中文摘要：

本文主要针对计算机断层成像（computed tomography,CT）不完全投影数据重建中探测器全覆盖稀疏角度重建和探测器部分覆盖截断数据重建问题,综述了其在研究方法上国内外的进展.在探测器对被检测物体可以完全覆盖的情况下,针对稀疏均匀采样和视角受限采样,探讨了离散模型迭代重建算法和压缩感知采样重建算法.在探测器对被检测物体不能完全覆盖的情况下,探讨了锥束螺旋BPF重建算法、加型迭代重建算法和锥束FDK改进算法.论文可以为CT重建领域的研究工作者提供全面的方法梳理和总结,并指出了当前研究的重点和未来研究的方向.

英文摘要：

This paper mainly reviews the progress of methods, and research development in the field of computed tomography（CT） with incomplete projection data, at home and abroad, on limited angle projection data reconstruction with the detector fully covered, and truncated data reconstruction with the detector partially covered. Firstly, the discrete model iterative reconstruction algorithm and the compressed sensing（CS） sampling reconstruction algorithm are discussed for the sparsely uniform and limited-view angle sampling in the case that the detector fully covers the detected object.Secondly, the reconstruction algorithm of back-projection filtration（BPF） for helical cone beam and improved ones for cone beam FDK are discussed in the case that the detector could not fully cover the detected object. This paper could provide the researchers in CT reconstruction field the criticism of methods and summaries. Furthermore, it also points out current focus of the study and the research direction in the future.