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Compared with the traditional helical cone-beam computed tomography (CT), the field-of-view (FOV) half-covered cone-beam CT can almost double the FOV and thus image the large object by using a smaller panel detector. However, the projections are transversely truncated, resulting in truncation errors in reconstructed images if no correction measures are taken. In this paper, a half-covered cone-beam reconstruction algorithm based on the Radon inversion transformation is developed, in which the data filtering is performed in two steps. The first step is a local operation and can be carried out correctly even when the data is truncated. This performance of local operation makes the original data closer to zero, so the continuity of data is improved. And this also can restrain the truncation errors caused by the following global operation. Numerical simulations and experimental results are presented to demonstrate the algorithm and to compare it with existing algorithms. Preliminary results indicate that the proposed algorithm can well restrain the truncation errors and improves reconstruction quality.
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Keywords:
- X-ray optics /
- helical cone-beam computed tomography /
- image reconstruction /
- truncated data
[1] Wang G, Lin T H, Cheng P C, Shinozaki D M, Kim H G 1991 Proc. SPIE 1556 99
[2] Turbell H, Danielsson P E 1998 IEEE Medical Imaging, Toronto, Canada Nov, 1998 p8
[3] Noo F, Defrise M, Clackdoyle R 1999 Phys. Med. Biol. 44 561
[4] Tang X Y, Hsieh J, Roy A N, Dutta S, Samsonov D, Hagiwara A 2006 Phys. Med. Biol. 5 855
[5] Tam K C, Samarasekera S, Sauer F 1998 Phys. Med. Biol. 431015
[6] Katsevich A 2002 App. Math. 62 2012
[7] Zou Y, Pan X C, Sidky E Y 2005 Opt. Soc. Am. 22 2372
[8] Yu L, Xia D, Zou Y, Pan X C, Pelizzari C, Munro P 2006 IEEE Trans. Med. Imag. 25 869
[9] Li L, K J Kang, Chen Z Q, Zhang L, Xing Y X 2009 J. X-ray Sci. Tech. 17 135
[10] Clackdoyle R, Noo F, Guo J, Roberts J 2004 IEEE Trans. Nucl. Sci. 51 2570
[11] Zou X B, Zeng L, Li Z J 2009 J. X-ray Sci. Tech. 17 233
[12] Zeng L, Zou X B 2010 J. X-ray Sci. Tech. 18 353
[13] Zeng L, Zou X B 2011 Current Medical Imaging Reviews 7 125
[14] Han Y, Yan B, Yu CH Q, Li L, Li J X, Bao SH L 2012 Chi. Phys. B 21 068701
[15] Wang G 2002 Med. Phys. 29 1634
[16] Gregor J, Gleason S, Paulus M 2003 IEEE Trans. Imag. Proc. 2 803
[17] Schäfer D, Grass M 2009 Proceeding of 10th Fully 3D Meeting and 2nd HPIR Workshop, Beijing, China, September 5-10, 2009 p86
[18] Kunze H, Dennerlein F 2009 Proceeding of 10th Fully 3D Meeting and 2nd HPIR Workshop, Beijing, China, September 5-10, 2009 p138
[19] Vaz M, Mersereau R, Spalla G 2009 Proceeding of 10th Fully 3D Meetingand 2nd HPIR Workshop, Beijing, China, September 5-10, 2009 p178
