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Estimation of intrinsic volumes via parallel sets in plane and space

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A new method of estimation of intrinsic volumes densities for a stationary random closed set Ξ in Rd with values in the extended convex ring is introduced. The local Steiner formula is applied to the closure of the complement of the parallel set to Ξ for n>d different radii and, by solving a linear regression model, estimates of the intrinsic volume densities of the parallel set are[...]

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