单光栅相衬成像莫尔伪影的理论分析与消除

蒋俊; 杨君; 宗方轲; 吴浩; 罗琨皓; 郭金川

doi:doi:10.3788/AOS202040.0807001

光学学报, 2020, 40 (8): 0807001, 网络出版: 2020-04-13

单光栅相衬成像莫尔伪影的理论分析与消除下载： 1147次

Theoretical Analysis and Elimination of Moiré Artifacts Based on Single Grating Phase-Contrast Imaging

蒋俊杨君宗方轲 ^**吴浩罗琨皓郭金川 ^*

作者单位

深圳大学物理与光电工程学院光电子器件与系统教育部/广东省重点实验室, 广东深圳 518060

图 & 表

图 1. X射线单光栅相衬成像原理示意图

Fig. 1. Schematic of X-ray single grating phase-contrast imaging

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图 2. 相位恢复流程图

Fig. 2. Flow chart of phase retrieval

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图 3. 莫尔伪影实例图。(a)有物体的频谱图;(b)含莫尔伪影的相衬图像

Fig. 3. Example diagram of Moiré artifacts. (a) Spectrum after adding object; (b) phase-contrast image with Moiré artifacts

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图 4. 莫尔条纹的形成。(a)原理示意图;(b)几何关系简图

Fig. 4. Formation of Moiré fringes. (a) Schematic; (b) diagram of geometric relation

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图 5. 莫尔条纹倾角随光栅夹角的变化

Fig. 5. Inclination angle of Moiré fringe versus included angle of grating

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图 6. 不同光栅夹角下莫尔条纹频率随光栅投影频率的变化。(a)采样频率为4 pixel·mm^-1;(b)采样频率为5 pixel·mm^-1

Fig. 6. Frequency of Moiré fringe versus projection frequency of grating under different included angles of grating. (a) Sampling frequency is 4 pixel·mm^-1; (b) sampling frequency is 5 pixel·mm^-1

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图 7. 旋转光栅实验的成像结果。(a)光栅旋转前的频谱图;(b)旋转前的相衬图像;(c)光栅旋转后的频谱图;(d)旋转后的相衬图像

Fig. 7. Imaging results of rotating grating experiment. (a) Spectrogram before rotating grating; (b) differential phase-contrast image before rotation; (c) spectrogram after rotating grating; (d) differential phase-contrast image after rotation

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图 8. 不同光栅投影频率下PU管的相衬成像结果。(a) 3.82 line·mm^-1(u_s=3.5u_g);(b) 3.34 line·mm^-1 (u_s=4u_g);(c) 2.67 line·mm^-1 (u_s=5u_g)

Fig. 8. Phase-contrast imaging results of PU tubes with different projection frequencies of grating. (a) 3.82 line·mm^-1 (u_s=3.5u_g); (b) 3.34 line·mm^-1 (u_s=4u_g); (c) 2.67 line·mm^-1 (u_s=5u_g)

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图 9. 不同光栅投影频率下鸡翅的相衬成像结果。(a) 3.82 line·mm^-1(u_s=3.5u_g);(b) 3.34 line·mm^-1(u_s=4u_g);(c) 2.67 line·mm^-1(u_s=5u_g)

Fig. 9. Phase-contrast imaging results of chicken wings with different projection frequencies of grating. (a) 3.82 line·mm^-1(u_s=3.5u_g); (b) 3.34 line·mm^-1(u_s=4u_g); (c) 2.67 line·mm^-1(u_s=5u_g)

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蒋俊, 杨君, 宗方轲, 吴浩, 罗琨皓, 郭金川. 单光栅相衬成像莫尔伪影的理论分析与消除[J]. 光学学报, 2020, 40(8): 0807001. Jun Jiang, Jun Yang, Fangke Zong, Hao Wu, Kunhao Luo, Jinchuan Guo. Theoretical Analysis and Elimination of Moiré Artifacts Based on Single Grating Phase-Contrast Imaging[J]. Acta Optica Sinica, 2020, 40(8): 0807001.

单光栅相衬成像莫尔伪影的理论分析与消除下载： 1147次

图 1. X射线单光栅相衬成像原理示意图

Fig. 1. Schematic of X-ray single grating phase-contrast imaging

图 2. 相位恢复流程图

Fig. 2. Flow chart of phase retrieval

图 3. 莫尔伪影实例图。(a)有物体的频谱图;(b)含莫尔伪影的相衬图像

Fig. 3. Example diagram of Moiré artifacts. (a) Spectrum after adding object; (b) phase-contrast image with Moiré artifacts

图 4. 莫尔条纹的形成。(a)原理示意图;(b)几何关系简图

Fig. 4. Formation of Moiré fringes. (a) Schematic; (b) diagram of geometric relation

图 5. 莫尔条纹倾角随光栅夹角的变化

Fig. 5. Inclination angle of Moiré fringe versus included angle of grating

图 6. 不同光栅夹角下莫尔条纹频率随光栅投影频率的变化。(a)采样频率为4 pixel·mm^-1;(b)采样频率为5 pixel·mm^-1

Fig. 6. Frequency of Moiré fringe versus projection frequency of grating under different included angles of grating. (a) Sampling frequency is 4 pixel·mm^-1; (b) sampling frequency is 5 pixel·mm^-1

图 7. 旋转光栅实验的成像结果。(a)光栅旋转前的频谱图;(b)旋转前的相衬图像;(c)光栅旋转后的频谱图;(d)旋转后的相衬图像

Fig. 7. Imaging results of rotating grating experiment. (a) Spectrogram before rotating grating; (b) differential phase-contrast image before rotation; (c) spectrogram after rotating grating; (d) differential phase-contrast image after rotation

