Surface tensor estimation from linear sections

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Abstract

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.
OriginalsprogEngelsk
TidsskriftMathematische Nachrichten
Vol/bind288
Nummer14-15
Sider (fra-til)1647-1672
Antal sider26
ISSN0025-584X
DOI
StatusUdgivet - 2015

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