• DOI:10.1002/MANA.201400147
Corpus ID: 54647495

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}
}

Astrid Kousholt, M. Kiderlen, D. Hug

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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