On the Determination of Star Bodies from Their Half-Sections
arXiv:1609.02205 · doi:10.1112/S0025579316000401
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.
7 pages