Mean covariogram of cylinders and applications to Boolean random sets

Abstract : This work focuses on the variance properties of isotropic Boolean random sets containing randomly-oriented cylinders with circular cross-section. Emphasis is put on cylinders with large aspect ratios, of the oblate and prolate types. A link is established between the powerlaw decay of the covariance function and the variance of the estimates of the volume fraction of cylinders. The covariance and integral range of the Boolean mixtures are expressed in terms of the orientation-averaged covari-ogram of cylinders, for which exact analytical formulas and approximate expressions are provided.
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Submitted on : Tuesday, November 6, 2018 - 10:53:44 PM
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  • HAL Id : hal-01678545, version 2

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François Willot. Mean covariogram of cylinders and applications to Boolean random sets. Journal of Contemporary Mathematical Analysis, 2017, 52 (6), pp.305-315. ⟨hal-01678545v2⟩

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