中国物理B ›› 2010, Vol. 19 ›› Issue (8): 88106-088106.doi: 10.1088/1674-1056/19/8/088106

• CROSS DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

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

王林元1, 李磊1, 闫镔1, 江成顺1, 王浩宇2, 包尚联2   

  1. (1)National Digital Switching System Engineering & Technological R,&,D Centre, Zhengzhou 450002, China; (2)The Beijing City Key Lab of Medical Physics & Engineering, Peking University, Beijing 100871, China
  • 收稿日期:2009-11-04 修回日期:2009-12-13 出版日期:2010-08-15 发布日期:2010-08-15
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2006CB7057005), the National High Technology Research and Development Program of China (Grant No. 2009AA012200), and the National Natural Science Foundation of China (Grant No. 60672104).

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

Wang Lin-Yuan(王林元)a), Li Lei(李磊)a), Yan Bin(闫镔)a)†, Jiang Cheng-Shun(江成顺)a), Wang Hao-Yu(王浩宇)b), and Bao Shang-Lian(包尚联)b)   

  1. a National Digital Switching System Engineering & Technological R,&,D Centre, Zhengzhou 450002, China; b The Beijing City Key Lab of Medical Physics & Engineering, Peking University, Beijing 100871, China
  • Received:2009-11-04 Revised:2009-12-13 Online:2010-08-15 Published:2010-08-15
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2006CB7057005), the National High Technology Research and Development Program of China (Grant No. 2009AA012200), and the National Natural Science Foundation of China (Grant No. 60672104).

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摘要： 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 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.

Abstract: 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 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.

Key words: limited-view problem, computed tomography image reconstruction algorithms, reconstruction-reference difference algorithm, adaptive steepest descent-projection onto convex sets algorithm

中图分类号:  (Computed radiography)

  • 87.59.bd
02.60.-x (Numerical approximation and analysis) 87.57.C- (Image quality) 87.57.N- (Image analysis)