A large class of inversion formulae for the 2D Radon transform of functions of compact support
A large class of inversion formulae for the 2D Radon transform of functions of compact support
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DOI：
10.1088/0266-5611/20/4/016
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发表时间：
2004-08-01
期刊：
影响因子：
2.1
通讯作者：
Noo, F
中科院分区：
文献类型：
--
作者：
Clackdoyle, R;Noo, F
证明了二维Radon变换存在许多与Radon原始反演公式不等价的直接反演公式。我们的显式公式具有类似于经典滤波反投影的形式，但确实需要一些有关的信息。目标函数的支持。我们给出了一些数值结果，以说明当交替公式应用于有噪声数据时重建的显著差异。
We demonstrate that there are many direct inversion formulae for the two-dimensional (2D) Radon transform that are not equivalent to Radon's original inversion formula. Our explicit formulae have a form similar to classical filtered backprojection but do require some information about. the support of the object function. We present some numerical results to illustrate significant differences in reconstructions as alternate formulae are applied to noisy data.