An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data
An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data
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DOI：
10.1088/0266-5611/32/11/115009
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发表时间：
2016-11-01
期刊：
影响因子：
2.1
通讯作者：
Lionheart, William R. B.
中科院分区：
文献类型：
--
作者：
Desai, Naeem M.;Lionheart, William R. B.
我们使用来自的数据，给出了一种显式逐平面滤波反投影重建算法，用于欧几里得三空间上对称二阶张量场的横向射线变换。绕三个正交轴旋转。我们表明，在一般情况下，两轴数据是不够的，但是我们。给出具有两轴数据的潜在情况的显式重建过程。我们描述了三轴算法的数值实现，并给出了模拟数据的重建结果。
We give an explicit plane-by-plane filtered back-projection reconstruction algorithm for the transverse ray transform of symmetric second rank tensor fields on Euclidean three-space, using data from. rotation about three ortho-gonal axes. We show that in the general case two-axis data is insufficient, but we. give an explicit reconstruction procedure for the potential case with two-axis data. We describe a numerical implementation of the three-axis algorithm and give reconstruction results for simulated data.