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总览 评价 邹玮 * ( 苏州大学电子信息学院, 苏州 215006; ) 摘要: 在介观荧光重建中,逆向问题的求解涉及较大的计算量。本文利用简化系统重建介观荧光图像。通过舒尔补对逆向问题逐层分解,在子系统中求解逆向问题。并利用子系统的解得到全局系统的解,
邹玮*
(
苏州大学电子信息学院, 苏州 215006; )
摘要:
在介观荧光重建中,逆向问题的求解涉及较大的计算量。本文利用简化系统重建介观荧光图像。通过舒尔补对逆向问题逐层分解,在子系统中求解逆向问题。并利用子系统的解得到全局系统的解,从而较大地提高了计算效率。为了改善介观荧光重建中逆向问题的病态性,本文采用了随空间位置变化的正则化参数。当离探测器和光源位置增大时,正则化参数会减小,改善了重建效果。最后通过仿真实验,表明本文的算法可以使重建速度和精度均得到提高。
关键词:
介观成像;简化系统;正则化
ZOU Wei*
(
School of Electronic and Information Engineering, Soochow University, Suzhou 215006; )
Abstract:
The inverse problem in the mesoscopic fluorescent reconstruction involves high computational requirements. In this paper, the mesoscopic fluorescent image is proposed to be reconstructed with reduced system. The inverse problem is decomposed by the Schur complement and solved in the subsystems. The solution to the global system is achieved by the solutions to the subsystems. Therefore, the computing efficiency is significantly improved. In order to tackle the ill-posedness from the inverse problem of mesoscopic fluorescent reconstruction, the regularization parameter which is spatially variant is used. The regularization parameter will decrease as the distance from the detectors and sources increases. Thus, the reconstruction effect is improved. Simulation result shows the proposed method is able to improve the speed and precision of reconstruction.
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