【摘要】 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 .更多还原

【Abstract】 The attenuated Radon transform arises in single photon emission computed tomography (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 the inverse attenuated Radon transform is derived by means of transform techniques but non filtered backprojection method.更多还原