Zichao Chen, Wen Ren, Long Wu. KD-Tree-Guided Surface-Curvature-Driven SteelBillet Point-Cloud Simplification Algorithm[J]. Laser & Optoelectronics Progress, 2025, 62(2): 0215006

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- Laser & Optoelectronics Progress
- Vol. 62, Issue 2, 0215006 (2025)

Fig. 1. KDSCP algorithm flow

Fig. 2. Three-dimensional space KD-tree segmentation diagram

Fig. 3. KD-tree partition plan

Fig. 4. k-nearest neighbor search example

Fig. 5. Centroid nearest neighbor point simplification method

Fig. 6. Collection field of point cloud data for steel billets

Fig. 7. Schematic diagram of structured light scanner data acquisition

Fig. 8. Simplification results and packaging model of KDSCP. (a) (h) Original point cloud encapsulation model; (b)(i) simplify 55.56%; (c)(j) simplify 65.44%; (d)(k) simplify 75.31%; (e)(l) simplify 85.19%

Fig. 9. Simplification results and packaging model of random sampling method. (a)(h) Original point cloud encapsulation model; (b)(i) simplify 55.56%; (c)(j) simplify 65.44%; (d)(k) simplify 75.31%; (e)(l) simplify 85.19%

Fig. 10. Simplification results and packaging model of Improved curvature sampling method. (a)(h) Original point cloud encapsulation model; (b) (i) simplify 55.62%; (c)(j) simplify 65.95%; (d) (k) simplify 75.26%; (e) (l) simplify 85.19%

Fig. 11. Turbine 3D model

Fig. 12. KDSCP-based encapsulated turbine model. (a) Original turbine model; (b) simplify 54.75%; (c) simplify 64.77%; (d) simplify 75.43%; (e) simplify 85.45%

Fig. 13. Random sampling method-based encapsulated turbine model. (a) Original turbine model; (b) simplify 54.75%; (c) simplify 64.77%; (d) simplify 75.43%; (e) simplify 85.45%

Fig. 14. Improved curvature sampling method-based encapsulated turbine model. (a) Original turbine model; (b) simplify 54.77%; (c) simplify 65.14%; (d) simplify 75.42%; (e) simplify 85.61%

Fig. 15. Key feature areas of steel billet point cloud

Fig. 16. Comparison of key feature retention rates of three methods under different simplification rates

Fig. 17. Comparison of PSNR for steel billet simplification results using three methods under different reduction rates

Fig. 18. Comparison of point cloud information entropy in simplified results of steel billet

Fig. 19. Comparison of point cloud information entropy in simplified results of turbine
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Table 1. Comparison of hausdorff distance for simplification results of three methods

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