Local Stereology of Tensors of Convex Bodies |
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Authors: | Eva B Vedel Jensen Johanna F Ziegel |
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Institution: | 1. Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark 2. Department of Mathematics and Statistics, Institute of Mathematical Statistics and Acturarial Science, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
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Abstract: | In this paper, we present local stereological estimators of Minkowski tensors defined on convex bodies in ? d . Special cases cover a number of well-known local stereological estimators of volume and surface area in ?3, but the general set-up also provides new local stereological estimators of various types of centres of gravity and tensors of rank two. Rank two tensors can be represented as ellipsoids and contain information about shape and orientation. The performance of some of the estimators of centres of gravity and volume tensors of rank two is investigated by simulation. |
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