ON the DETERMINATION of STAR BODIES from THEIR HALF-SECTIONS

Authors

B. Rubin, Louisiana State University

Document Type

Article

Publication Date

1-1-2017

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.

Publication Source (Journal or Book title)

Mathematika

First Page

462

Last Page

468

Recommended Citation

Rubin, B. (2017). ON the DETERMINATION of STAR BODIES from THEIR HALF-SECTIONS. Mathematika, 63 (2), 462-468. https://doi.org/10.1112/S0025579316000401