| Radon变换和衰减Radon变换的分析研究 |
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| 引用本文： | 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. |
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| 作者姓名： | 王金平 杜金元 |
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| 作者单位： | 武汉大学数学与统计学院,武汉,430072 |
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| 基金项目： | Supported by NNSF of China (1 9971 0 64)，RFDP of Higher Education
(980 4 862 7)，SF of Wuhan University(2 0 1 990 336) |
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| 摘 要： | 衰减Radon变换出现在单光子放射型计算机层析成像中。本文首先回顾和研究了Radon变换和衰减Radon变换及其反演的有关结论，进而提出了Tretiak-Metz结果的一种新证明方法，对于一般对象，本文用变换方法非滤子背投影法导出了衰减Radon变换的反演公式。
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| 关 键 词： | Radon变换 衰减Radon变换 反演公式 |
THE ANALYTIC STUDY ON THE RADON TRANSFORM AND THEATTENUATED RADON TRANSFORM |
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| Wang Jin-ping,DU Jin-yuan.THE ANALYTIC STUDY ON THE RADON TRANSFORM AND THEATTENUATED RADON TRANSFORM[J].Journal of Mathematics,2002,22(4):369-373. |
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| Authors: | Wang Jin-ping DU Jin-yuan |
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| Abstract: | The attenuated Radon transform arises in single photon emission computed tomography (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 the inverse attenuated Radon transform is derived by means of transform techniques but non filtered backprojection method. |
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| Keywords: | Radon transform attenuated Radon transform inversion formula |
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