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

In this work, the image reconstruction in pi-scheme short-scan single-photon emission computed tomography (SPECT) with nonuniform attenuation is derived in its most general form when pi-scheme short-scan SPECT entails data acquisition over disjoint angular intervals without conjugate views totaling to pi radians. The reconstruction results are based on decomposition of Novikov's inversion operator into three parts bounded in the L-2 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(L-2(B)). Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method.