Infrared and Laser Engineering, Volume. 50, Issue 10, 20200501(2021)

Application of Gaussian Mixture Clustering to moving surface fitting filter classification

Chengbin Xing1,2, Shengsheng Gong1,2、*, Xiaoliang Yu1,2, and Yixin Li3
Author Affiliations
  • 1Tianjin Survey and Design Institute for Water Transport Engineering Co., Ltd.,Tianjin 300456, China
  • 2Tianjin Research Institue for Water Transport Engineering, Ministry of Transport of the People's Republic of China, Tianjin 300456, China
  • 3School of Economics and Management, Changsha University of Science and Technology, Changsha 410014, China
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    Figures & Tables(13)
    Grid division of survey area and selection of seed points
    Point cloud real elevation and fitting elevation distribution
    Angle threshold method to inspect building points
    Dimensionality reduction processing of 3D data
    Moving surface algorithm of EM-GMM model
    Data display of the 28th grid in the industrial zone
    Data display of the 56th grid in the industrial zone
    Three types of errors and Kappa coefficient distributions of the two types of clustering algorithms
    Two types of clustering algorithms show the data processing of Samp53
    Two types of clustering algorithms show the processing of the specified grid data in Samp53
    • Table 1. Three types of errors and Kappa coefficient judgment method

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      Table 1. Three types of errors and Kappa coefficient judgment method

      Test sampleSample nameTopographic features
      Site1Samp11Vegetation and buildings on steep slopes
      Samp12Small features
      Site2Samp21Narrow bridge
      Samp22Bridge/passage
      Samp23Complex and huge buildings, intermittent terrain
      Samp24Slope
      Site3Samp31Cluster low-value points (multi-path effect)
      Site4Samp41Discontinuous terrain
      Samp42Buildings, high-frequency undulating features
      Site5Samp51Vegetation on the slope
      Samp52Low vegetation, fractured steep ridges
      Samp53Intermittent terrain
      Samp54Low-resolution building points
      Site6Samp61Low-resolution building points
      Site7Samp71Bridge, discontinuous terrain
    • Table 2. Topographic features and error distribution of the survey area

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      Table 2. Topographic features and error distribution of the survey area

      Total numberType I errorType II errorTotal errorPAPCKappa
      pe=pa+pb+pc+pdpb/(pa+pb) pc/(pc+pd) (pb+pc)/pe(pa+pd)/pe[(pa+pb)(pa+pc)+(pc+pd)(pb+pd)]/pe2(PA-PC)/(1-PC)
    • Table 3. Two types of clustering algorithms for data sample error statistics

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      Table 3. Two types of clustering algorithms for data sample error statistics

      Algorithm typeGaussian clustering model classification algorithmPedigree clustering model classification algorithm
      Sample nameType I errorType II errorTotal errorKappa coefficientType I errorType II errorTotal errorKappa coefficient
      Samp113.43%14.38%5.40%81.79%22.25%6.38%13.82%72.00%
      Samp123.68%6.25%5.15%89.56%10.06%6.01%8.36%83.01%
      Samp211.59%4.52%2.54%94.19%8.89%8.64%8.81%80.37%
      Samp227.31%6.15%6.48%84.16%10.81%22.41%13.09%61.71%
      Samp239.16%9.81%9.56%80.13%15.38%16.82%16.26%66.47%
      Samp243.70%14.2%7.32%83.45%28.82%10.15%20.12%60.15%
      Samp314.04%6.24%5.22%89.51%9.18%12.50%10.00%74.48%
      Samp411.95%2.17%2.04%95.81%5.61%3.53%4.77%90.18%
      Samp425.56%3.87%4.21%87.53%7.42%7.46%7.45%84.46%
      Samp514.91%4.84%4.90%86.23%16.39%8.51%12.96%74.01%
      Samp529.36%10.53%9.72%77.84%14.67%7.27%11.54%76.76%
      Samp535.75%15.79%6.48%60.69%10.27%34.04%14.39%52.59%
      Samp545.34%1.30%3.16%93.62%5.13%12.23%8.98%82.03%
      Samp612.67%5.88%2.85%76.53%10.94%0.00%9.15%72.69%
      Samp713.23%7.25%4.26%88.60%5.29%12.90%7.80%82.26%
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    Chengbin Xing, Shengsheng Gong, Xiaoliang Yu, Yixin Li. Application of Gaussian Mixture Clustering to moving surface fitting filter classification[J]. Infrared and Laser Engineering, 2021, 50(10): 20200501

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    Paper Information

    Category: Image processing

    Received: Dec. 18, 2020

    Accepted: --

    Published Online: Dec. 7, 2021

    The Author Email: Shengsheng Gong (csu_gong@sina.com.cn)

    DOI:10.3788/IRLA20200501

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