Optical tomography in two dimensions.
Optical tomography in two dimensions.
复制标题
二维光学断层扫描。
DOI：
10.4310/maa.2003.v10.n1.a1
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发表时间：
2003
影响因子：
0.3
通讯作者：
Plamen Stefanov
中科院分区：
文献类型：
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作者：
Plamen Stefanov
我们在二维中考虑通过用漫射光探测来重建非均匀介质的吸收和散射系数的逆边界问题。该问题被建模为平稳线性玻尔兹曼方程的逆边界问题。该信息被编码在反照率运算符中。我们证明，只要后者在适当的拓扑中很小，我们就可以从该信息中恢复吸收和散射内核。我们还给出了稳定性估计并提出了近似的重建程序。
We consider in two dimensions, the inverse boundary problem of reconstructing the absorption and scattering coefficient of an inhomogeneous medium by probing it with diffuse light. The problem is modeled as an inverse boundary problem for the stationary linear Boltzmann equation. The information is encoded in the albedo operator. We show that we can recover the absorption and the scattering kernel from this information provided that the latter is small in an appropriate topology. We also give stability estimates and propose an approximate reconstruction procedure.