variant blurs M. Welk, D. Theis, J. Weickert In W. Kropatsch, R. Sablatnig, A. Hanbury (Eds.): Pattern Recognition. Lecture Notes in Computer Science, Vol. 3663, 485-492, Springer, Berlin, 2005.
  • Defect correction in vector field tomography: detecting the potential part of a field using BEM and implementation of the method Th. Schuster Inverse Problems, 21 (2005/01), 75-91
  • On a regularization scheme for linear operators in distribution spaces with an application to the spherical radon transform Th. Schuster, E.T. Quinto SIAM Journal on Applied Mathematics, 65 (2005/04), 1369-1387
  • Filtered backprojection for thermoacoustic computed tomography in spherical geometry M. Haltmeier, Th. Schuster, O. Scherzer Mathematical Methods in the Applied Sciences, 28 (2005/16), 1919-1937
    • 2004
  • The approximate inverse in action III: 3D-Doppler tomography A. Rieder, Th. Schuster Numerische Mathematik, 97 (2004/02), 353-378
  • Two Approaches to the problem of defect correction in vector field tomography solving boundary value problems E. Yu. Derevtsov, A.K. Louis, Th. Schuster Journal of Inverse and Ill-Posed Problems, 12 (2004/05), 557-669
  • Phase Contrast Tomography using Holographic Measurements P. Jonas, A.K. Louis Inverse Problems, 20 (2004), 75-102
    • 2003
  • Spatio-Temporal Current Density Reconstruction from EEG-/MEG-Data A.K. Louis, U. Schmitt, F. Darvas, H. Buchner, M. Fuchs Mathematics - Key Technology for the Future / Ed.: Jäger, W., Krebs, H.-J.. - Berlin : Springer. 2003, 472-482
  • A stable inversion scheme for the Laplace transform using arbitrarily distributed data scanning points Th. Schuster Journal of Inverse and Ill-Posed Problems, 11 (2003/03), 263-287
  • The approximate inverse in action II: convergence and stability A. Rieder, Th. Schuster Mathematics of Computation, 72 (2003/243), 1399-1415
  • Einfluß der Landnutzung auf Hochwasserentstehung H. Abdullah, A.K. Louis Preprint
  • Brain Lesion Size and Phase Shift as an Index of Cerebral Autoregulation in Patients with Severe Head Injury O. Bianchi, S. Erülkü, M. Müller, K. Schwerdtfeger, C. Stock Acta Neurochirurgica, 145 (2003/08), 643-648
  • Changes in Linear Dynamics of Cerebrovascular System After Severe Traumatic Brain Injury M. Müller, O. Bianchi, S. Erülkü, C. Stock, K. Schwerdtfeger Stroke, 34 (2003/05), 1197-1202
  • Depth Resolved Residual Stress Evaluation from X-ray Diffraction Measure-ment Data using the Approximate Inverse Method Th. Schuster, J. Plöger, A.K. Louis Zeitschrift für METALLKUNDE, 94 (2003/08), 934-937
  • Use of metal detectors for electromagnetic induction local 3D imaging G.H. Klein, A.K. Louis, K.U. Modrich Conference Proceedings Eudem2 - SCOT2003
  • Filter design in three-dimensional cone beam tomography: circular scanning geometry A.K. Louis Inverse Problems, 19 (2003), S31-S40
    • 2002
  • A novel mollifier inversion scheme for the Laplace transform Th. Schuster Proceedings in Applied Mathematics and Mechanics, 1 (2002/01), 422-423
  • Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem E. Yu. Derevtsov, R. Dietz, A.K. Louis, Th. Schuster Journal of Inverse and Ill-Posed Problems, 8 (2002/2), 161-191
  • Efficient Algorithms for the Regularization of dynamic inverse Problems - Part II : Applications U. Schmitt, A.K. Louis, C. Wolters, M. Vaukhonen Inverse Problems, 18 (2002), 659-676
  • Efficient Algorithms for the Regularization of dynamic inverse Problems - Part I : Theory U. Schmitt, A.K. Louis Inverse Problems, 18 (2002), 645-658
  • Modelling and Simualtion in Preventive Flood Control Measures by Means of Types of Land Use H. Abdullah, A.K. Louis Preprint
  • Using rotational Invariances of Operators for the Implementation of Discrete Algorithms P. Jonas, A.K. Louis, A. Rösch Preprint
    • 2001
  • An efficient mollifier method for 3D vector tomography: Convergence analysis and implementation Th. Schuster Inverse Problems, 17 (2001/04), 739-766, Special issue of Pierre Sabatiers 65th birthday
  • A Sobolev Space Analysis of Linear Regularization Methods for Ill-Posed Problems P. Jonas, A.K. Louis Journal of Inverse and Ill-Posed Problems, 9 (2001/1), 59-74
