Inversion formulas for the broken-ray Radon transform

Inversion formulas for the broken-ray Radon transform
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断射线 Radon 变换的反演公式

DOI:
10.1088/0266-5611/27/2/025002
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发表时间:
2010
期刊:
影响因子:
2.1
通讯作者:
J. Schotland
J. Schotland
中科院分区:
数学2区
文献类型:
--
作者:
L. Florescu;Vadim A. Markel;J. Schotland

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我们认为反演的破碎射线Radon变换,在光学层析成像的逆输运理论的背景下出现的问题。我们推导出反演公式,允许恢复的散射和吸收系数的辐射传输方程中的单散射制度。我们的结果与数值模拟说明。
We consider the inversion of the broken-ray Radon transform, a problem that arises in the context of inverse transport theory in optical tomography. We derive inversion formulas which allow the recovery of the scattering and absorption coefficients of the radiative transport equation in the single-scattering regime. Our results are illustrated with numerical simulations.
DOI: 10.1103/physreve.81.016602
发表时间: 2010
期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子: --
作者:
Florescu,Lucia;Markel,VadimA;Schotland,JohnC
通讯作者: Schotland,JohnC