On Infinitesimal Increase of Volumes of Morphological Transforms

DOI10.1112/S002557930000005XzbMath1117.28002MaRDI QIDQ3433995

Jan Rataj, Markus Kiderlen

Publication date: 23 April 2007

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Length, area, volume, other geometric measure theory (28A75)

Related Items (15)

Valuations in Image Analysis ⋮ Local digital algorithms for estimating the integrated mean curvature of \(r\)-regular sets ⋮ Asymptotic variance of grey-scale surface area estimators ⋮ Multiple-point hit distribution functions and vague convergence of related measures ⋮ Outer Minkowski content for some classes of closed sets ⋮ On multigrid convergence of local algorithms for intrinsic volumes ⋮ Estimation of intrinsic volumes from digital grey-scale images ⋮ Local Digital Estimators of Intrinsic Volumes for Boolean Models and in the Design-Based Setting ⋮ Local Digital Algorithms Applied to Boolean Models ⋮ Asymptotic theory for statistics of the Poisson-Voronoi approximation ⋮ Dilation volumes of sets of finite perimeter ⋮ Variances of surface area estimators based on pixel configuration counts ⋮ Facial structure of strongly convex sets generated by random samples ⋮ On the convex hull of symmetric stable processes ⋮ A LIMITATION OF THE ESTIMATION OF INTRINSIC VOLUMES VIA PIXEL CONFIGURATION COUNTS

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