[20] Fu J, Lu H R, Gong L 2006 Opt. Tech. 32 209 (in Chinese) [傅健, 路宏年, 龚磊 2006 光学技术 32 209]
[21] Li L, Chen Z Q, Zhang L 2006 High Energy Phys. Nucl. Phy. 30 812
[22] Zou X B, Zeng L 2010 Opt. Prec. Eng. 18 434 (in Chinese) [邹晓兵, 曾理 2010 光学精密工程 18 434]
[23] Guo J Q, Zeng L, Zou X B 2011 J. X-ray Sci. Tech. 19 293
[24] Dennerlein F 2011 11th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine Potsdam, Germany, July 11-15, 2011 p80
[25] Wang X C, Yan B, Li L, Hu G E 2012 Chin. Phys. B 21 118702
[26] Noo F, Defrise M, Clackdoyle R, Kudo H 2002 Phys. Med. Biol. 47 2525
[27] Shepp L A, Logan B F 1974 IEEE Trans. Nucl. Sci. 21 21
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[1] Wang G, Lin T H, Cheng P C, Shinozaki D M, Kim H G 1991 Proc. SPIE 1556 99
[2] Turbell H, Danielsson P E 1998 IEEE Medical Imaging, Toronto, Canada Nov, 1998 p8
[3] Noo F, Defrise M, Clackdoyle R 1999 Phys. Med. Biol. 44 561
[4] Tang X Y, Hsieh J, Roy A N, Dutta S, Samsonov D, Hagiwara A 2006 Phys. Med. Biol. 5 855
[5] Tam K C, Samarasekera S, Sauer F 1998 Phys. Med. Biol. 431015
[6] Katsevich A 2002 App. Math. 62 2012
[7] Zou Y, Pan X C, Sidky E Y 2005 Opt. Soc. Am. 22 2372
[8] Yu L, Xia D, Zou Y, Pan X C, Pelizzari C, Munro P 2006 IEEE Trans. Med. Imag. 25 869
[9] Li L, K J Kang, Chen Z Q, Zhang L, Xing Y X 2009 J. X-ray Sci. Tech. 17 135
[10] Clackdoyle R, Noo F, Guo J, Roberts J 2004 IEEE Trans. Nucl. Sci. 51 2570
[11] Zou X B, Zeng L, Li Z J 2009 J. X-ray Sci. Tech. 17 233
[12] Zeng L, Zou X B 2010 J. X-ray Sci. Tech. 18 353
[13] Zeng L, Zou X B 2011 Current Medical Imaging Reviews 7 125
[14] Han Y, Yan B, Yu CH Q, Li L, Li J X, Bao SH L 2012 Chi. Phys. B 21 068701
[15] Wang G 2002 Med. Phys. 29 1634
[16] Gregor J, Gleason S, Paulus M 2003 IEEE Trans. Imag. Proc. 2 803
[17] Schäfer D, Grass M 2009 Proceeding of 10th Fully 3D Meeting and 2nd HPIR Workshop, Beijing, China, September 5-10, 2009 p86
[18] Kunze H, Dennerlein F 2009 Proceeding of 10th Fully 3D Meeting and 2nd HPIR Workshop, Beijing, China, September 5-10, 2009 p138
[19] Vaz M, Mersereau R, Spalla G 2009 Proceeding of 10th Fully 3D Meetingand 2nd HPIR Workshop, Beijing, China, September 5-10, 2009 p178
[20] Fu J, Lu H R, Gong L 2006 Opt. Tech. 32 209 (in Chinese) [傅健, 路宏年, 龚磊 2006 光学技术 32 209]
[21] Li L, Chen Z Q, Zhang L 2006 High Energy Phys. Nucl. Phy. 30 812
[22] Zou X B, Zeng L 2010 Opt. Prec. Eng. 18 434 (in Chinese) [邹晓兵, 曾理 2010 光学精密工程 18 434]
[23] Guo J Q, Zeng L, Zou X B 2011 J. X-ray Sci. Tech. 19 293
[24] Dennerlein F 2011 11th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine Potsdam, Germany, July 11-15, 2011 p80
[25] Wang X C, Yan B, Li L, Hu G E 2012 Chin. Phys. B 21 118702
[26] Noo F, Defrise M, Clackdoyle R, Kudo H 2002 Phys. Med. Biol. 47 2525
[27] Shepp L A, Logan B F 1974 IEEE Trans. Nucl. Sci. 21 21
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