# Surface tensor estimation from linear sections

@article{Kousholt2014SurfaceTE,
title={Surface tensor estimation from linear sections},
author={Astrid Kousholt and M. Kiderlen and D. Hug},
journal={Mathematische Nachrichten},
year={2014},
volume={288},
pages={1647-1672}
}
• Published 2014
• Mathematics
• Mathematische Nachrichten
• From Crofton's formula for Minkowski tensors we derive stereological estimators of translation invariant surface tensors of convex bodies in the n-dimensional Euclidean space. The estimators are based on one-dimensional linear sections. In a design based setting we suggest three types of estimators. These are based on isotropic uniform random lines, vertical sections, and non-isotropic random lines, respectively. Further, we derive estimators of the specific surface tensors associated with a… CONTINUE READING
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