A study on numerical simulation of image reconstruction in optical computer tomography

F Gao, H Niu, H Zhao
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引用次数: 7

Abstract

Time-resolved optical computer tomographic imaging has received considerable interest recently because of its non-invasiveness and non-destructiveness to biological tissue, and several attempts have been made for its implementation. The image recovery algorithm described in this paper is based on the finite-element method solution to the diffusion equation as the photon transport model. By formulating image reconstruction as an optimization problem with the objective function expressed by the error norm between actual and modeled measurement sets, this algorithm incorporates a direct search optimization method, the rotating coordinates method, into the solution strategy to avoid excessive computation of the time-consuming forward problem. Several numerically simulated results for the images of the absorption and scattering coefficient distribution within a circular tissue, reconstructed from the integrated intensity, the mean time of photon flight or their weighted sum, are given. The influence of the numbers of stimulating sources and boundary detection points on the resulting images is discussed. Finally, this paper concludes that the reconstruction algorithm used is feasible but needs to be improved in its accuracy and efficiency.

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光学计算机断层成像中图像重建的数值模拟研究
时间分辨光学计算机层析成像由于其对生物组织的非侵入性和非破坏性,最近受到了相当大的关注,并为其实施进行了几次尝试。本文描述的图像恢复算法是基于扩散方程的有限元解法作为光子输运模型。该算法将图像重建表述为一个优化问题,目标函数由实际测量集与建模测量集之间的误差范数表示,并在求解策略中引入了直接搜索优化方法——旋转坐标法,避免了耗时的前向问题的过多计算。本文给出了用积分光强、光子平均飞行时间或它们的加权和重建圆形组织内吸收和散射系数分布图像的几个数值模拟结果。讨论了激励源数目和边界检测点数目对生成图像的影响。最后,本文得出结论,所采用的重构算法是可行的,但其精度和效率有待提高。
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