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Surface tensor estimation from linear sections

Publikation: Working paperForskning

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  • Astrid Kousholt, Danmark
  • Markus Kiderlen
  • Daniel Hug, Department of Mathematics, Karlsruhe Institute of Technology (KIT)
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
UdgiverCentre for Stochastic Geometry and advanced Bioimaging, Aarhus University
Antal sider31
StatusUdgivet - 2014
SerietitelCSGB Research Reports
Nummer07

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