Author Affiliations
Department of Optic-Electronic, College of Electronics and Information Engineering, Sichuan University, Chengdu, Sichuan 610065, Chinashow less
Fig. 1. Schematic of measurement for crossed grating projection profilometry
Fig. 2. Spectrum of grating with nonlinear response. (a) Spectrum of horizontal grating; (b) spectrum of vertical grating; (c) spectrum of crossed grating
Fig. 3. STD of phase error distribution for crossed grating PSP with different phase shifting steps
Fig. 4. Phase error distribution of crossed grating PSP. (a) Horizontal phase error; (b) vertical phase error
Fig. 5. Comparison of phase error distribution. (a) Horizontal phase error; (b) vertical phase error
Fig. 6. Experimental setup
Fig. 7. Experimental results. (a) Captured grating image; (b) STD of phase errors distribution for crossed grating PSP with different phase shifting step
Fig. 8. Phase error distribution. (a) Horizontal phase error; (b) vertical phase error
Fig. 9. Phase error distribution of four methods. (a) Horizontal phase error; (b) vertical phase error
Fig. 10. Measurement results of a heart-shaped object. (a) Heart-shaped object; (b)(e)(g)(j) five-step PSP; (c)(h)(k) double five-step PSP; (d)(f)(i)(l) five-step PSP with Gamma correction
Case | Horizontal sinusoidal grating | Vertical sinusoidal grating |
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1 | 1.701 | 1.698 | 2 | 1.697 | 1.689 | 3 | 1.680 | 1.673 |
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Table 1. Pre-encoded Gamma values calculated by horizontal sinusoidal grating and vertical sinusoidal grating
Method | STD of the horizontal phase errors /rad | STD of the vertical phase errors /rad |
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Five-step | 0.276 | 0.276 | Fifteen-step | 0.247 | 0.123 | Double five-step | 0.050 | 0.050 |
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Table 2. Simulation results of the STD of phase errors for crossed grating PSP
Method | STD of the horizontal phase errors /rad | STD of the vertical phase errors /rad | Number of grating patterns |
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Five-step | 0.276 | 0.276 | 5 | Double five-step | 0.050 | 0.050 | 10 | Five-step with single carrier | 0.002 | 0.002 | 10 |
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Table 3. Simulation results of the STD of phase errors by three methods
Method | STD of the horizontal phase errors /rad | STD of the vertical phase errors /rad |
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Five-step | 0.193 | 0.215 | Thirteen-step | 0.181 | 0.093 | Double five-step | 0.030 | 0.038 |
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Table 4. Experimental results of the STD of phase errors for crossed grating PSP
Method | STD of the horizontal phase errors /rad | STD of the vertical phase errors /rad | Number of grating patterns | Time /s |
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Five-step | 0.193 | 0.215 | 5 | 2.413 | Double five-step | 0.030 | 0.038 | 10 | 2.927 | Gamma correction | 0.017 | 0.020 | 5 | 2.441 | Five-step with single carrier | 0.016 | 0.018 | 10 | 2.518 |
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Table 5. Experimental results of the STD of phase errors by four methods