衰减Radon变换反演的Tikhonov-Phillip正则化方法

Tikhonov-Phillip's Regularization Inversion Method of Attenuated Radon Transform

研究Sobolev空间上的衰减Radon变换 ,获得了衰减Radon变换及其导出的拟微分算子的连续性 ,由此得到了Sobolev空间上衰减Radon变换Tikhonov

We study attenuated Radon transform on Sobolev space. We derive the continuity of attenuated Radon transform and pseudo differential operator resulted from it and finally derive the Tikhonov Phillip's regularization reconstruction method.