Photo of Dr Andreas Alpers

Dr Andreas Alpers Dr. habil.

Lecturer Mathematical Sciences

    Publications

    Selected Publications

    1. On the Reconstruction of Static and Dynamic Discrete Structures (Chapter - 2019)
    2. ON DOUBLE-RESOLUTION IMAGING AND DISCRETE TOMOGRAPHY (Journal article - 2018)
    3. Generalized balanced power diagrams for 3D representations of polycrystals (Journal article - 2015)
    4. Measurements of 3D slip velocities and plasma column lengths of a gliding arc discharge (Journal article - 2015)
    5. The two-dimensional Prouhet-Tarry-Escott problem (Journal article - 2007)

    2020

    Power-SLIC: Diagram-based superpixel generation (Internet publication)

    Fiedler, M., & Alpers, A. (n.d.). Power-SLIC: Diagram-based superpixel generation. Retrieved from http://arxiv.org/abs/2012.11772v1

    2019

    On the Reconstruction of Static and Dynamic Discrete Structures (Chapter)

    Alpers, A., & Gritzmann, P. (n.d.). On the Reconstruction of Static and Dynamic Discrete Structures. Retrieved from http://arxiv.org/abs/1809.06141v1

    2018

    Dynamic discrete tomography (Journal article)

    Alpers, A., & Gritzmann, P. (2018). Dynamic discrete tomography. INVERSE PROBLEMS, 34(3). doi:10.1088/1361-6420/aaa202

    DOI: 10.1088/1361-6420/aaa202

    Habilitation Thesis: On the Tomography of Discrete Structures: Mathematics, Complexity, Algorithms, and its Applications in Materials Science and Plasma Physics (Thesis / Dissertation)

    Alpers, A. (2018). Habilitation Thesis: On the Tomography of Discrete Structures: Mathematics, Complexity, Algorithms, and its Applications in Materials Science and Plasma Physics. (PhD Thesis, Technical University of Munich).

    ON DOUBLE-RESOLUTION IMAGING AND DISCRETE TOMOGRAPHY (Journal article)

    Alpers, A., & Gritzmann, P. (2018). ON DOUBLE-RESOLUTION IMAGING AND DISCRETE TOMOGRAPHY. SIAM JOURNAL ON DISCRETE MATHEMATICS, 32(2), 1369-1399. doi:10.1137/17M1115629

    DOI: 10.1137/17M1115629

    2017

    Reconstructing Binary Matrices underWindow Constraints from their Row and Column Sums (Journal article)

    Alpers, A., & Gritzmann, P. (2017). Reconstructing Binary Matrices underWindow Constraints from their Row and Column Sums. FUNDAMENTA INFORMATICAE, 155(4), 321-340. doi:10.3233/FI-2017-1588

    DOI: 10.3233/FI-2017-1588

    2015

    Generalized balanced power diagrams for 3D representations of polycrystals (Journal article)

    Alpers, A., Brieden, A., Gritzmann, P., Lyckegaard, A., & Poulsen, H. F. (2015). Generalized balanced power diagrams for 3D representations of polycrystals. PHILOSOPHICAL MAGAZINE, 95(9), 1016-1028. doi:10.1080/14786435.2015.1015469

    DOI: 10.1080/14786435.2015.1015469

    Measurements of 3D slip velocities and plasma column lengths of a gliding arc discharge (Journal article)

    Zhu, J., Gao, J., Ehn, A., Alden, M., Li, Z., Moseev, D., . . . Schwenk, M. (2015). Measurements of 3D slip velocities and plasma column lengths of a gliding arc discharge. APPLIED PHYSICS LETTERS, 106(4). doi:10.1063/1.4906928

    DOI: 10.1063/1.4906928

    3D particle tracking velocimetry using dynamic discrete tomography (Journal article)

    Alpers, A., Gritzmann, P., Moseev, D., & Salewski, M. (2015). 3D particle tracking velocimetry using dynamic discrete tomography. COMPUTER PHYSICS COMMUNICATIONS, 187, 130-136. doi:10.1016/j.cpc.2014.10.022