图 8. 不同光栅投影频率下PU管的相衬成像结果。(a) 3.82 line·mm^-1(u_s=3.5u_g);(b) 3.34 line·mm^-1 (u_s=4u_g);(c) 2.67 line·mm^-1 (u_s=5u_g)

Fig. 8. Phase-contrast imaging results of PU tubes with different projection frequencies of grating. (a) 3.82 line·mm^-1 (u_s=3.5u_g); (b) 3.34 line·mm^-1 (u_s=4u_g); (c) 2.67 line·mm^-1 (u_s=5u_g)

图 9. 不同光栅投影频率下鸡翅的相衬成像结果。(a) 3.82 line·mm^-1(u_s=3.5u_g);(b) 3.34 line·mm^-1(u_s=4u_g);(c) 2.67 line·mm^-1(u_s=5u_g)

Fig. 9. Phase-contrast imaging results of chicken wings with different projection frequencies of grating. (a) 3.82 line·mm^-1(u_s=3.5u_g); (b) 3.34 line·mm^-1(u_s=4u_g); (c) 2.67 line·mm^-1(u_s=5u_g)

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单光栅相衬成像莫尔伪影的理论分析与消除 下载： 1147次

图 1. X射线单光栅相衬成像原理示意图

Fig. 1. Schematic of X-ray single grating phase-contrast imaging

图 2. 相位恢复流程图

Fig. 2. Flow chart of phase retrieval

图 3. 莫尔伪影实例图。(a)有物体的频谱图;(b)含莫尔伪影的相衬图像

Fig. 3. Example diagram of Moiré artifacts. (a) Spectrum after adding object; (b) phase-contrast image with Moiré artifacts

图 4. 莫尔条纹的形成。(a)原理示意图;(b)几何关系简图

Fig. 4. Formation of Moiré fringes. (a) Schematic; (b) diagram of geometric relation

图 5. 莫尔条纹倾角随光栅夹角的变化

Fig. 5. Inclination angle of Moiré fringe versus included angle of grating

图 6. 不同光栅夹角下莫尔条纹频率随光栅投影频率的变化。(a)采样频率为4 pixel·mm-1;(b)采样频率为5 pixel·mm-1

Fig. 6. Frequency of Moiré fringe versus projection frequency of grating under different included angles of grating. (a) Sampling frequency is 4 pixel·mm-1; (b) sampling frequency is 5 pixel·mm-1

图 7. 旋转光栅实验的成像结果。(a)光栅旋转前的频谱图;(b)旋转前的相衬图像;(c)光栅旋转后的频谱图;(d)旋转后的相衬图像

Fig. 7. Imaging results of rotating grating experiment. (a) Spectrogram before rotating grating; (b) differential phase-contrast image before rotation; (c) spectrogram after rotating grating; (d) differential phase-contrast image after rotation

图 8. 不同光栅投影频率下PU管的相衬成像结果。(a) 3.82 line·mm-1(us=3.5ug);(b) 3.34 line·mm-1 (us=4ug);(c) 2.67 line·mm-1 (us=5ug)

Fig. 8. Phase-contrast imaging results of PU tubes with different projection frequencies of grating. (a) 3.82 line·mm-1 (us=3.5ug); (b) 3.34 line·mm-1 (us=4ug); (c) 2.67 line·mm-1 (us=5ug)

图 9. 不同光栅投影频率下鸡翅的相衬成像结果。(a) 3.82 line·mm-1(us=3.5ug);(b) 3.34 line·mm-1(us=4ug);(c) 2.67 line·mm-1(us=5ug)

Fig. 9. Phase-contrast imaging results of chicken wings with different projection frequencies of grating. (a) 3.82 line·mm-1(us=3.5ug); (b) 3.34 line·mm-1(us=4ug); (c) 2.67 line·mm-1(us=5ug)

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单光栅相衬成像莫尔伪影的理论分析与消除下载： 1147次

图 6. 不同光栅夹角下莫尔条纹频率随光栅投影频率的变化。(a)采样频率为4 pixel·mm^-1;(b)采样频率为5 pixel·mm^-1

Fig. 6. Frequency of Moiré fringe versus projection frequency of grating under different included angles of grating. (a) Sampling frequency is 4 pixel·mm^-1; (b) sampling frequency is 5 pixel·mm^-1

图 8. 不同光栅投影频率下PU管的相衬成像结果。(a) 3.82 line·mm^-1(u_s=3.5u_g);(b) 3.34 line·mm^-1 (u_s=4u_g);(c) 2.67 line·mm^-1 (u_s=5u_g)

Fig. 8. Phase-contrast imaging results of PU tubes with different projection frequencies of grating. (a) 3.82 line·mm^-1 (u_s=3.5u_g); (b) 3.34 line·mm^-1 (u_s=4u_g); (c) 2.67 line·mm^-1 (u_s=5u_g)

图 9. 不同光栅投影频率下鸡翅的相衬成像结果。(a) 3.82 line·mm^-1(u_s=3.5u_g);(b) 3.34 line·mm^-1(u_s=4u_g);(c) 2.67 line·mm^-1(u_s=5u_g)

Fig. 9. Phase-contrast imaging results of chicken wings with different projection frequencies of grating. (a) 3.82 line·mm^-1(u_s=3.5u_g); (b) 3.34 line·mm^-1(u_s=4u_g); (c) 2.67 line·mm^-1(u_s=5u_g)