具均匀衰减投影数据下发射型SPECT图像重建方法研究

数学物理学报 ›› 2018, Vol. 38 ›› Issue (3): 613-624.

• 论文 • 上一篇

具均匀衰减投影数据下发射型SPECT图像重建方法研究

叶丽颖¹, 李静², 王金平³

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

收稿日期:2016-12-05 修回日期:2017-09-26 出版日期:2018-06-26 发布日期:2018-06-26
通讯作者: 王金平 E-mail:wangjinping@nbu.edu.cn
基金资助:
国家自然科学基金（61271398）

Emission SPECT Image Reconstruction Methods with Uniformly Attenuated Projection Data

Ye Liying¹, Li Jing², Wang Jinping³

1 China Maritime Police Academy, Zhejiang Ningbo 315801;
2 School of Mathematics and Statistics, Zhoukou Normal University, Henan Zhoukou 466001;
3 Faculty of Science, Ningbo University, Zhejiang Ningbo 315211

Received:2016-12-05 Revised:2017-09-26 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the NSFC (61271398)

摘要/Abstract

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SPECT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.

关键词: 指数型Radon变换, 反演公式, SPECT重建方法

Abstract: 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.

Key words: Exponential Radon transform, Inversion formula, SPECT reconstruction method

中图分类号:

O175.5

叶丽颖, 李静, 王金平. 具均匀衰减投影数据下发射型SPECT图像重建方法研究[J]. 数学物理学报, 2018, 38(3): 613-624.

Ye Liying, Li Jing, Wang Jinping. Emission SPECT Image Reconstruction Methods with Uniformly Attenuated Projection Data[J]. Acta mathematica scientia,Series A, 2018, 38(3): 613-624.

参考文献

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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

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