Acta mathematica scientia, Series B >
RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT
Received date: 2012-05-28
Revised date: 2013-03-22
Online published: 2013-11-20
Supported by
This work was supported by the National Natural Science Foundation of China (61271398) and K. C. Wong Magna Fund in Ningbo University.
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.
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 . DOI: 10.1016/S0252-9602(13)60109-5
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