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COVARIOGRAM OF NON-CONVEX SETS
Published online by Cambridge University Press: 21 June 2010
Abstract
The covariogram of a compact set A⊂ℝn is the function that to each x∈ℝn associates the volume of A∩(A+x). Recently it has been proved that the covariogram determines any planar convex body, in the class of all convex bodies. We extend the class of sets in which a planar convex body is determined by its covariogram. Moreover, we prove that there is no pair of non-congruent planar polyominoes consisting of less than nine points that have equal discrete covariograms.
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- Copyright © University College London 2010
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