电容层析成像中通用迭代法的研究

A General Iterative Algorithm for Image Reconstruction with Electrical Capacitance Tomography

根据近几年在电容层析成像(ECT)领域里应用较广泛的迭代方法,给出了一种通用的基于线性模型的投影迭代公式以便于今后寻求新的更快收敛的迭代法。推导出了通用优化迭代步长公式,避免了凭主观经验选取步长的缺点。进一步得出了通用迭代-单步法公式。对迭代-单步法和投影迭代法进行了比较,结果表明,迭代-单步法成像质量略逊于投影迭代法但成像速度大大优于投影迭代法,有望应用于在线成像。

A general projected iterative scheme （GPI） for image reconstruction with electrical capacitance tomography is introduced. This provides a mechanism to derive new faster algorithms for ECT. And a general optimized step length is derived for the scheme. At last,a general iterative single step image reconstruction scheme （GISS） is presented. The simulation comparisons between GPI and GISS are given. The results show that GISS can be used in online image reconstruction owing to its fast image reconstruction,while GPI can provide a better image quality than GISS.