数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (6): 1615-1626.doi: 10.1016/S0252-9602(13)60109-5

• 论文 • 上一篇    下一篇

RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT

 史婷婷, 王金平*   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • 收稿日期:2012-05-28 修回日期:2013-03-22 出版日期:2013-11-20 发布日期:2013-11-20
  • 通讯作者: 王金平,wangjinping@nbu.edu.cn E-mail:shitingting87@163.com; wangjinping@nbu.edu.cn
  • 基金资助:

    This work was supported by the National Natural Science Foundation of China (61271398) and K. C. Wong Magna Fund in Ningbo University.

RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT

 SHI Ting-Ting, WANG Jin-Ping*   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • Received:2012-05-28 Revised:2013-03-22 Online:2013-11-20 Published:2013-11-20
  • Contact: wangjinping,wangjinping@nbu.edu.cn E-mail:shitingting87@163.com; wangjinping@nbu.edu.cn
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (61271398) and K. C. Wong Magna Fund in Ningbo University.

摘要:

In this work, the image reconstruction in π-scheme short-scan single-photon emission computed tomography (SPECT) with nonuniform attenuation is derived in its most general form when πscheme short-scan SPECT entails data acquisition over disjoint angular intervals without conjugate views totaling to  radians. The reconstruction results are based on decomposition of Novikov´s inversion operator into three parts bounded in the L2 sense. The first part involves the measured partial data; the second part is a skew-symmetric operator; the third part is a symmetric and compact contribution. It is showed firstly that the operators involved belong to L(L2(B)). Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method.

关键词: nonuniform attenuation, the attenuated Radon transform, Novikov´s inver-sion operator,  π-scheme short-scan

Abstract:

In this work, the image reconstruction in π-scheme short-scan single-photon emission computed tomography (SPECT) with nonuniform attenuation is derived in its most general form when πscheme short-scan SPECT entails data acquisition over disjoint angular intervals without conjugate views totaling to  radians. The reconstruction results are based on decomposition of Novikov´s inversion operator into three parts bounded in the L2 sense. The first part involves the measured partial data; the second part is a skew-symmetric operator; the third part is a symmetric and compact contribution. It is showed firstly that the operators involved belong to L(L2(B)). Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method.

Key words: nonuniform attenuation, the attenuated Radon transform, Novikov´s inver-sion operator,  π-scheme short-scan

中图分类号: 

  • 44A15