@article{,
    author = {Alpers, Andreas; Brieden, Andreas; Gritzmann, Peter; Lyckegaard, Allan; Poulsen, Henning Friis},
    title = {Generalized power diagrams for 3D representations of polycrystals},
    editor = {},
    booktitle = {},
    series = {},
    journal = {Philosophical Magazine},
    address = {},
    publisher = {},
    edition = {},
    year = {2015},
    isbn = {},
    volume = {95},
    number =  {9},
    pages = {1016-1028},
    url = {},
    doi = {10.1080/14786435.2015.1015469},
    keywords = {},
    abstract = {Characterizing the grain structure of polycrystalline material is an important task in material science. The present paper introduces the concept of generalized balanced power diagrams as a concise alternative to voxelated mappings. Here, each grain is represented by (measured approximations of) its center-of-mass position, its volume and, if available, by its second-order moments (in the non-equiaxed case). Such parameters may be obtained from 3D x-ray diffraction. As the exact global optimum of our model results from the solution of a suitable linear program it can be computed quite efficiently. Based on verified real-world measurements we show that from the few parameters per grain (3, respectively 6 in 2D and 4, respectively 10 in 3D) we obtain excellent representations of both equiaxed and non-equiaxed structures. Hence our approach seems to capture the physical principles governing the forming of such polycrystals in the underlying process quite well. },
    note = {},
    institution = {Universität der Bundeswehr München, Fakultät für Wirtschafts- und Organisationswissenschaften, WOW 1 - Institut für Controlling, Finanz- und Risikomanagement, Professur: Brieden, Andreas},
    
    
}