Asymptotic variance of grey-scale surface area estimators

DOI10.1016/j.aam.2014.09.006zbMath1395.62183arXiv1401.0808OpenAlexW2019347185MaRDI QIDQ472923

Anne Marie Svane

Publication date: 20 November 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0808

zbMATH Keywords

variancesurface arealattice sumFourier integralgrey-scale image

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Image analysis in multivariate analysis (62H35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (2)

Valuations in Image Analysis ⋮ Variances of surface area estimators based on pixel configuration counts

Cites Work

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• Fourier transforms related to convex sets
• Sharp rate of average decay of the Fourier transform of a bounded set
• On multigrid convergence of local algorithms for intrinsic volumes
• Estimation of intrinsic volumes from digital grey-scale images
• Über Integrale auf konvexen Körpern. I, II
• On Infinitesimal Increase of Volumes of Morphological Transforms
• What Can We Learn from Discrete Images about the Continuous World?
• ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
• ON THE NUMBER OF POINTS OF A GIVEN LATTICE IN A RANDOM HYPERSPHERE

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