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Local Stereology of Tensors of Convex Bodies

Jensen, Eva ; Ziegel, Johanna

In: Methodology and Computing in Applied Probability, 2014, vol. 16, no. 2, p. 263-282

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    Titre
    • Local Stereology of Tensors of Convex Bodies
    Auteur
    • Jensen, Eva. Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark
    • Ziegel, Johanna. Department of Mathematics and Statistics, Institute of Mathematical Statistics and Acturarial Science, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Methodology and Computing in Applied Probability, 2014, vol. 16, no. 2, p. 263-282. Springer US; http://www.springer-ny.com
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:325523
    Summary
    In this paper, we present local stereological estimators of Minkowski tensors defined on convex bodies in ℝ d . Special cases cover a number of well-known local stereological estimators of volume and surface area in ℝ3, 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.