论文标题
使用广义最小残留算法的无与伦比投影矩阵的CT的迭代图像重建
Iterative image reconstruction for CT with unmatched projection matrices using the generalized minimal residual algorithm
论文作者
论文摘要
使用线性计算机断层扫描（CT）模型将广义最小残差（GMRE）算法应用于图像重建。 GMRE算法迭代求解了方形的非对称线性系统，并且在使用无与伦比的背对灯/投影仪对时以及应用预处理时，它在CT上具有实际应用。在3D CT图像重建问题上证明了GMRE算法，可以看到，在最小二乘（CGLS）算法中使用无与伦比的共轭梯度中，使用无与伦比的投影矩阵并不能阻止收敛。还展示了使用GMRE的预处理的实施。
The generalized minimal residual (GMRES) algorithm is applied to image reconstruction using linear computed tomography (CT) models. The GMRES algorithm iteratively solves square, non-symmetric linear systems and it has practical application to CT when using unmatched back-projector/projector pairs and when applying preconditioning. The GMRES algorithm is demonstrated on a 3D CT image reconstruction problem where it is seen that use of unmatched projection matrices does not prevent convergence, while using an unmatched pair in the related conjugate gradients for least-squares (CGLS) algorithm leads to divergent iteration. Implementation of preconditioning using GMRES is also demonstrated.
