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- W2000551566 abstract "We consider a stationary Poisson hyperplane process with given directional distribution and intensity in d -dimensional Euclidean space. Generalizing the zero cell of such a process, we fix a convex body K and consider the intersection of all closed halfspaces bounded by hyperplanes of the process and containing K . We study how well these random polytopes approximate K (measured by the Hausdorff distance) if the intensity increases, and how this approximation depends on the directional distribution in relation to properties of K ." @default.
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- W2000551566 date "2014-12-01" @default.
- W2000551566 modified "2023-10-06" @default.
- W2000551566 title "Approximation Properties of Random Polytopes Associated with Poisson Hyperplane Processes" @default.
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- W2000551566 doi "https://doi.org/10.1017/s0001867800007485" @default.
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