Research outputs
Selected research outputs
- On the Reconstruction of Static and Dynamic Discrete Structures (Chapter - 2018)
- ON DOUBLE-RESOLUTION IMAGING AND DISCRETE TOMOGRAPHY (Journal article - 2017)
- Generalized balanced power diagrams for 3D representations of polycrystals (Journal article - 2014)
- Measurements of 3D slip velocities and plasma column lengths of a gliding arc discharge (Journal article - 2015)
- The two-dimensional Prouhet-Tarry-Escott problem (Journal article - 2007)
2025
Ricci Curvature Tensor-Based Volumetric Segmentation
Huang, J., Chen, K., Alpers, A., & Lei, N. (2025). Ricci Curvature Tensor-Based Volumetric Segmentation. International Journal of Computer Vision. doi:10.1007/s11263-025-02492-6
2023
Dynamic grain models via fast heuristics for diagram representations
Alpers, A., Fiedler, M., Gritzmann, P., & Klemm, F. (2023). Dynamic grain models via fast heuristics for diagram representations. Philosophical Magazine, 1-21. doi:10.1080/14786435.2023.2180679
Turning Grain Maps into Diagrams
Alpers, A., Fiedler, M., Gritzmann, P., & Klemm, F. (2023). Turning Grain Maps into Diagrams. SIAM JOURNAL ON IMAGING SCIENCES, 16(1), 223-249. doi:10.1137/22M1491988
2022
2021
Christmas Power Diagram
Alpers, A., & Zhai, Y. (2021). Christmas Power Diagram [Artefact]. Hurwitz Jahrbrief 2021.
2020
Power-SLIC: Fast Superpixel Segmentations by Diagrams
Power-SLIC: Diagram-based superpixel generation
Alpers, A., & Fiedler, M. (2020). Power-SLIC: Diagram-based superpixel generation. doi:10.48550/arXiv.2012.11772
2019
13. On the reconstruction of static and dynamic discrete structures
Alpers, A., & Gritzmann, P. (2019). 13. On the reconstruction of static and dynamic discrete structures. In The Radon Transform (pp. 297-342). De Gruyter. doi:10.1515/9783110560855-013
2018
On the Reconstruction of Static and Dynamic Discrete Structures
On the Reconstruction of Static and Dynamic Discrete Structures
Alpers, A., & Gritzmann, P. (2018). On the Reconstruction of Static and Dynamic Discrete Structures. Retrieved from http://arxiv.org/abs/1809.06141v1
Habilitation Thesis: On the Tomography of Discrete Structures: Mathematics, Complexity, Algorithms, and its Applications in Materials Science and Plasma Physics
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).
2017
Dynamic Discrete Tomography
Dynamic discrete tomography
Alpers, A., & Gritzmann, P. (2018). Dynamic discrete tomography. INVERSE PROBLEMS, 34(3). doi:10.1088/1361-6420/aaa202
Reconstructing Binary Matrices underWindow Constraints from their Row and Column Sums
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
Reconstructing binary matrices under window constraints from their row and column sums
ON DOUBLE-RESOLUTION IMAGING AND DISCRETE TOMOGRAPHY
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
On double-resolution imaging and discrete tomography
2015
Measurements of 3D slip velocities and plasma column lengths of a gliding arc discharge
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
2014
The Smallest Sets of Points not Determined by Their X-rays
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
Generalized balanced power diagrams for 3D representations of polycrystals
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
Generalized balanced power diagrams for 3D representations of polycrystals
Calendar Image, 1 of 12 winners of the image competition for the German Research Foundation (DFG) Calendar 2014
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
3D particle tracking velocimetry using dynamic discrete tomography
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
3D particle tracking velocimetry using dynamic discrete tomography
2012
Geometric reconstruction methods for electron tomography
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
2011
Reconstruction of an InAs nanowire using geometric and algebraic tomography
Pennington, R. S., Koenig, S., Alpers, A., Boothroyd, C. B., & Dunin-Borkowski, R. E. (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
2010
Phase retrieval for superposed signals from multiple binary objects
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
3D Grain Reconstruction from Boxscan Data
Lyckegaard, A., Alpers, A., Ludwig, W., Fonda, R. W., Margulies, L., Goetz, A., . . . Lauridsen, E. M. (2010). 3D Grain Reconstruction from Boxscan Data. Defense Technical Information Center. doi:10.21236/ada530190
2009
A GREEDY METHOD FOR RECONSTRUCTING POLYCRYSTALS FROM THREE-DIMENSIONAL X-RAY DIFFRACTION DATA
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
3DXRD and TotalCryst Geometry
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
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
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
2007
Stability results for the reconstruction of binary pictures from two projections
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
The two-dimensional Prouhet-Tarry-Escott problem
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
Discrete Tomography for Generating Grain Maps of Polycrystals
Alpers, A., Rodek, L., Poulsen, H. F., Knudsen, E., & Herman, G. T. (2007). Discrete Tomography for Generating Grain Maps of Polycrystals. In ADVANCES IN DISCRETE TOMOGRAPHY AND ITS APPLICATIONS (pp. 271-301). doi:10.1007/978-0-8176-4543-4_13
2006
On stability, error correction, and noise compensation in discrete tomography
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
A discrete tomography algorithm for improving the quality of three-dimensional X-ray diffraction grain maps
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
2005
Resolving Ambiguities in Reconstructed Grain Maps using Discrete Tomography
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
On the stability of reconstructing lattice sets from X-rays along two directions
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 https://www.webofscience.com/
2003
Instability and Stability in Discrete Tomography
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
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
2001
Stability and Instability in Discrete Tomography
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