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The Hausdorff distance between compact convex sets
Published online by Cambridge University Press: 26 February 2010
Abstract
It is shown that every compact convex set in with mean width equal to that of a line segment of length 2 and with Steiner point at the origin is contained in the unit ball. As a consequence, the diameter with respect to the Hausdorff metric of the space of all such sets is 1. There also results a sharp bound for the Hausdorff distance between any two compact convex sets.
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- Research Article
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- Copyright © University College London 1984
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