• Acta Optica Sinica
  • Vol. 39, Issue 6, 0615002 (2019)
Jiabei Hu, Zhe Liu, Pengfei Zhang, Guohua Geng, and Yuhe Zhang*
Author Affiliations
  • School of Information Science & Technology, Northwest University, Xi’an, Shaanxi 710127, China
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    DOI: 10.3788/AOS201939.0615002 Cite this Article Set citation alerts
    Jiabei Hu, Zhe Liu, Pengfei Zhang, Guohua Geng, Yuhe Zhang. Feature Extraction of Scattered Point Clouds Based on Discrete Morse Theory[J]. Acta Optica Sinica, 2019, 39(6): 0615002 Copy Citation Text show less
    Delaunay neighborhood
    Fig. 1. Delaunay neighborhood
    Illustration of angle αpiformed between points
    Fig. 2. Illustration of angle αpiformed between points
    Approximate geodesic distance computation. (a) 1-order Delaunay neighborhood; (b) 2-order Delaunay neighborhood
    Fig. 3. Approximate geodesic distance computation. (a) 1-order Delaunay neighborhood; (b) 2-order Delaunay neighborhood
    Voronoi diagram
    Fig. 4. Voronoi diagram
    Gradient flow field from p
    Fig. 5. Gradient flow field from p
    Feature extraction effect of FunckyCube model. (a) FunckyCube model; (b) feature points
    Fig. 6. Feature extraction effect of FunckyCube model. (a) FunckyCube model; (b) feature points
    Feature extraction effect of Fandisk model. (a) Fandisk model; (b) feature points
    Fig. 7. Feature extraction effect of Fandisk model. (a) Fandisk model; (b) feature points
    Feature extraction effect of Vase model. (a) Vase model; (b) feature points
    Fig. 8. Feature extraction effect of Vase model. (a) Vase model; (b) feature points
    Feature extraction effect of RockerArm model. (a) RockerArm model; (b) feature points
    Fig. 9. Feature extraction effect of RockerArm model. (a) RockerArm model; (b) feature points
    Feature extraction results of noisy models. (a)(c)(e)(g) Noise of 0.03 dB; (b)(d)(f)(h) noise of 0.05 dB
    Fig. 10. Feature extraction results of noisy models. (a)(c)(e)(g) Noise of 0.03 dB; (b)(d)(f)(h) noise of 0.05 dB
    Point cloud models of Terracotta debris. (a) No.1 Terracotta debris; (b) No.2 Terracotta debris
    Fig. 11. Point cloud models of Terracotta debris. (a) No.1 Terracotta debris; (b) No.2 Terracotta debris
    Feature lines extracted by Park’s method. (a) Vase model; (b) RockerArm model; (c) No.1 Terracotta debris; (d) No.2 Terracotta debris
    Fig. 12. Feature lines extracted by Park’s method. (a) Vase model; (b) RockerArm model; (c) No.1 Terracotta debris; (d) No.2 Terracotta debris
    Feature lines of Wang’s method. (a) Vase model; (b) RockerArm model; (c) No.1 Terracotta debris; (d) No.2 Terracotta debris
    Fig. 13. Feature lines of Wang’s method. (a) Vase model; (b) RockerArm model; (c) No.1 Terracotta debris; (d) No.2 Terracotta debris
    Feature lines of proposed method. (a) Vase model; (b) RockerArm model; (c) No.1 Terracotta debris; (d) No.2 Terracotta debris
    Fig. 14. Feature lines of proposed method. (a) Vase model; (b) RockerArm model; (c) No.1 Terracotta debris; (d) No.2 Terracotta debris
    Line-drawings of Terracotta debris. (a) No.3 Terracotta debris; (b) line-drawing of Fig. 15(a); (c) No.4 Terracotta debris; (d) line-drawing of Fig. 15(c); (e) No.5 Terracotta debris; (f) line-drawing of Fig. 15(e); (g) No.6 Terracotta debris; (h) line-drawing of Fig. 15(g)
    Fig. 15. Line-drawings of Terracotta debris. (a) No.3 Terracotta debris; (b) line-drawing of Fig. 15(a); (c) No.4 Terracotta debris; (d) line-drawing of Fig. 15(c); (e) No.5 Terracotta debris; (f) line-drawing of Fig. 15(e); (g) No.6 Terracotta debris; (h) line-drawing of Fig. 15(g)
    Jiabei Hu, Zhe Liu, Pengfei Zhang, Guohua Geng, Yuhe Zhang. Feature Extraction of Scattered Point Clouds Based on Discrete Morse Theory[J]. Acta Optica Sinica, 2019, 39(6): 0615002
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