Local digital algorithms for estimating the mean integrated curvature of r-regular sets

Publikation: Working paperForskning

98 Downloads (Pure)

Abstrakt

Consider the design based situation where an r-regular set is sampled on a random lattice. A fast algorithm for estimating the integrated mean curvature based on this observation is to use a weighted sum of 2×⋯×2 configuration counts. We show that for a randomly translated lattice, no asymptotically unbiased estimator of this type exists in dimension greater than or equal to three, while for stationary isotropic lattices, asymptotically unbiased estimators are plenty. Both results follow from a general formula that we state and prove, describing the asymptotic behavior of hit-or-miss transforms of r-regular sets.
OriginalsprogEngelsk
UdgiverCentre for Stochastic Geometry and Advanced Bioimaging, Aarhus University
Antal sider28
StatusUdgivet - 2012
Udgivet eksterntJa
NavnCSGB Research Reports
Nummer08

Fingeraftryk

Dyk ned i forskningsemnerne om 'Local digital algorithms for estimating the mean integrated curvature of r-regular sets'. Sammen danner de et unikt fingeraftryk.

Citationsformater