• Laser & Optoelectronics Progress
  • Vol. 59, Issue 8, 0812001 (2022)
Yutian Ji, Chunkang Zhang*, and Yao Yin
Author Affiliations
  • College of Mining, Guizhou University, Guiyang , Guizhou 550025, China
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    DOI: 10.3788/LOP202259.0812001 Cite this Article Set citation alerts
    Yutian Ji, Chunkang Zhang, Yao Yin. Extraction and Simplification of Terrain Surface Topological Features Based on PiecewiseLinear Morse Theory[J]. Laser & Optoelectronics Progress, 2022, 59(8): 0812001 Copy Citation Text show less
    Neighborhood comparison algorithm to determine critical points. (a) Peak; (b) pit; (c) saddle
    Fig. 1. Neighborhood comparison algorithm to determine critical points. (a) Peak; (b) pit; (c) saddle
    Morse-Smale complex construction. (a) Rising Morse complex; (b) falling Morse complex; (c) Morse-Smale complex
    Fig. 2. Morse-Smale complex construction. (a) Rising Morse complex; (b) falling Morse complex; (c) Morse-Smale complex
    Feature extraction result graph. (a) Raw point cloud data; (b) Delaunaytriangulationconstruction; (c) piecewise linear Morse feature extraction
    Fig. 3. Feature extraction result graph. (a) Raw point cloud data; (b) Delaunaytriangulationconstruction; (c) piecewise linear Morse feature extraction
    Diagram of Experimental results. (a) Falling Morse Complex; (b) rising Morse Complex; (c) Morse-Smale complex and triangulation fitting; (d) partial details of Morse-Smale complex
    Fig. 4. Diagram of Experimental results. (a) Falling Morse Complex; (b) rising Morse Complex; (c) Morse-Smale complex and triangulation fitting; (d) partial details of Morse-Smale complex
    ModelNumber of point cloudsPoint cloud compressionPoint cloud compression ratio
    Original point clouds14641
    Feature extraction9328531336.29%
    Topology simplification4286504270.73%
    Table 1. Point cloud compression
    Yutian Ji, Chunkang Zhang, Yao Yin. Extraction and Simplification of Terrain Surface Topological Features Based on PiecewiseLinear Morse Theory[J]. Laser & Optoelectronics Progress, 2022, 59(8): 0812001
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