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An algorithm for computed tomography image reconstruction from limited-view projections
作者姓名:王林元  李磊  闫镔  江成顺  王浩宇  包尚联
作者单位:National Digital Switching System Engineering & Technological R,&,D Centre, Zhengzhou 450002, China;National Digital Switching System Engineering & Technological R,&,D Centre, Zhengzhou 450002, China;National Digital Switching System Engineering & Technological R,&,D Centre, Zhengzhou 450002, China;National Digital Switching System Engineering & Technological R,&,D Centre, Zhengzhou 450002, China;The Beijing City Key Lab of Medical Physics & Engineering, Peking University, Beijing 100871, China;The Beijing City Key Lab of Medical Physics & Engineering, Peking University, Beijing 100871, China
基金项目: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).
摘    要:<正>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 l_2-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.

关 键 词:limited-view  problem  computed  tomography  image  reconstruction  algorithms  reconstruction-reference  difference  algorithm  adaptive  steepest  descent-projection  onto  convex  sets  algorithm

An algorithm for computed tomography image reconstruction from limited-view projections
Wang Lin-Yuan,Li Lei,Yan Bin,Jiang Cheng-Shun,Wang Hao-Yu and Bao Shang-Lian.An algorithm for computed tomography image reconstruction from limited-view projections[J].Chinese Physics B,2010,19(8):642-647.
Authors:Wang Lin-Yuan  Li Lei  Yan Bin  Jiang Cheng-Shun  Wang Hao-Yu and Bao Shang-Lian
Institution:(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)
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.
Keywords:limited-view problem  computed tomography image reconstruction algorithms  reconstruction-reference difference algorithm  adaptive steepest descent-projection onto convex sets algorithm
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