Estimation of Minkowski tensors from digital grey-scale images

Publikation: Working paperForskning

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Abstrakt

It has been shown that local algorithms based on grey-scale images sometimes lead to asymptotically unbiased estimators for surface area and integrated mean curvature. This paper extends the results to estimators for Minkowski tensors. In particular, asymptotically unbiased local algorithms for estimation of all volume and surface tensors and certain mean curvature tensors are given. This requires an extension of the known asymptotic formulas to estimators with position dependent weights.
OriginalsprogEngelsk
UdgiverCentre for Stochastic Geometry and Advanced Bioimaging, Aarhus University
Antal sider16
StatusUdgivet - 2014
Udgivet eksterntJa
NavnCSGB Research Reports
Nummer04

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