| 波动方程反问题与广义RADON变换反演的一种关系 |
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| 引用本文： | 张兆田,邱佩璋.波动方程反问题与广义RADON变换反演的一种关系[J].CT理论与应用研究,1993(2). |
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| 作者姓名： | 张兆田 邱佩璋 |
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| 作者单位： | 北京信息工程学院 100101
(张兆田)，北京信息工程学院 100101(邱佩璋) |
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| 摘 要： | 本文把波动方程反问题与广义Radon 变换的反演相联系。在假定弱散射条件下,把波动方程反问题转化成广义Radon 变换的反演问题,即如何从一系列关于目标函数在某类子流形上的积分值,去求出目标函数.这种转化提供了一种研究波动方程反问题的途径。
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| 关 键 词： | 波动方程反问题 广义RADON 变换反演 弱散射 |
The Relation Between the Inversion of Wave Eauation and the Inversion of Generalized Radon Transform |
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| Zhang Zhaotian Qiu Peizhang.The Relation Between the Inversion of Wave Eauation and the Inversion of Generalized Radon Transform[J].Computerized Tomography Theory and Applications,1993(2). |
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| Authors: | Zhang Zhaotian Qiu Peizhang |
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| Abstract: | The relation between the inversion of a class of wave equation and the in-
version of generalized Radion transform is discussed in this paper.The conclusion is that
the inversion of wave equation with constant background and weakly scattering can reduce
to the inversion of generalized Radon transform.This relation gives a way to the inversion
of wave equation. |
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| Keywords: | The inversion of wave equation the inversion of generalized Radon transform Weakly scattering |
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