The inverse problem reconstruction approach for single-photon emission computed tomography imaging

Abstract

In this paper, we study the inverse problem reconstruction approach for parallel-beam projection in -scheme short-scan SPECT image and obtain approximate reconstruction algorithms if the attenuation is real constant and complex-valued angle-dependent cases and the parallel-beam projection data functions are acquired from -scheme short-scan single-photon emission computed tomography. Finally, we also give an numerical implementation.

Keywords:

• inverse problem
• attenuated Radon transform
• reconstruction approach
• π-scheme short-scan

AMS Subject Classifications:

• 44A15
• 42A16
• 35R30
• 68W25

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was supported by the National Natural Science Foundation of China [No. 61271398]; NSF of Zhejiang Province [No. LY14A010004]; K.C. Wong Magna Fund in Ningbo University.