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Comparison of two global digital algorithms for Minkowski tensor estimation

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The geometry of real world objects can be described by Minkowski tensors. Algorithms have been suggested to approximate Minkowski tensors if only a binary image of the object is available. This paper presents implementations of two such algorithms. The theoretical convergence properties are confirmed by simulations on test sets, and recommendations for input arguments of the algorithms are given. For increasing resolutions, we obtain more accurate estimators for the Minkowski tensors. Digitisations of more complicated objects are shown to require higher resolutions.
Translated title of the contributionSammenligning af to globale digitale algoritmer til estimering af Minkowski-tensorer
Original languageEnglish
PublisherCentre for Stochastic Geometry and advanced Bioimaging, Aarhus University
Number of pages27
Publication statusPublished - 2016
SeriesCSGB Research Reports

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