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Laser & Optoelectronics Progress, Volume. 55, Issue 4, 041007(2018)

Three Dimensional Seismic Signal Denoising Based on Four-Dimensional Block Matching Cooperative Filtering Combined with Principle Component Analysis

Huan Zhang1, Yue Chi1、*, Yatong Zhou1, and Tingting Ren1
Author Affiliations
  • 1 Hebei Mobile Communication Co., Ltd., Shijiazhuang, Hebei 0 50022, China
  • 1 School of Electronic and Information Engineering, Hebei University of Technology, Tianjin 300401, China
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    Figures & Tables(5)
    Noise reduction curve of BM4D algorithm for different noise standard deviations

    Fig. 1. Noise reduction curve of BM4D algorithm for different noise standard deviations

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    Comparison of noise reduction results of 3D seismic signal 1 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D; (i) dwt

    Fig. 2. Comparison of noise reduction results of 3D seismic signal 1 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D; (i) dwt

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    Comparison of noise reduction results of 3D seismic signal 2 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D

    Fig. 3. Comparison of noise reduction results of 3D seismic signal 2 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D

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    Denoising performance curves of six algorithms (combined with BM4D) with noise standard deviation. (a) Absolute error of noise estimation; (b) noise estimation time; (c) SNR after denoising; (d) RMSE after denoising

    Fig. 4. Denoising performance curves of six algorithms (combined with BM4D) with noise standard deviation. (a) Absolute error of noise estimation; (b) noise estimation time; (c) SNR after denoising; (d) RMSE after denoising

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    • Table 1. Comparison of 3D seismic signal denoising performance of actual acquisition of BM4D with different noise estimates

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      Table 1. Comparison of 3D seismic signal denoising performance of actual acquisition of BM4D with different noise estimates

      σAlgorithmNoise estimationDenoising
      σestσest-σσest-σtSNR /dBRMSE
      PCA+BM4D1.00380.00380.00380.483638.32740.0073
      Kurtosis+BM4D0.9504-0.04950.049518.501738.35500.0073
      Mode+BM4D3.53832.53832.53831.918832.28050.0146
      1Median+BM4D4.82673.82673.82672.293231.31700.0163
      Min+BM4D0.7841-0.21590.21590.873637.92560.0076
      Mad+BM4D5.16964.16964.16962.776831.12800.0167
      dwt----33.81840.0123
      PCA+BM4D4.9785-0.02150.02150.686430.72980.0175
      Kurtosis+BM4D6.09581.09581.095818.158530.19720.0186
      Mode+BM4D11.18266.18266.18262.574028.88540.0216
      5Median+BM4D12.68407.68407.68401.872028.67210.0222
      Min+BM4D2.4576-2.54242.54240.998424.09720.0375
      Mad+BM4D13.90988.90988.90982.355628.51970.0226
      dwt----25.88900.0305
      PCA+BM4D9.9201-0.07890.07890.795628.30080.0231
      Kurtosis+BM4D11.20751.20751.207517.799728.10780.0237
      Mode+BM4D21.379011.379011.37901.965626.96550.0270
      10Median+BM4D23.869813.869813.86982.230826.78960.0275
      Min+BM4D4.7964-5.20365.20360.951618.38380.0724
      Mad+BM4D26.188616.188616.18862.340026.63630.0280
      dwt----23.20510.0497
      PCA+BM4D14.8590-0.14100.14100.436826.84450.0274
      Kurtosis+BM4D16.06951.06951.069518.127326.76920.0276
      Mode+BM4D31.429116.429116.42912.246425.60330.0316
      15Median+BM4D35.279320.279320.27932.324425.40180.0323
      Min+BM4D7.1561-7.84397.84390.889215.00050.1070
      Mad+BM4D38.729323.729323.72932.158225.23450.0329
      dwt----21.65460.0497
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    Huan Zhang, Yue Chi, Yatong Zhou, Tingting Ren. Three Dimensional Seismic Signal Denoising Based on Four-Dimensional Block Matching Cooperative Filtering Combined with Principle Component Analysis[J]. Laser & Optoelectronics Progress, 2018, 55(4): 041007

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    Paper Information

    Category: Image processing

    Received: Aug. 25, 2017

    Accepted: --

    Published Online: Sep. 11, 2018

    The Author Email: Chi Yue (chiyueliuxin@126.com)

    DOI:10.3788/LOP55.041007

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology