具均匀衰减投影数据下发射型SPECT图像重建方法研究

Emission SPECT Image Reconstruction Methods with Uniformly Attenuated Projection Data

该文给出了一些基础的指数型Radon变换的反演公式,然后研究在具均匀衰减投影数据下的发射型SPEGT图像重建问题.利用对偶算子构建一个中间函数,用这个中间函数得到反演公式,并拓展到扇形束投影的情形.最后利用加权Hilbert变换进行数值模拟.

In this work, we give some basic inversion formulae of the exponential Radon transform; then we study emission SPECT reconstruction methods with uniformly attenuated projection data. We construct an intermediate function by the dual operator and obtain the inversion formula by use of the intermediate function, and we extend it to the fan-beam projection case. Finally we develop the numerical implementation of the finite weighted Hilbert transform.