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

doi:10.1016/S0252-9602(13)60109-5

Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (6): 1615-1626.doi: 10.1016/S0252-9602(13)60109-5

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

SHI Ting-Ting, WANG Jin-Ping*

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.

Abstract

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

CLC Number:

44A15

SHI Ting-Ting, WANG Jin-Ping. RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT[J].Acta mathematica scientia,Series B, 2013, 33(6): 1615-1626.

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

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