| 广义Radon变换的正交展开和反演 |
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| 引用本文： | 王金平.广义Radon变换的正交展开和反演[J].CT理论与应用研究,1999,8(4):14-19. |
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| 作者姓名： | 王金平 |
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| 作者单位： | 湖北师范学院数学系!黄石市４３５００２ |
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| 摘 要： | 本文具体给出了广义Ｒａｄｏｎ变换在函数空间Ｌ＾２（Ｒ＾ｎ，Ｗｎ）上的正交函数展开形式，由此得到了广义Ｒａｄｏｎ变换的反演公式，从而推广了Ｌｏｕｉｓ和Ｄａｖｉｓｏｎ的工作。
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| 关 键 词： | 广义Radon变换 正交展开 球谐函数 函数空间 |
Orthogonal Expansions and Inversion of the Generalized Radon Transform |
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| Wang Jingping.Orthogonal Expansions and Inversion of the Generalized Radon Transform[J].Computerized Tomography Theory and Applications,1999,8(4):14-19. |
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| Authors: | Wang Jingping |
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| Abstract: | In this Paper, The author construct orthogonal function series expansions of thegeneralized Radon transform when it is restricted to L2(Rn, Wn),furthermore, we obtain inversion formula,thus we generalize the results of Louis and Davision. |
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| Keywords: | The generalized Radon transform orthogonal expansions spherical harmonics |
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