Xiaobo Cheng, Yundong Zhu, Xuezhu Lin, Funing Liu, Linxin Yin. Recurrence of Laplace Deformation Surface Based on Optimized Control Point Monitoring[J]. Laser & Optoelectronics Progress, 2022, 59(19): 1912002
- Laser & Optoelectronics Progress
- Vol. 59, Issue 19, 1912002 (2022)
Fig. 1. Flow chart of Laplace deformation
Fig. 2. Simplified models corresponding to different fixed ends. (a) Unilateral constraints; (b) adjacent constraint; (c) boundary constraints; (d) quadrilateral constraint; (e) trilateral constraints
Fig. 3. Deformation of standard components under random control points
Fig. 4. Distribution of deflection curve under simplified model
Fig. 5. Selecting control points according to deflection curve and different spacing. (a) Unilateral constraints; (b) adjacent constraint; (c) boundary constraints; (d) trilateral constraints; (e) quadrilateral constraint and unconstraint
Fig. 6. Mapping relationship diagram
Fig. 7. Diagram of proportional relation of y plane
Fig. 8. 3D reconstruction based on control points
Fig. 9. Optimal selection of control points. (a) Set a control point at maximum deflection; (b) add a control point in reverse direction of flexure; (c) control points are added one by one in reverse direction of flexure
Fig. 10. Analysis route of surface deformation［15］
Fig. 11. Deformation coincidence diagram of experimental surface. (a) Adjacent constraint; (b) boundary constraints; (c) quadrilateral constraint; (d) unilateral constraints
Fig. 12. Test deformation and control points diagram of an aircraft wing
Fig. 13. Deformation coincidence degree analysis of an aircraft wing
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Table 1. Deformation control point coincidence degree analysis of an aircraft wing
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Table 2. Advantages and disadvantages comparison between traditional methods and proposed method
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