A novel filter design technique in 2D computerized tomography
A novel filter design technique in 2D computerized tomography
复制标题
二维计算机断层扫描中一种新颖的滤波器设计技术
DOI：
10.1088/0266-5611/12/5/011
复制
发表时间：
1996
期刊：
影响因子：
2.1
通讯作者：
T. Schuster
中科院分区：
文献类型：
--
作者：
A. Louis;T. Schuster
近似逆是一种对线性问题和一些特殊的非线性问题的逆算子进行预计算的方法。本文将这一技术应用于X射线层析成像中平行几何的反演公式的推导。给出了重建公式的结构，并对有限个数据计算了卷积滤波，得到了滤波反投影型方法。该技术可以扩展到处理其他扫描几何形状。其主要优点是可以独立于数据来预计算重建核，从而可以进行快速重建。
The approximate inverse is a method to precompute inversion operators for linear and some special nonlinear problems. In this paper this technique is applied to derive inversion formulae for the parallel geometry in x-ray computerized tomography. The structure of reconstruction formulae is given, and for the case of a finite number of data convolution filters are computed leading to methods of filtered backprojection type. The technique can be extended to treat other scanning geometries. The main advantage is the possibility to precompute the reconstruction kernel independently of the data so that a fast reconstruction is possible.