论文标题
与位置和角度依赖的权重重建体素
Reconstruction of Voxels with Position- and Angle-Dependent Weightings
论文作者
论文摘要
可以在向前投影中对体重的体体的重建问题进行建模。这更改了系统矩阵,并禁止使用标准过滤的反向投影。在这项工作中,我们首先根据系统矩阵和加权部分来提出此重建问题。我们计算伪因子,并表明该解决方案是缺陷的,因此构成了不良的。这是重建的基本限制。然后,我们得出一种迭代溶液,并通过实验表明其上的上层溶液对任何封闭形式的解决方案。
The reconstruction problem of voxels with individual weightings can be modeled a position- and angle- dependent function in the forward-projection. This changes the system matrix and prohibits to use standard filtered backprojection. In this work we first formulate this reconstruction problem in terms of a system matrix and weighting part. We compute the pseudoinverse and show that the solution is rank-deficient and hence very ill posed. This is a fundamental limitation for reconstruction. We then derive an iterative solution and experimentally show its uperiority to any closed-form solution.