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Chin. Phys. B, 2010, Vol. 19(8): 088106    DOI: 10.1088/1674-1056/19/8/088106

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)
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  
Received:  04 November 2009      Revised:  13 December 2009      Accepted manuscript online: 
PACS: (Computed radiography)  
  02.60.-x (Numerical approximation and analysis)  
  87.57.C- (Image quality)  
  87.57.N- (Image analysis)  
Fund: 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).

Cite this article: 

Wang Lin-Yuan(王林元), Li Lei(李磊), Yan Bin(闫镔), Jiang Cheng-Shun(江成顺), Wang Hao-Yu(王浩宇), and Bao Shang-Lian(包尚联) An algorithm for computed tomography image reconstruction from limited-view projections 2010 Chin. Phys. B 19 088106

[1] Andersen A H 1989 IEEE Trans. Med. Imag. 8 50
[2] Lange K and Carson R 1984 Comput. Assist. Tomogr. 8 306
[3] Sauer K and Bouman C 1993 IEEE Trans. Signal Process 41 534
[4] Manglos S H, Gagne G M, Krol A, Thomas F D and Narayanaswamy R 1995 Phys. Med. Biol. 40 1225
[5] Elbakri I A and Fessler J A 2003 Phys. Med. Biol. 48 2453
[6] Kole J S 2005 Phys. Med. Biol. 50 1533
[7] Zbijewski W, Defrise M, Viergever M A and Beekman F J 2007 Phys. Med. Biol. 52 403
[8] Candes E, Romberg J and Tao T 2006 IEEE Trans. Inf. Theory 52 489
[9] Candes E, Romberg J and Tao T 2006 Commun. Pure Appl. Math. 59 1207
[10] Sidky E Y, Kao C M and Pan X C 2006 X-ray Sci. Technol 14 119
[11] Sidky E Y and Pan X C 2008 Phys. Med. Biol. 53 4777
[12] Sidky E Y and Pan X C 2006 IEEE Nucl. Sci. Conf. Rec. 5 2904
[13] Sidky E Y, Chartrand R and Pan X C 2007 IEEE Nucl. Sci. Conf. Rec. 5 3526
[14] LaRoque S J, Sidky E Y and Pan X C 2008 Opt. Soc. Am. A 25 1772
[15] Wang L Y, Jiang C S, Li L, Lu H H and Yan B 2008 Proceedings of Great Wall 2008 International Congress on Medical Physics and The 14th National Annual Meeting of Medical Physics p. 139
[16] Chartrand and Rick 2007 IEEE Signal Process Lett. 14 707
[17] Xu F and Mueller K 2007 Phys. Med. Biol. 52 3405
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