论文标题
逆Rytov系列用于分散光学断层扫描
The inverse Rytov series for diffuse optical tomography
论文作者
论文摘要
RYTOV近似在近红外光谱中已知，包括弥漫性光学断层扫描。在弥漫性光学断层扫描中，与天生的近似相比，RYTOV近似通常给出更好的重建图像。尽管相关的逆问题是非线性的，但RYTOV近似几乎总是伴随着非线性反问题的线性化。在本文中，我们将通过Rytov系列进行非线性重建。这样，无需线性化，RYTOV系列中的高阶项可用于重建。讨论了收敛性和稳定性。我们发现，逆Rytov系列具有类似于反诞生系列的递归结构。
The Rytov approximation is known in near-infrared spectroscopy including diffuse optical tomography. In diffuse optical tomography, the Rytov approximation often gives better reconstructed images than the Born approximation. Although related inverse problems are nonlinear, the Rytov approximation is almost always accompanied by the linearization of nonlinear inverse problems. In this paper, we will develop nonlinear reconstruction with the inverse Rytov series. By this, linearization is not necessary and higher order terms in the Rytov series can be used for reconstruction. The convergence and stability are discussed. We find that the inverse Rytov series has a recursive structure similar to the inverse Born series.