  • Multi-parameter-fitting procedure for photothermal infrared radiometry on multi-layered and bulk-absorbing solids P. Dörr, C. Gruss Journal of Applied Physics, 89 (2001/12), 7888-7894
  • Numerical Aspects of Spatio-Temporal Current Density Reconstruktion from EEG-/ MEG Data U. Schmitt, A.K. Louis, F. Darvas, H. Buchner, M. Fuchs IEEE Transactions on Medical Imaging, 20 (2001/4), 314-324
  • Spatio-Temporal Current Density Reconstruction (stCDR) from EEG/MEG-Data F. Darvas, U. Schmitt, A.K. Louis, M. Fuchs, G. Knoll, H. Buchner Brain Topography, 13 (2001), 195-207
    • 2000
  • The approximate inverse in action with an application to computerized tomography A. Rieder, Th. Schuster SIAM Journal on Numerical Analysis, 37 (2000/06), 1909-1929
  • The 3D-Doppler transform: elementary properties and computation of reconstruction kernels Th. Schuster Inverse Problems, 16 (2000/03), 701-723
  • Approximate inverse meets local tomography Andreas Rieder, Rainer Dietz, Thomas Schuster Mathematical Methods in the Applied Sciences, 23 (2000/15), 1373-1387
  • Local Tomographic Methods in SONAR A.K. Louis, E.T. Quinto 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 P. Dörr, C. Gruss, A.K. Louis, H. Petry Mathematics - Key Technology for the Future
  • Approximate Inverse for a one dimensional Inverse Heat Conduction Problem P. Jonas, A.K. Louis Inverse Problems, 16 (2000), 175-185
    • 1999
  • A Unified Approach to Regularization Methods for Linear Ill-Posed Problems A.K. Louis Inverse Problems, 15 (1999), 489-498
  • The Approximate Inverse for Solving an Inverse Scattering Problem for Acoustic Waves in an Inhomogeneous Medium H. Abdullah, A.K. Louis Inverse Problems, 15 (1999), 1213-1230
    • 1998
  • Neuronal source reconstruction using the finite element model H. Buchner, B. Dahlmanns, M. Fuchs, G. Knoll, A.K. Louis Electroenceph clin Neurophysiol 107:45P, 1998
  • Constructing an approximate inverse for linear and some nonlinear problems in engineering A.K. Louis 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
    • 1997
  • Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography A.K. Louis 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
    • 1996
  • Approximate inverse for linear and some nonlinear problems A.K. Louis Inverse Problems, 12 (1996), 175-190
  • A novel filter design technique in 2D computerized tomography A.K. Louis, Th. Schuster Inverse Problems, 12 (1996), 685-696
  • Algorithmen für die 3D-Computer-Tomographie bei zerstörungsfreien Prüfverfahren R. Dietz, A.K. Louis 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 A.K. Louis Nonlinear Techniques in Physiological Time Series Analysis Springer, Herausgeber: H. Kuntz, J. Kurths, G. Mayer-Kress, 1996
    • 1993
  • Contour reconstruction in 3-D X-Ray CT A.K. Louis, P. Maaß IEEE Transactions on Medical Imaging, 12 (1993/4), 764-769
    • 1992
  • Parametric reconstruction of a biomagnetic imaging A.K. Louis 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 A.K. Louis Inverse Problems, 8 (1992), 709-738
    • 1991
  • Smoothed projection methods for the moment problem A.K. Louis, P. Maaß Numerische Mathematik, 59 (1991), 277-294
    • 1990
  • Eikonal Approximation in Ultrasound Computerized Tomography A.K. Louis 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 B. Eicke, A.K. Louis, R. Plato Numerische Mathematik, 58 (1990), 129-134
  • Strategies for optimized application of annular - phased array systems in clinical hyperthermia P. Deuflhard, R. Felix, F. John, A.K. Louis, J. Nadobny, P. Wust International Journal of Hyperthermia, 1990, 157-173
  • A mollifier method for linear operator equations of the first kind A.K. Louis, P. Maaß Inverse Problems, 6 (1990), 427-440
  • On the mathematical foundation of hyperthermia treatment J. Kremer, A.K. Louis Math. Meth. Appl. Sci., 13, pp. 467-479, 1990
    • 1989
  • Incomplete Data Problems in X-Ray Computerized Tomography A.K. Louis, A. Rieder Numerische Mathematik, 56 (1989), 371-383
  • Numerical Approaches to Treatment Planning in Deep RF- Hyperthemia P. Deuflhard, R. Felix, W. John, A.K. Louis, J. Nadobny, P. Wust Strahlentherapie und Onkologie, 165 (1989), 751-757