    DOI: 10.1016/j.cpc.2014.10.022

    2014

    The Smallest Sets of Points not Determined by Their X-rays (Journal article)

    Alpers, A., & Larman, D. G. (2014). The Smallest Sets of Points not Determined by Their X-rays. Bulletin of the London Mathematical Society, 47(1), 171-176. doi:10.1112/blms/bdu111

    DOI: 10.1112/blms/bdu111

    Calendar Image, 1 of 12 winners of the image competition for the German Research Foundation (DFG) Calendar 2014 (Other)

    Alpers, A., Gritzmann, P., & support, S. F. (2014). Calendar Image, 1 of 12 winners of the image competition for the German Research Foundation (DFG) Calendar 2014. [Mathematical artwork, DFG].

    2013

    Geometric reconstruction methods for electron tomography (Journal article)

    Alpers, A., Gardner, R. J., Koenig, S., Pennington, R. S., Boothroyd, C. B., Houben, L., . . . Batenburg, K. J. (2013). Geometric reconstruction methods for electron tomography. ULTRAMICROSCOPY, 128, 42-54. doi:10.1016/j.ultramic.2013.01.002

    DOI: 10.1016/j.ultramic.2013.01.002

    2011

    Reconstruction of an InAs nanowire using geometric and algebraic tomography (Conference Paper)

    Pennington, R. S., Koenig, S., Alpers, A., Boothroyd, C. B., Dunin-Borkowski, R. E., & IOP. (2011). Reconstruction of an InAs nanowire using geometric and algebraic tomography. In 17TH INTERNATIONAL CONFERENCE ON MICROSCOPY OF SEMICONDUCTING MATERIALS 2011 Vol. 326. doi:10.1088/1742-6596/326/1/012045

    DOI: 10.1088/1742-6596/326/1/012045

    2010

    Phase retrieval for superposed signals from multiple binary objects (Journal article)

    Alpers, A., Herman, G. T., Poulsen, H. F., & Schmidt, S. (2010). Phase retrieval for superposed signals from multiple binary objects. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 27(9), 1927-1937. doi:10.1364/JOSAA.27.001927

    DOI: 10.1364/JOSAA.27.001927

    3D grain reconstruction from boxscan data (Conference Paper)

    Lyckegaard, A., Alpers, A., Ludwig, W., Fonda, R. W., Margulies, L., Götz, A., . . . Lauridsen, E. M. (2010). 3D grain reconstruction from boxscan data. In Proceedings of the 31th Risø International Symposium on Materials Science: “Challenges in materials science and possibilities in 3D and 4D characterization techniques” (pp. 329-336).

    2009

    A GREEDY METHOD FOR RECONSTRUCTING POLYCRYSTALS FROM THREE-DIMENSIONAL X-RAY DIFFRACTION DATA (Journal article)

    Kulshreshth, A. K., Alpers, A., Herman, G. T., Knudsen, E., Rodek, L., & Poulsen, H. F. (2009). A GREEDY METHOD FOR RECONSTRUCTING POLYCRYSTALS FROM THREE-DIMENSIONAL X-RAY DIFFRACTION DATA. INVERSE PROBLEMS AND IMAGING, 3(1), 69-85. doi:10.3934/ipi.2009.3.69

    DOI: 10.3934/ipi.2009.3.69

    3DXRD and TotalCryst Geometry (Report)

    Poulsen, H. F., Schmidt, S., Wright, J., Sørensen, H. O., Oddershede, J., & Alpers, A. (2009). 3DXRD and TotalCryst Geometry. SourceForge.

