论文标题
通过Schmidt正交修改算法（SOMA）对多光谱CT进行快速迭代重建
Fast Iterative Reconstruction for Multi-spectral CT by a Schmidt Orthogonal Modification Algorithm (SOMA)
论文作者
论文摘要
多光谱CT（MSCT）越来越多地用于工业非破坏性测试和医学诊断，因为其出色的性能（例如物质可区分性）。获得MSCT数据的过程可以建模为非线性方程，并且基材料分解归结为非线性方程的反问题。对于不同的光谱数据，几何不一致的参数会导致几何不一致的射线，这将导致不匹配的非线性方程。如何准确，快速地解决不匹配的非线性方程是一个热门问题。本文提出了一种通用的迭代方法，以倒置不匹配的非线性方程并开发施密特正交化以加速收敛。通过MSCT基材料分解实验验证了所提出方法的有效性。结果表明，所提出的方法可以准确分解基本材料图像并大大提高收敛速度。
Multi-spectral CT (MSCT) is increasingly used in industrial non-destructive testing and medical diagnosis because of its outstanding performance like material distinguishability. The process of obtaining MSCT data can be modeled as nonlinear equations and the basis material decomposition comes down to the inverse problem of the nonlinear equations. For different spectra data, geometric inconsistent parameters cause geometrical inconsistent rays, which will lead to mismatched nonlinear equations. How to solve the mismatched nonlinear equations accurately and quickly is a hot issue. This paper proposes a general iterative method to invert the mismatched nonlinear equations and develops Schmidt orthogonalization to accelerate convergence. The validity of the proposed method is verified by MSCT basis material decomposition experiments. The results show that the proposed method can decompose the basis material images accurately and improve the convergence speed greatly.
