衰减Radon变换出现在单光子放射型计算机层析成像中.本文首先回顾和研究了Radon变换和衰减Radon变换及其反演的有关结论,进而提出了Tretiak-Metz结果的一种新证明方法,对于一般对象,本文用变换方法非滤子背投影法导出了衰减Radon变换的反演公式.%The attenuated Radon transform arises in single photon emission computedtomography (SPECT). The Radon transform and attenuated Radon transform are reviewed,and a new method of proof of the Tretiak-Metz results is presented. For a general object theinverse attenuated Radon transform is derived by means of transform techniques but nonfilt ered-backprojection method.
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