Author Affiliations
1School of Control Science and Engineering, Tiangong University, Tianjin 300387, China2School of Artificial Intelligence, Tiangong University, Tianjin 300387, Chinashow less
Fig. 1. Recurrent residual convolutional neural network based on U-Net
Fig. 2. Recurrent residual convolutional units and unfolded recurrent convolutional units
Fig. 3. Schematic diagram of proposed algorithm
Fig. 4. Simulated projection fringe pattern and simulated depth map. (a) Simulated projection fringe pattern; (b) simulated depth map
Fig. 5. Simulated training dataset
Fig. 6. Error of R2U-Net and U-Net under free noise testing samples
Fig. 7. Depth map prediction result of simulated data. (a) Simulated fringe pattern of test input; (b) depth map corresponding to fringe pattern; (c) prediction result of U-Net; (d) prediction result of R2U-Net; (e) comparison of 270th row of prediction result
Fig. 8. Comparison of R2U-Net method and FTM method. (a) Depth map corresponding to fringe pattern; (b) prediction result of R2U-Net; (c) result of FTM; (d) comparison of the 270th row of the prediction result
Fig. 9. Error of R2U-Net and U-Net under noisy testing samples
Fig. 10. Depth map prediction result of noise simulated data. (a) Simulated fringe pattern of test input; (b) depth map corresponding to fringe pattern; (c) prediction result of U-Net; (d) prediction result of R2U-Net; (e) comparison of 270th row of prediction result
Fig. 11. Comparison of R2U-Net method and FTM method (Noise simulation data). (a) Depth map corresponding to fringe pattern; (b) prediction result of R2U-Net; (c) result of FTM; (d) comparison of 270th row of prediction result
Fig. 12. Experimental training dataset
Fig. 13. Error of R2U-Net and U-Net under experimental testing samples
Fig. 14. Depth map prediction result of experimental sample. (a) Experimental fringe pattern of test input; (b) depth map corresponding to fringe pattern; (c) prediction result of U-Net; (d) prediction result of R2U-Net; (e) comparison of 310th row of prediction result
Fig. 15. Depth map prediction result of the second experimental sample. (a) Simulated fringe pattern of the test input; (b) depth map corresponding to fringe pattern; (c) prediction result of U-Net; (d) prediction result of R2U-Net; (e) comparison of 320th row of prediction result
Loss function | MSE |
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MSE | 1.71×10-6 | SSIM | 2.22×10-6 | SSIM-MAE | 2.17×10-6 |
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Table 1. Comparison of three loss functions
Model | MAE | SSIM | MSE |
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U-Net | 8.62×10-3 | 0.98495 | 1.24×10-3 | R2U-Net | 7.12×10-3 | 0.98775 | 1.08×10-3 |
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Table 2. Performance evaluation of the two models