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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