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ON THE DETERMINATION OF STAR BODIES FROM THEIR HALF-SECTIONS
Published online by Cambridge University Press: 13 March 2017
Abstract
We obtain explicit inversion formulas for the Radon-like transform that assigns to a function on the unit sphere the integrals of that function over hemispheres lying in lower-dimensional central cross-sections. The results are applied to the determination of star bodies from the volumes of their central half-sections.
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- Research Article
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- Copyright © University College London 2017
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