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Numerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two Dimensions
SIAM Journal on Imaging Sciences ( IF 2.1 ) Pub Date : 2020-03-31 , DOI: 10.1137/19m1282921
Hiroshi Fujiwara , Kamran Sadiq , Alexandru Tamasan

SIAM Journal on Imaging Sciences, Volume 13, Issue 1, Page 535-555, January 2020.
We consider the two dimensional quantitative imaging problem of recovering a radiative source inside an absorbing and scattering medium from knowledge of the outgoing radiation measured at the boundary. The medium has an anisotropic scattering property that is neither negligible nor large enough for the diffusion approximation to hold. We present the numerical realization of the authors' recently proposed reconstruction method. For scattering kernels of finite Fourier content in the angular variable, the solution is exact. The feasibility of the proposed algorithms is demonstrated in several numerical experiments, including simulated scenarios for parameters meaningful in optical molecular imaging.


中文翻译:

二维吸收与不扩散散射介质中辐射源的数值重构

SIAM影像科学杂志,第13卷,第1期,第535-555页,2020年1月。
我们考虑了二维定量成像问题,即根据在边界处测得的出射辐射的知识来恢复吸收和散射介质内部的辐射源。该介质具有各向异性散射特性,该特性既不可忽略,又不能大到足以保持扩散近似。我们提出了作者最近提出的重建方法的数值实现。对于角度变量中具有有限傅立叶含量的散射核,解是精确的。几种数值实验证明了所提出算法的可行性,包括在光学分子成像中有意义的参数的模拟场景。
更新日期:2020-03-31
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