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In circular cone-beam computed tomography (CT), to solve the 3D image reconstruction from truncated projection data which has no truncation along PI-line, backprojection-filtration (BPF) algorithm is a preferred choice. However, in its performance the integral interval of backprojection is variable for different PI-line, rendering the parallelism performance of backprojection low. So it cannot satisfy the requirement of fast image reconstruction in practical CT system. In this paper, a tent BPF (T-BPF) algorithm is developed based on the data rebinning method, which was performed by first rearranging the cone-beam data to tent-like parallel-beam data, and then applying the proposed BPF-type algorithm to reconstruct images from the rearranged data. T-BPF turns the variable view-angle integral interval of backprojection into a fixed integral interval, and there are no relations in the loops of backprojection calculation, which means the parallelism performance of T-BPF is an improvement over that of the original BPF algorithm. The results of experiments show that compared with the conventional CPU implementation, the GPU accelerated method provides images of the same quality with a speedup factor 1036 for the reconstruction of 2563 Shepp-Logan model. The speedup factor is an improvement in the original BPF algorithm. T-BPF provides a solution for the 3D fast reconstruction from truncated data.
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Keywords:
- X-ray optics /
- CT /
- image reconstruction /
- GPU
[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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