Xuanrui Gong, Zhuang Sun, Yaowen Lü, Xiping Xu. Non-iterative Discrete Gradient Integration Method Based on Two-Dimensional Taylor Theory[J]. Acta Optica Sinica, 2021, 41(12): 1220001
- Acta Optica Sinica
- Vol. 41, Issue 12, 1220001 (2021)
Fig. 1. Schematic of sampling point distribution. (a) Standard rectangular distribution; (b) non-standard rectangular distribution
Fig. 2. Schematic of filling non-matrix data
Fig. 3. Height map corresponding to three distributions of sampling points. (a) Standard rectangular distribution; (b) barrel distribution; (c) pillow distribution
Fig. 4. Surfaces reconstructed by proposed method. (a) Standard rectangular distribution; (b) barrel distribution; (c) pillow distribution
Fig. 5. Reconstruction error corresponding to standard rectangular distribution. (a) Proposed method; (b) Southwell method; (c) LSI-T method
Fig. 6. Reconstruction error corresponding to barrel distribution. (a) Proposed method; (b) Southwell method after resampling; (c) LSI-T method
Fig. 7. Reconstruction error corresponding to pillow distribution. (a) Proposed method; (b) Southwell method after resampling; (c) LSI-T method
Fig. 8. Schematic of the position of the target and blank points in the matrix. (a) Circular area; (b) area with small holes
Fig. 9. Comparison of computing time in two areas
Fig. 10. Influence of the number of sampling points on the computing time
Fig. 11. Setup of polarization reconstruction method based on circular polarized light
Fig. 12. Intensity at different rotation angles of the wave plate within the target area
Fig. 13. Gradient distribution in the target area. (a) Gradient along x direction; (b) gradient along y direction
Fig. 14. Reconstructed surface in the experiment
Fig. 15. Reconstruction error map by different methods. (a) Proposed method; (b) Southwell method after resampling
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Table 1. Height relationship corresponding to each model
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