Laser & Optoelectronics Progress, Volume. 55, Issue 11, 112801(2018)

Comparison and Analysis of Gaussian Decomposition and Gaussian Wavelet Decomposition for GLAS Full Waveform Data

Dongmei Huang1, Jiheng Xu1, Wei Song1, Zhenhua Wang1, and Xiangfeng Liu2、*
Author Affiliations
  • 1 College of Information Technology, Shanghai Ocean University, Shanghai 201306, China
  • 2 Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
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    Figures & Tables(11)
    Diagram of GLAS original waveform
    Results of full waveform data processing. (a) Regularized waveform; (b) filtered waveform; (c) waveform after removing background noise
    Schematic of Gaussian decomposition
    Wavelet analysis diagrams at different scales
    Laser foot point distributions of several typical ground objects. (a) Barren of flat area; (b) grassland of flat area; (c) buildings of town area; (d) woodland of flat area; (e) barren of slope area; (f) grassland of slope area; (g) terraces of hilly area; (h) woodland of slope area
    Original echo waveforms of several typical ground objects. (a) Barren of flat area; (b) grassland of flat area; (c) buildings of town area; (d) woodland of flat area; (e) barren of slope area; (f) grassland of slope area; (g) terraces of hilly area; (h) woodland of slope area
    Pre-processed waveforms of several typical ground objects and fitting results of waveform component of Gaussian decomposition and Gaussian wavelet decomposition. (a) Barren of flat area; (b) grassland of flat area; (c) buildings of town area; (d) woodland of flat area; (e) barren of slope area; (f) grassland of slope area; (g) terraces of hilly area; (h) woodland of slope area
    • Table 1. Analysis and comparison of barren with Gaussian decomposition and Gaussian wavelet decomposition for the barren

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      Table 1. Analysis and comparison of barren with Gaussian decomposition and Gaussian wavelet decomposition for the barren

      Item(a) Flat area(e) Slope area
      GaussianGaussian waveletGaussianGaussian wavelet
      Best fit0.99960.99960.99840.9984
      Number of best fits661111
      A10.31790.31790.43050.4305
      t157.246857.246853.002053.0020
      σ15.03505.03505.57695.5769
    • Table 2. Analysis and comparison of grassland with Gaussian decomposition and Gaussian wavelet decomposition for grassland

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      Table 2. Analysis and comparison of grassland with Gaussian decomposition and Gaussian wavelet decomposition for grassland

      Item(b) Flat area(f) Slope area
      GaussianGaussian waveletGaussianGaussian wavelet
      Best fit0.99560.99560.98290.9829
      Number of best fits12131516
      A11.30811.30810.17220.1722
      t163.584263.584264.140364.1403
      σ17.33817.33817.70797.7079
    • Table 3. Analysis and comparison of buildings and terraces with Gaussian decomposition and Gaussian wavelet decomposition for buildings and terraces

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      Table 3. Analysis and comparison of buildings and terraces with Gaussian decomposition and Gaussian wavelet decomposition for buildings and terraces

      Item(c) Buildings of town area(g) Terraces of hilly area
      GaussianGaussian waveletGaussianGaussian wavelet
      Best fit0.99810.99810.99200.9920
      Number of best fits772327
      A10.21020.21020.15430.1544
      t155.515755.515754.738254.7377
      σ15.31765.31762.31662.3157
      A20.51090.51090.08870.0881
      t2106.0804106.080473.169273.1642
      σ26.11926.119210.263010.2476
      A30.43960.4397
      t388.244388.2433
      σ34.58354.5835
      A40.18620.1862
      t4108.9126108.9099
      σ410.568310.5702
    • Table 4. Analysis and Comparison of woodland with Gaussian Decomposition and Gaussian Wavelet Decomposition for woodland

      View table

      Table 4. Analysis and Comparison of woodland with Gaussian Decomposition and Gaussian Wavelet Decomposition for woodland

      Item(d) Flat area(h) Slope area
      GaussianGaussian waveletGaussianGaussian wavelet
      Best fit0.99360.99360.96270.9620
      Number of best fits13151826
      A10.27030.27040.61790. 6175
      t131.167331.166337.246837.2567
      σ17.92967.929215.035015.0345
      A20.43860.43900.80810.8087
      t268.111768.111286.584286.5850
      σ28.52778.528020.338120.3371
      A30.69910.69960.83330.8335
      t382.495082.4948134.0692134.0696
      σ36.24676.246515.145015.1449
      A40.82170.82201.12651.1366
      t4108.0550108.0549171.9490171.9488
      σ410.479210.480018.125418.1256
      A50.94130.94100.85820.8588
      t5131.9899131.9901224.5302224.5348
      σ59.73869.738917.764917.7659
      A60.70400.70380.14920.1502
      t6166.1897166.1892246.1238246.1312
      σ611.845211.84475.12045.1219
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    Dongmei Huang, Jiheng Xu, Wei Song, Zhenhua Wang, Xiangfeng Liu. Comparison and Analysis of Gaussian Decomposition and Gaussian Wavelet Decomposition for GLAS Full Waveform Data[J]. Laser & Optoelectronics Progress, 2018, 55(11): 112801

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    Paper Information

    Category: Remote Sensing and Sensors

    Received: May. 8, 2018

    Accepted: May. 29, 2018

    Published Online: Aug. 14, 2019

    The Author Email: Xiangfeng Liu (xiangfeng_liu@163.com)

    DOI:10.3788/LOP55.112801

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