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

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 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(▪)). Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method.