Approximate Reconstruction Formulae for the Cone Beam Transform I (an Unpublished Manuscript from November 1987)
Approximate Reconstruction Formulae for the Cone Beam Transform I (an Unpublished Manuscript from November 1987)
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锥束变换 I 的近似重构公式（1987 年 11 月未发表的手稿）
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通讯作者：
David V. Finch
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作者：
David V. Finch
本文提出了一种导出源集为曲线时发散束X射线在三维空间中变换的近似反演公式的方法。当源集为平面凸曲线时，得到了新的拟局部近似反演公式。最后，我们比较了这些方法与现有的卷积反投影算法的3-D重建。
In this paper we present a method for deriving approximate inversion formulae for the divergent beam x-ray transform in three-space when the source set is a curve. When the source set is a planar convex curve, we obtain new approximate inversion formulae which are quasi-local. Finally we compare these methods with existing convolution-backprojec-tion algorithms for 3-D reconstruction.