INCOMPLETE DATA PROBLEMS IN X-RAY COMPUTERIZED-TOMOGRAPHY .2. TRUNCATED PROJECTIONS AND REGION-OF-INTEREST TOMOGRAPHY
INCOMPLETE DATA PROBLEMS IN X-RAY COMPUTERIZED-TOMOGRAPHY .2. TRUNCATED PROJECTIONS AND REGION-OF-INTEREST TOMOGRAPHY
复制标题
DOI：
10.1007/bf01396611
复制
发表时间：
1989-01-01
影响因子：
2.1
通讯作者：
RIEDER, A
中科院分区：
文献类型：
--
作者：
LOUIS, AK;RIEDER, A
本文研究计算机层析成像中扇形束几何的截断投影。首先，我们推导出发散光束变换的一致性条件。然后，我们研究了奇异值分解的情况下，只有内部射线在风扇提供，例如在感兴趣的区域层析成像。我们发现，高角频率分量的搜索密度是很好的确定，我们提出了重建从真实的数据，其中丢失的信息近似的基础上奇异值分解。
In the present paper we study truncated projections for the fanbeam geometry in computerized tomography. First we derive consistency conditions for the divergent beam transform. Then we study a singular value decomposition for the case where only the interior rays in the fan are provided, as for example in region-of-interest tomography. We show that the high angular frequency components of the searched-for densities are well determined and we present reconstructions from real data where the missing information is approximated based on the singular value decomposition.