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

作者：Wang Lin Yuan; Li Lei; Yan Bin^*; Jiang Cheng Shun; Wang Hao Yu; Bao Shang Lian

来源：Chinese Physics B, 2010, 19(8): 088106.

• limited-view problem
• computed tomography image reconstruction algorithms
• reconstruction-reference difference algorithm
• adaptive steepest descent-projection onto convex sets algorithm

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 l(1)-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.

• 出版日期2010-8
• 单位北京大学