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Improved perturbation method for absorption map reconstruction in diffusion optical tomography

机译:改进的摄动法在扩散光学层析成像中重建吸收图

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The perturbation method is an effective approach for optical tomography reconstruction, however its success depends to a great extent on how close initial estimates are to the actual solutions. In addition, the linear perturbation method can only be applied to the reconstruction of differences between two similar states. To overcome these limitations, we present a pre-scaling technique applied to the qualitative reconstruction of the absorption map. In this method, the initial estimate of the absorption coefficient is scaled to an appropriate value before it is employed in iteration. The scaled estimate leads to the forward solution on the boundary close to the measured data. Inthe simulated experiments, reconstructions were performed with and without the pre-scaling technique. The results demonstrate that the proposed technique extends the selection of the initial estimate of optical properties, and makes it feasible that the absolute value of optical properties can also be used in the linear perturbation approach.
机译:摄动法是光学层析成像重建的有效方法,但是其成功很大程度上取决于初始估计值与实际解的接近程度。另外,线性摄动法只能用于重建两个相似状态之间的差异。为了克服这些限制,我们提出了一种应用于吸收图的定性重建的预缩放技术。在这种方法中,吸收系数的初始估计在进行迭代之前被缩放为适当的值。缩放后的估计值会导致在靠近测量数据的边界上进行正解。在模拟实验中,使用和不使用预缩放技术都可以进行重建。结果表明,所提出的技术扩展了光学性质的初始估计的选择,并且使光学性质的绝对值也可以用于线性摄动方法是可行的。

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