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Radon变换和衰减Radon变换的分析研究

王金平 杜金元

数学杂志2002,Vol.22Issue(4):369-373,5.
数学杂志2002,Vol.22Issue(4):369-373,5.

Radon变换和衰减Radon变换的分析研究

THE ANALYTIC STUDY ON THE RADON TRANSFORM AND THEATTENUATED RADON TRANSFORM

王金平 1杜金元1

作者信息

  • 1. 武汉大学数学与统计学院,武汉,430072
  • 折叠

摘要

Abstract

The attenuated Radon transform arises in single photon emission computedtomography (SPECT). The Radon transform and attenuated Radon transform are reviewed,and a new method of proof of the Tretiak-Metz results is presented. For a general object theinverse attenuated Radon transform is derived by means of transform techniques but nonfilt ered-backprojection method.

关键词

Radon变换/衰减Radon变换/反演公式

Key words

Radon transform/attenuated Radon transform/inversion formula

分类

数理科学

引用本文复制引用

王金平,杜金元..Radon变换和衰减Radon变换的分析研究[J].数学杂志,2002,22(4):369-373,5.

基金项目

Supported by NNSF of China (19971064) (19971064)

RFDP of Higher Education (98048627) (98048627)

SF of Wuhan University(201990336). (201990336)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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