• Infrared and Laser Engineering
  • Vol. 51, Issue 4, 20210179 (2022)
Fei Liu*, Huifang Luo, Hanli Jiang, Yinnan Zhang, and Jin Yan
Author Affiliations
  • College of College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China
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    DOI: 10.3788/IRLA20210179 Cite this Article
    Fei Liu, Huifang Luo, Hanli Jiang, Yinnan Zhang, Jin Yan. Modified three-dimensional reconstruction based on three-frequency three-step phase shifting algorithm[J]. Infrared and Laser Engineering, 2022, 51(4): 20210179 Copy Citation Text show less
    Projected five sinusoidal fringe patterns. (a) Three sinusoidal fringe patterns ,, and with frequency ; (b) Sinusoidal fringe pattern with frequency ; (c) Sinusoidal fringe pattern with frequency ; (d)-(f) Intensity at the red line pixel position in Fig. 1(a)-(c) respectively投影的5张正弦条纹图。(a)频率为的3张正弦条纹图;(b)频率为的正弦条纹图;(c)频率为的正弦条纹图;(d)~(f)图1(a)~(c)中红色划线像素位置的光强值
    Fig. 1. Projected five sinusoidal fringe patterns. (a) Three sinusoidal fringe patterns , , and with frequency ; (b) Sinusoidal fringe pattern with frequency ; (c) Sinusoidal fringe pattern with frequency ; (d)-(f) Intensity at the red line pixel position in Fig. 1(a)-(c) respectively 投影的5张正弦条纹图。(a)频率为 的3张正弦条纹图 ;(b)频率为 的正弦条纹图 ;(c)频率为 的正弦条纹图 ;(d)~(f)图1(a)~(c)中红色划线像素位置的光强值
    Light intensity experiment of sinusoidal fringe patterns with fringe periods of 70, 64, 59, 1. (a) Three-step phase-shifting patterns obtained from the experiment; (b) Average intensity obtained from the experiment; (c) Intensity modulation obtained from the experiment
    Fig. 2. Light intensity experiment of sinusoidal fringe patterns with fringe periods of 70, 64, 59, 1. (a) Three-step phase-shifting patterns obtained from the experiment; (b) Average intensity obtained from the experiment; (c) Intensity modulation obtained from the experiment
    Wrapped phase and triangular wrapped phases and which are obtained by arc cosine functions, wrapped phase and which are phases transformed by triangular wrapped phases and 通过反余弦函数计算得到的包裹相位φ1和三角包裹相位φ2、φ3以及三角包裹相位φ2、 φ3转换得到的包裹相位φ2u、φ3u
    Fig. 3. Wrapped phase and triangular wrapped phases and which are obtained by arc cosine functions, wrapped phase and which are phases transformed by triangular wrapped phases and 通过反余弦函数计算得到的包裹相位φ1和三角包裹相位φ2φ3以及三角包裹相位φ2φ3转换得到的包裹相位φ2uφ3u
    Experiment of the standard dumbbell-shaped ceramic sphere bat. (a) Structured light measurement system; (b) Camera captures a sinusoidal fringe image modulated by a standard sphere bat; (c) Reconstructed results of the standard ceramic sphere and corresponding fitted sphere surface
    Fig. 4. Experiment of the standard dumbbell-shaped ceramic sphere bat. (a) Structured light measurement system; (b) Camera captures a sinusoidal fringe image modulated by a standard sphere bat; (c) Reconstructed results of the standard ceramic sphere and corresponding fitted sphere surface
    Values of the standard dumbbell-shaped ceramic sphere bat measured by traditional algorithm and proposed algorithm. (a) Diameters of standard ceramic spheres A and B; (b) Center-to-center distance of the standard ceramic spheres A and B
    Fig. 5. Values of the standard dumbbell-shaped ceramic sphere bat measured by traditional algorithm and proposed algorithm. (a) Diameters of standard ceramic spheres A and B; (b) Center-to-center distance of the standard ceramic spheres A and B
    Paper folding reconstruction experiment. (a) Original image of paper folding; (b) Fringe pattern modulated by paper folding; (c) Paper folding reconstruction result; (d) Reconstructed contour at the red-line pixel position in Fig.(b)
    Fig. 6. Paper folding reconstruction experiment. (a) Original image of paper folding; (b) Fringe pattern modulated by paper folding; (c) Paper folding reconstruction result; (d) Reconstructed contour at the red-line pixel position in Fig.(b)
    Measured results of the discontinuous objects. (a) Sinusoidal fringe pattern modulated by discontinuous objects with camera captured; (b) Light intensity, corresponding wrapped phase and phase order at the red line pixel position in Fig.(a); (c) Point cloud map of the reconstructed discontinuous objects
    Fig. 7. Measured results of the discontinuous objects. (a) Sinusoidal fringe pattern modulated by discontinuous objects with camera captured; (b) Light intensity, corresponding wrapped phase and phase order at the red line pixel position in Fig.(a); (c) Point cloud map of the reconstructed discontinuous objects
    3D reconstructed results of the objects in three different light intensities using the proposed algorithm. The rows from left to right show the results in low(Fig.(a), (d), (g)), moderate(Fig.(b), (e), (h)) and high(Fig.(c), (f), (i)) light intensities respectively. The columns from top to bottom show the captured patterns of pumpkin mask(Fig.(a)-(c)), the light intensity of the captured patterns(Fig.(d)-(f)) and reconstructed results of pumpkin object(Fig.(g)-(i)) respectively
    Fig. 8. 3D reconstructed results of the objects in three different light intensities using the proposed algorithm. The rows from left to right show the results in low(Fig.(a), (d), (g)), moderate(Fig.(b), (e), (h)) and high(Fig.(c), (f), (i)) light intensities respectively. The columns from top to bottom show the captured patterns of pumpkin mask(Fig.(a)-(c)), the light intensity of the captured patterns(Fig.(d)-(f)) and reconstructed results of pumpkin object(Fig.(g)-(i)) respectively
    [in Chinese]
    Fig. 8. [in Chinese]
    Height information of cross section the reconstructed pumpkin mask in different light intensity. (a) Light intensity at the red-line position in Fig.9 (a)-(c); (b) High information of reconstructed pumpkin mask of the cross section at the red-line position in Fig.9 (a)-(c)
    Fig. 9. Height information of cross section the reconstructed pumpkin mask in different light intensity. (a) Light intensity at the red-line position in Fig.9 (a)-(c); (b) High information of reconstructed pumpkin mask of the cross section at the red-line position in Fig.9 (a)-(c)
    Measured results of the colorful wolf mask. (a) Sinusoidal fringe pattern modulated by colorful wolf mask with camera captured; (b) Light intensity, corresponding wrapped phase and phase order at the red line pixel position in Fig.(a); (c) Point cloud map of the reconstructed colorful wolf mask
    Fig. 10. Measured results of the colorful wolf mask. (a) Sinusoidal fringe pattern modulated by colorful wolf mask with camera captured; (b) Light intensity, corresponding wrapped phase and phase order at the red line pixel position in Fig.(a); (c) Point cloud map of the reconstructed colorful wolf mask
    Scar details of the reconstructed colorful wolf mask
    Fig. 11. Scar details of the reconstructed colorful wolf mask
    Fei Liu, Huifang Luo, Hanli Jiang, Yinnan Zhang, Jin Yan. Modified three-dimensional reconstruction based on three-frequency three-step phase shifting algorithm[J]. Infrared and Laser Engineering, 2022, 51(4): 20210179
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