Yongyu Wei, Chunkang Zhang, Xiaomei Shao, Yutian Ji, Yao Yin. Extraction and Simplification of three-dimensional Point Cloud Topological Features Using Piecewise Linear Morse Theory[J]. Laser & Optoelectronics Progress, 2022, 59(18): 1828005
- Laser & Optoelectronics Progress
- Vol. 59, Issue 18, 1828005 (2022)
Fig. 1. Computation of index function
Fig. 2. Weight computation of feature points
Fig. 3. Homomorphic shrinkage algorithm. (a) Before simplification; (b) after simplification
Fig. 4. Schematic of retention index
Fig. 5. Flow chart of the proposed algorithm
Fig. 6. Raw data. (a) kerolamp model; (b) helix model
Fig. 7. Delaunay triangulation construction. (a) kerolamp model; (b) helix model
Fig. 8. Piecewise linear falling Morse complex extracted by the proposed algorithm. (a) kerolamp model; (b) helix model
Fig. 9. Piecewise linear falling Morse complex extracted by the method in Ref.[24]. (a) kerolamp model; (b) helix model
Fig. 10. Feature extraction results for kerolamp model in different thresholds. (a) λ=0.8,XT =0.23; (b) λ=0.8,XT =0.3; (c) λ=0.8,XT =0.32
Fig. 11. Feature extraction results for helix model in different thresholds. (a) λ=0.7,XT
Fig. 12. Feature extraction results for model 1 in different noise levels. (a) 0 dB; (b) 10 dB; (c) 20 dB; (d) 50 dB
| |||||||||||||||
Table 1. Comparison of different methods for kerolamp model
Set citation alerts for the article
Please enter your email address
© Copyright 2018-2021 | Chinese Laser Press. All Rights Reserved 沪ICP备15018463号-20