Code: 201310

Reconstruction of the Attenuated Radon Transform in π-Scheme Short-Scan Spect

Tingting Shi, Jinping Wang

 

Abstracts

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 π-scheme short-scan SPECT entails data acquisition over disjoint angular intervals without conjugate views totaling to π 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(<img height="10" border="0" style="vertical-align:bottom" width="9" alt="" title="" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0252960213601095-fx1.jpg">)). Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method