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本文基于数据重排方法, 提出了T-BPF (Tent-BPF)算法, 该算法先将锥束投影数据重排成平行投影数据, 然后使用一种推导的BPF型算法重建重排后的平行投影数据. T-BPF算法将原BPF算法反投影中变化的角度积分限变成固定的, 反投影中各层循环之间没有了相关性, 这意味着T-BPF算法较原BPF算法具有更好的可并行性. 实验结果显示: 使用GPU对2563的Shepp-Logan体模的图像重建进行并行加速, T-BPF算法在保证重建质量的前提下, 加速比达到了1036, 较原BPF算法有很大提升. T-BPF算法为截断投影数据的3D图像快速重建提供了方法.
[1] Zou Y, Pan X C 2004 Phys. Med. Biol. 49 941
[2] Zou Y, Pan X C 2004 Phys. Med. Biol. 49 383
[3] Zou Y, Pan X C 2004 Phys, Med. Biol. 49 2717
[4] Clackdoyle R, Noo F, Guo J, Roberts J 2004 IEEE Trans Nucl Sci 51 2570
[5] Luo Z Y, Yang X Q, Meng Y Z, Deng Y 2010 Acta Phys. Sin. 59 8237 (in China) [罗召洋, 杨孝全, 孟远征, 邓勇 2010 物理学报 59 8237]
[6] Jia P X, Zhang F, Yan B, Bao S L 2010 Chin. Phys. B 19 087802
[7] Li L, Kang K J, Chen Z Q, Zhang L, Xing Y X 2008 IEEE Nuclear Science Symposium and Medical Imaging Conference Paper No M10-346
[8] Wang X C, Yan B, Li L, Hu G E 2012 Chin. Phys. B 21 118702
[9] Pan X C, Xia D, Zou Y, Yu L F 2004 Phys. Med. Biol. 49 4349
[10] Yu L F, Zou Y, Sidky E Y, Pelizzari C A, Munro P, Pan X C 2006 IEEE Trans Med Imag 25 869
[11] Yu L F, Xia D, Zou Y, Pan X C, Pelizzari C A, Munro P 2005 IEEE Nuclear Science Symposium Conference Record 412
[12] Yu L F, Pelizzari C A, Pan X C 2006 IEEE Nuclear Science Symposium Conference Record 2889
[13] Wang X C, Li L, Yu C Q, Yan B, Bao S L 2012 J. of X-ray Sci. and Tech. 20 69
[14] Grass M, Köhler Th, Proksa R 2000 Phys. Med. Biol. 45 329
[15] Han Y, Yan B, Li L, Yu C Q, Li J X, Bao S L 2012 Chin. Phys. B 21 068701
[16] Noo F, Clackdoyle R, Pack J D 2004 Phys. Med. Biol. 49 3903
[17] Shen L, Xing Y X 2010 Nuclear Techniques 33 857(in Chinese) [沈乐, 邢宇翔 2010 核技术 33 857]
[18] Wang Y J, Hu H F, Xing Y X 2009 The 10th international meeting on fully 3D image reconstruction in radiology and nuclear medicine 57
[19] Sidky E Y, Zou Y, Pan X C 2005 Phys. Med. Biol. 50 1643
[20] Zou Y, Pan X C, Sidky E Y 2005 J. Opt. Soc. Am. 22 2372
[21] Tricomi F C 1951 Quarterly Journal of Mathematics 2 199
[22] Sidky E Y, Pan X C 2005 IEEE Signal Process Lett. 12 97
[23] Feldkamp L A, Davis L C, Kress J W 1984 J. Opt. Soc. Amer. A 1 612
[24] Noo F, Defrise M, Clackdoyle R, Kudo H 2002 Phys. Med. Biol. 47 2525
[25] Dennerlein F, Noo F, Hornegger J, Lauritsch G 2007 Phys. Med. Biol. 52 3227
[26] Shepp L A, Logan B F1974 IEEE Trans Nucl. Sci. 21 21
[27] Han X, Bian J G, Eaker D R, Kline T L, Sidky E Y, Ritman E L, Pan X C 2011 IEEE Trans Med. Imag. 30 606
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[1] Zou Y, Pan X C 2004 Phys. Med. Biol. 49 941
[2] Zou Y, Pan X C 2004 Phys. Med. Biol. 49 383
[3] Zou Y, Pan X C 2004 Phys, Med. Biol. 49 2717
[4] Clackdoyle R, Noo F, Guo J, Roberts J 2004 IEEE Trans Nucl Sci 51 2570
[5] Luo Z Y, Yang X Q, Meng Y Z, Deng Y 2010 Acta Phys. Sin. 59 8237 (in China) [罗召洋, 杨孝全, 孟远征, 邓勇 2010 物理学报 59 8237]
[6] Jia P X, Zhang F, Yan B, Bao S L 2010 Chin. Phys. B 19 087802
[7] Li L, Kang K J, Chen Z Q, Zhang L, Xing Y X 2008 IEEE Nuclear Science Symposium and Medical Imaging Conference Paper No M10-346
[8] Wang X C, Yan B, Li L, Hu G E 2012 Chin. Phys. B 21 118702
[9] Pan X C, Xia D, Zou Y, Yu L F 2004 Phys. Med. Biol. 49 4349
[10] Yu L F, Zou Y, Sidky E Y, Pelizzari C A, Munro P, Pan X C 2006 IEEE Trans Med Imag 25 869
[11] Yu L F, Xia D, Zou Y, Pan X C, Pelizzari C A, Munro P 2005 IEEE Nuclear Science Symposium Conference Record 412
[12] Yu L F, Pelizzari C A, Pan X C 2006 IEEE Nuclear Science Symposium Conference Record 2889
[13] Wang X C, Li L, Yu C Q, Yan B, Bao S L 2012 J. of X-ray Sci. and Tech. 20 69
[14] Grass M, Köhler Th, Proksa R 2000 Phys. Med. Biol. 45 329
[15] Han Y, Yan B, Li L, Yu C Q, Li J X, Bao S L 2012 Chin. Phys. B 21 068701
[16] Noo F, Clackdoyle R, Pack J D 2004 Phys. Med. Biol. 49 3903
[17] Shen L, Xing Y X 2010 Nuclear Techniques 33 857(in Chinese) [沈乐, 邢宇翔 2010 核技术 33 857]
[18] Wang Y J, Hu H F, Xing Y X 2009 The 10th international meeting on fully 3D image reconstruction in radiology and nuclear medicine 57
[19] Sidky E Y, Zou Y, Pan X C 2005 Phys. Med. Biol. 50 1643
[20] Zou Y, Pan X C, Sidky E Y 2005 J. Opt. Soc. Am. 22 2372
[21] Tricomi F C 1951 Quarterly Journal of Mathematics 2 199
[22] Sidky E Y, Pan X C 2005 IEEE Signal Process Lett. 12 97
[23] Feldkamp L A, Davis L C, Kress J W 1984 J. Opt. Soc. Amer. A 1 612
[24] Noo F, Defrise M, Clackdoyle R, Kudo H 2002 Phys. Med. Biol. 47 2525
[25] Dennerlein F, Noo F, Hornegger J, Lauritsch G 2007 Phys. Med. Biol. 52 3227
[26] Shepp L A, Logan B F1974 IEEE Trans Nucl. Sci. 21 21
[27] Han X, Bian J G, Eaker D R, Kline T L, Sidky E Y, Ritman E L, Pan X C 2011 IEEE Trans Med. Imag. 30 606
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