This paper is to investigate the high-quality analytical reconstructions of multiple source-translation computed tomography (mSTCT) under an extended field of view (FOV). Under the larger FOVs, the previously proposed backprojection filtration (BPF) algorithms for mSTCT, including D-BPF and S-BPF (their differences are different derivate directions along the detector and source, respectively), make some errors and artifacts in the reconstructed images due to a backprojection weighting factor and the half-scan mode, which deviates from the intention of mSTCT imaging. In this paper, to achieve reconstruction with as little error as possible under the extremely extended FOV, we combine the full-scan mSTCT (F-mSTCT) geometry with the previous BPF algorithms to study the performance and derive a suitable redundancy-weighted function for F-mSTCT. The experimental results indicate FS-BPF can get high-quality, stable images under the extremely extended FOV of imaging a large object, though it requires more projections than FD-BPF. Finally, for different practical requirements in extending FOV imaging, we give suggestions on algorithm selection.

翻译：本文研究在扩展视野下多源平移计算机断层扫描的高质量解析重建。在较大视野下，先前针对mSTCT提出的反投影滤波算法（包括D-BPF和S-BPF，两者区别分别在于沿探测器和源的不同微分方向），由于反投影加权因子和半扫描模式，会在重建图像中产生误差和伪影，这与mSTCT成像的初衷相违背。为实现极扩展视野下尽可能小误差的重建，本文将全扫描mSTCT几何结构与先前BPF算法相结合，研究其性能并推导适用于F-mSTCT的冗余加权函数。实验结果表明，FS-BPF在成像大物体的极扩展视野下能够获得高质量、稳定的图像，尽管其所需投影数多于FD-BPF。最后，针对扩展视野成像的不同实际需求，本文给出了算法选择建议。