ON the DETERMINATION of STAR BODIES from THEIR HALF-SECTIONS

B. Rubin

doi:10.1112/S0025579316000401

ON the DETERMINATION of STAR BODIES from THEIR HALF-SECTIONS

B. Rubin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	462-468
Number of pages	7
Journal	Mathematika
Volume	63
Issue number	2
DOIs	https://doi.org/10.1112/S0025579316000401
State	Published - 2017
Externally published	Yes

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Publisher Copyright:
Copyright © University College London 2017.

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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 the determination of star bodies from the volumes of their central half-sections.",

author = "B. Rubin",

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ON the DETERMINATION of STAR BODIES from THEIR HALF-SECTIONS

Abstract

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