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arXiv · 1609.02205

On the Determination of Star Bodies from Their Half-Sections

Boris Rubin
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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 determination of star bodies from the volumes of their central half-sections.

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Boris Rubin. 2016-09-07. On the Determination of Star Bodies from Their Half-Sections. https://doi.org/10.1112/s0025579316000401

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