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Andreas Alpers - Publications

Research interests

Discrete Inverse Problems, Discrete and Geometric Tomography, Mathematical Image Analysis, Combinatorial Optimization, Number Theory

Principal investigator

DFG Research Grant (jointly with P. Gritzmann): "Geometric Reconstruction in Refraction- and Diffraction-based Tomography"

Publications in refereed journals and books (Click here for google scholar citations)

  • A. Alpers, R.J. Gardner, S. König, R.S. Pennington, C.B. Boothroyd, L. Houben, R.E. Dunin-Borkowski, K.J. Batenburg: "Geometric Reconstruction Methods for Electron Tomography," Ultramicroscopy, 128 (C), pp. 42--54, 2013 (download publication [arXiv], link to journal).
  • A. Alpers, G.T. Herman, H.F. Poulsen, S. Schmidt: "Phase Retrieval for Superposed Signals from Multiple Binary Objects," Journal of the Optical Society of America A, 27 (9), pp. 1927--1937, 2010 (download publication [PDF], link to journal).

  • A. Alpers, L.E. Trotter: "Teaching Computational Discrete Optimization at the Undergraduate Level," INFORMS Transactions on Education, 9 (2), pp. 63--69, 2009 (link to open access journal version).

  • A.K. Kulshreshth, A. Alpers, G.T. Herman, E. Knudsen, L. Rodek, H.F. Poulsen: "A Greedy Method for Reconstructing Polycrystals from Three-Dimensional X-ray Diffraction Data," Inverse Problems and Imaging, 3 (1), pp. 69--85, 2009 (download publication [PDF], link to journal).

  • A. Alpers, L. Rodek, H.F. Poulsen, E. Knudsen, G.T. Herman: "Discrete Tomography for Generating Grain Maps of Polycrystals," Chapter 13 in the book: G.T. Herman and A. Kuba, eds., Advances in Discrete Tomography and Its Applications, pp. 271--301, Birkhäuser, 2007 (request a copy).  

  • A. Alpers, S. Brunetti: "Stability Results for the Reconstruction of Binary Pictures from Two Projections," Image and Vision Computing, 25 (10), pp. 1599--1608, 2007 (download publication [PDF], link to journal).

  • A. Alpers, R. Tijdeman: "The Two-Dimensional Prouhet-Tarry-Escott Problem," Journal of Number Theory, 123 (2), pp. 403--412, 2007 (download publication [PDF], link to journal).

  • A. Alpers, P. Gritzmann: "On Stability, Error Correction, and Noise Compensation in Discrete Tomography," SIAM Journal on Discrete Mathematics, 20 (1), pp. 227--239, 2006 (download publication [PDF], link to journal).

  • A. Alpers, H.F. Poulsen, E. Knudsen, G.T. Herman: "A Discrete Tomography Algorithm for Improving the Quality of 3DXRD Grain Maps," Journal of Applied Crystallography, 39 (4), pp. 582--588, 2006 (download publication [PDF], link to journal).

  • A. Alpers, E. Knudsen, H.F. Poulsen, G.T. Herman: "Resolving Ambiguities in Reconstructed Grain Maps using Discrete Tomography," Electronic Notes in Discrete Mathematics, 20 (1), pp. 419--437, 2005 (download publication [PDF], link to journal).

  • A. Alpers, S. Brunetti: "On the Stability of Reconstructing Lattice Sets from X-rays Along Two Directions," Lecture Notes in Computer Science 3429; Digital Geometry for Computer Imagery,  E. Andres, G. Damiand, P. Lienhardt (Eds.) , pp. 92--103, Springer, 2005 (download publication [PDF], link to journal).

  • A. Alpers: "Instability and Stability in Discrete Tomography," Dissertation, Technische Universität München, 2003, Shaker Verlag, ISBN 3-8322-2355-X (available from the Shaker server, or request a copy).

  • A. Alpers: "Digital Topology: Regular Sets and Root Images of the Cross-Median Filter," Journal of Mathematical Imaging and Vision, 17 (1), pp. 7--14, 2002 (download publication [PDF], link to journal).

  • A. Alpers, P. Gritzmann, L. Thorens: "Stability and Instability in Discrete Tomography," Lecture Notes in Computer Science 2243; Digital and Image Geometry (Advanced Lectures), G. Bertrand, A. Imiya, R. Klette (Eds.), pp. 175--186, Springer, 2001 (download publication [PDF], link to journal).
  • Publications in refereed conference proceedings

  • R.S. Pennington, S. König, A. Alpers, C.B. Boothroyd, R.E. Dunin-Borkowski: "Reconstruction of an InAs Nanowire using Geometric and Algebraic Tomography," Journal of Physics: Conference Series, 326, 012045 (4 pp.), 2011 (download publication [PDF], link to journal).
  • A. Lyckegaard, A. Alpers, W. Ludwig, R.W. Fonda, L. Margulies, A. Götz, H.O. Sørensen, S.R. Deyk, H.F. Poulsen, E.M. Lauridsen: "3D Grain Reconstruction from Boxscan Data," Proceedings of the 31st Risø International Symposium on Materials Science: Challenges in materials science and possibilities in 3D and 4D characterization techniques, pp. 329--336, 2010 (download publication [PDF]).
  • Other publications (submitted, preprints, technical reports, extended abstracts, selected posters)

  • A. Alpers, D.G. Larman: "The smallest sets of points not determined by their X-rays," submitted, June 2014 (download preprint [arXiv]).
  • A. Alpers, P. Gritzmann, D. Moseev, M. Salewski: "3D Particle Tracking Velocimetry using Dynamic Discrete Tomography," submitted, July 2013 (download preprint [arXiv]).
  • M. Beleggia, A. Alpers, T. Kasama, H.F. Poulsen, C. Frandsen, M. Varón Izquierdo, V. Puntes, R.E. Dunin-Borowski: "Quantitative Magnetization States of Collodial Systems via Simplified-LLG and Model-based Fitting of Phase Images," 2nd International Symposium on Advanced Microscopy and Theoretical Calculations (AMTC2), Nagoya, Japan, 24-26 June 2010 (download poster [PDF]), (poster).
  • H.F. Poulsen, S. Schmidt, J. Wright, H.O. Sørensen, J. Oddershede, A. Alpers: "3DXRD and TotalCryst Geometry," SourceForge, 2009  (download publication [PDF], link to FABLE website), (technical report).  
  • A. Alpers: "A Short Introduction to Tomographic Grain Map Reconstruction," Pure Mathematics and Applications. PU.M.A., 20 (1-2), pp. 157--163, 2009  (download publication [PDF], link to journal), (extended abstract).  

  • A. Alpers, P. Gritzmann: "Dynamic Discrete Tomography," (in preparation).

  • A. Alpers, A. Brieden, P. Gritzmann, A. Lyckegaard, H.F. Poulsen: "Generalized power diagrams for 3D representations of polycrystals," (in preparation).

  • A. Alpers, P. Gritzmann: "On the Degree of Ill-Posedness in Discrete Tomography," (preprint).

  • A. Alpers, L.E. Trotter: "New Facets for the Feasible Subsystem Polytope," (preprint).
  • Topic revision: r213 - 12 Sep 2014 - 17:36:12 - AndreasAlpers
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