Estimation of intrinsic volumes from digital grey-scale images

Publikation: Working paperForskning

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Local algorithms are common tools for estimating intrinsic volumes from black-and-white digital images. However, these algorithms are typically biased in the design based setting, even when the resolution tends to infinity. Moreover, images recorded in practice are most often blurred grey-scale images rather than black-and-white. In this paper, an extended definition of local algorithms, applying directly to grey-scale images without thresholding, is suggested. We investigate the asymptotics of these new algorithms when the resolution tends to infinity and apply this to construct estimators for surface area and integrated mean curvature that are asymptotically unbiased in certain natural settings.
UdgiverCentre for Stochastic Geometry and Advanced Bioimaging, Aarhus University
Antal sider34
StatusUdgivet - 2013
Udgivet eksterntJa
NavnCSGB Research Reports