    A short introduction to tomographic grain map reconstruction (Conference Paper)

    Alpers, A. (2009). A short introduction to tomographic grain map reconstruction. In Pure Mathematics and Applications, PU.M.A. Vol. 20 (pp. 157-163). Retrieved from http://puma.dimai.unifi.it/20_1_2/10_Alpers_7.pdf

    Teaching Computational Discrete Optimization at the Undergraduate Level (Journal article)

    Alpers, A., & Trotter, L. E. (2009). Teaching Computational Discrete Optimization at the Undergraduate Level. INFORMS Transactions on Education, 9(2), 63-69. doi:10.1287/ited.1090.0020

    DOI: 10.1287/ited.1090.0020

    2007

    Stability results for the reconstruction of binary pictures from two projections (Journal article)

    Alpers, A., & Brunetti, S. (2007). Stability results for the reconstruction of binary pictures from two projections. IMAGE AND VISION COMPUTING, 25(10), 1599-1608. doi:10.1016/j.imavis.2006.06.014

    DOI: 10.1016/j.imavis.2006.06.014

    The two-dimensional Prouhet-Tarry-Escott problem (Journal article)

    Alpers, A., & Tijdeman, R. (2007). The two-dimensional Prouhet-Tarry-Escott problem. JOURNAL OF NUMBER THEORY, 123(2), 403-412. doi:10.1016/j.jnt.2006.07.001

    DOI: 10.1016/j.jnt.2006.07.001

    Discrete Tomography for Generating Grain Maps of Polycrystals (Chapter)

    Alpers, A., Rodek, L., Poulsen, H. F., Knudsen, E., & Herman, G. T. (n.d.). Discrete Tomography for Generating Grain Maps of Polycrystals. In Advances in Discrete Tomography and Its Applications (pp. 271-301). Birkhäuser Boston. doi:10.1007/978-0-8176-4543-4_13

    DOI: 10.1007/978-0-8176-4543-4_13

    2006

    On stability, error correction, and noise compensation in discrete tomography (Journal article)

    Alpers, A., & Gritzmann, P. (2006). On stability, error correction, and noise compensation in discrete tomography. SIAM JOURNAL ON DISCRETE MATHEMATICS, 20(1), 227-239. doi:10.1137/040617443

    DOI: 10.1137/040617443

    A discrete tomography algorithm for improving the quality of three-dimensional X-ray diffraction grain maps (Journal article)

    Alpers, A., Poulsen, H. F., Knudsen, E., & Herman, G. T. (2006). A discrete tomography algorithm for improving the quality of three-dimensional X-ray diffraction grain maps. JOURNAL OF APPLIED CRYSTALLOGRAPHY, 39, 582-588. doi:10.1107/S002188980601939X

    DOI: 10.1107/S002188980601939X

    2005

    Resolving Ambiguities in Reconstructed Grain Maps using Discrete Tomography (Journal article)

    Alpers, A., Knudsen, E., Poulsen, H. F., & Herman, G. T. (2005). Resolving Ambiguities in Reconstructed Grain Maps using Discrete Tomography. Electronic Notes in Discrete Mathematics, 20, 419-437. doi:10.1016/j.endm.2005.05.076

    DOI: 10.1016/j.endm.2005.05.076

    On the stability of reconstructing lattice sets from X-rays along two directions (Journal article)

    Alpers, A., & Brunetti, S. (2005). On the stability of reconstructing lattice sets from X-rays along two directions. DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS, 3429, 92-103. Retrieved from http://gateway.webofknowledge.com/

    2003

    Instability and Stability in Discrete Tomography (Thesis / Dissertation)

    Alpers, A. (2003). Instability and Stability in Discrete Tomography. (PhD Thesis, Technical University of Munich).

    2002

    Digital topology: Regular sets and root images of the cross-median filter (Journal article)

    Alpers, A. (2002). Digital topology: Regular sets and root images of the cross-median filter. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 17(1), 7-14. doi:10.1023/A:1020766406935

    DOI: 10.1023/A:1020766406935

    2001

    Stability and Instability in Discrete Tomography (Journal article)

    Alpers, A., Gritzmann, P., & Thorens, L. (2001). Stability and Instability in Discrete Tomography. Unknown Journal, 175-186. doi:10.1007/3-540-45576-0_11

    DOI: 10.1007/3-540-45576-0_11