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再论"非圆轨迹不含导数的扇形束扫描重建公式"
引用本文:王革.再论"非圆轨迹不含导数的扇形束扫描重建公式"[J].CT理论与应用研究,2003,12(2):39-44.
作者姓名:王革
作者单位:DepartmentsofRadiology,BiomedicalEngineering,MathermaticsUniversityofIowa,IowaCity,IA52242,USA
基金项目:This work was supported in part by the NIH grant R01,DC03590,
摘    要:黄朝志等发现在1993年发表的非圆轨迹不含导数的扇束重建公式推导中的一个错误。他们的结论是:在假设的条件下,不含导数的重建公式不是精确的,但是一个很好的近似重建公式。在本文中,作者分析了该错误的影响,讨论了用于非圆轨迹不含导数的精确扇束重建的矫正办法,并提出了一些未解决问题。

关 键 词:CT  图像重建  扇束  锥束  Feldkamp型算法

Revisit to Derivative-Free Noncircular Fan-Beam Reconstruction-Responses to "Discussions on a Noncircular Fan-Beam Reconstruction Formula" by Huang, et al.
Ge Wang.Revisit to Derivative-Free Noncircular Fan-Beam Reconstruction-Responses to "Discussions on a Noncircular Fan-Beam Reconstruction Formula" by Huang, et al.[J].Computerized Tomography Theory and Applications,2003,12(2):39-44.
Authors:Ge Wang
Abstract:Huang et al. identified an error in the derivation of a derivative-free noncircular fan-beam reconstruction formula published in 1993. They concluded that the derivative-free formula is not exact under the assumed conditions, but it is a very good approximate reconstruction formula. In this report, the author analyzes the impacts of that error, discuss on remedy for exact derivative -free noncircular fan-beam reconstruction, and pose some open questions.
Keywords:Computed tomography (CT)  image reconstruction  fan-beam  cone-beam    Feldkamp-type algorithm  
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