An algorithm for computed tomography image reconstruction from limited-view projections

• Published in: Chinese physics B Vol. 19; no. 8; pp. 642 - 647
• Main Author: 王林元 李磊 闫镔 江成顺 王浩宇 包尚联
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.08.2010
• Subjects: Algorithms; Computation; Image reconstruction; Mathematical analysis; Projection; Tomography; Vectors (mathematics); 图像重建; 差分向量; 差分图像; 摄影技术; 最小化方法; 计算机断层扫描; 迭代算法; 预测算法
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/19/8/088106

With the development of the compressive sensing theory, the image reconstruction from the projections viewed in limited angles is one of the hot problems in the research of computed tomography technology. This paper develops an iterative algorithm for image reconstruction, which can fit the most cases. This method gives an image reconstruction flow with the difference image vector, which is based on the concept that the difference image vector between the reconstructed and the reference image is sparse enough. Then the l1-norm minimization method is used to reconstruct the difference vector to recover the image for flat subjects in limited angles. The algorithm has been tested with a thin planar phantom and a real object in limited-view projection data. Moreover, all the studies showed the satisfactory results in accuracy at a rather high reconstruction speed.