Zou Wei, Wang Jiajun, Feng David Dagan
J Opt Soc Am A Opt Image Sci Vis. 2013 Aug 1;30(8):1464-75. doi: 10.1364/JOSAA.30.001464.
Fluorescent molecular tomographic image reconstruction usually involves repeatedly solving large-scale matrix equations, which are computationally expensive. In this paper, a method is proposed to reduce the scale of the matrix system. The Jacobian matrix is simplified by deleting the columns or the rows whose values are smaller than a threshold. Furthermore, the measurement data are divided into two groups and are used for iteration of image reconstruction in turn. The simplified system is then solved in the wavelet domain to further accelerate the process of solving the inverse problem. Simulation results demonstrate that the proposed method can significantly speed up the reconstruction process.
荧光分子断层图像重建通常涉及反复求解大规模矩阵方程，这在计算上代价高昂。本文提出一种方法来减小矩阵系统的规模。通过删除值小于阈值的列或行来简化雅可比矩阵。此外，将测量数据分为两组并依次用于图像重建的迭代。然后在小波域中求解简化后的系统，以进一步加速求解逆问题的过程。仿真结果表明，所提方法能显著加快重建过程。
