An Inversion Formula for Horizontal Conical Radon Transform

2019/08/22 by Nguyen, Duy N., Nguyen, Linh V.
#00A69 #44A12 #97M50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.08255

Abstract

In this paper, we consider the conical Radon transform on all cones with horizontal central axis whose vertices are on a straight line. We derive an explicit inversion formula for such transform. The inversion makes use of the vertical slice transform on a sphere and V-line transform on a plane.

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