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锥束重建的Smith—Grangeat方法的分析
引用本文:尤江生 包尚联. 锥束重建的Smith—Grangeat方法的分析[J]. CT理论与应用研究, 1996, 5(2): 46-51
作者姓名:尤江生 包尚联
作者单位:北京大学重离子物理研究所
摘    要:CT机、SPECT及PET等医疗设备是当前重要的医疗诊断工具,但这些设备都跟某些射互有关,当放射性元素衰变而发射某种射线时,如果它们在4立体角范围内是等概率分布的,则扇形采集比在上方向上有集的效率提高了许多。

关 键 词:Radon变换 锥束投影 CT S-G法 放射线设备

Analysis of Cone-beam Reconstruction Formulas of Grangeat and Smith
You Jiangsheng and Bao Shanglian. Analysis of Cone-beam Reconstruction Formulas of Grangeat and Smith[J]. Computerized Tomography Theory and Applications, 1996, 5(2): 46-51
Authors:You Jiangsheng and Bao Shanglian
Abstract:First,we give a simplification proof of Grangeat's fundamental relation,then obtain a precisely necessary and sufficient conditions for complete reconstruction.Second,we analyze some formulas discussed by Smith and partially noted by Defrise et al and deducethat some formulas introduced by Smith are only approximating equations for finite orbits.
Keywords:s:Radon transform f Cone-beam projection  Reconstruction condition  SmithGrangeat reconstruction program.
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