An inversion formula for the horizontal conical Radon transform

被引：0
作者：
Duy N. Nguyen
Linh V. Nguyen
机构：
[1] High School for the Gifted,Department of Mathematics
[2] University of Idaho,Faculty of Information Technology
[3] Industrial University of Ho Chi Minh City,undefined
来源：
Analysis and Mathematical Physics | 2021年 / 11卷
关键词：
Conical Radon transform; Ray transform; Vertical slice transform; V-line transform; Compton camera imaging; 00A69; 44A12; 97M50;
D O I：
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摘要：
In this paper, we consider the conical Radon transform on all one-sided circular cones in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{R}^3$$\end{document} with horizontal central axis whose vertices are on a vertical 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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