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Surface tensor estimation from linear sections
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Astrid Kousholt
Surface tensor estimation from linear sections
Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
DOI
- https://doi.org/10.1002/mana.201400147
Forlagets udgivne version
- Astrid Kousholt
- Markus Kiderlen
- Daniel Hug, Karlsruhe Institute of Technology, Danmark
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 stationary process of convex particles in the model based setting.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Mathematische Nachrichten |
| Vol/bind | 288 |
| Nummer | 14-15 |
| Sider (fra-til) | 1647-1672 |
| Antal sider | 26 |
| ISSN | 0025-584X |
| DOI | |
| Status | Udgivet - 2015 |
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