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

作　　者：叶丽颖 李静 王金平[3] Ye Liying;Li Jing;Wang Jinping(China Maritime Police Academy,Zhejiang Ningbo 315801;School of Mathematics and Statistics,Zhoukou Normal University,Henan Zhoukou 366001;Faculty of Science,Ningbo University,Zhejiang Ningbo 315211)

机构地区：[1]公安海警学院,浙江宁波315801 [2]周口师范学院数学与统计学院,河南周口466001 [3]宁波大学理学院,浙江宁波315211

出　　处：《数学物理学报（A辑）》2018年第3期613-624,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金(61271398)~~

摘　　要：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.

关 键 词：指数型Radon变换 反演公式 SPECT重建方法 

分 类 号：O175.5[理学—数学]