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Laser & Optoelectronics Progress, Volume. 57, Issue 10, 101016(2020)

Improved Poisson Reconstruction Algorithm Based on Vector Field and Isosurface

Feng Gao1, Hong Zhou1、*, and Chao Huang2
Author Affiliations
  • 1School of Air Transport, Shanghai University of Engineering and Technology, Shanghai 201620, China
  • 2School of Urban Rail Transit, Shanghai University of Engineering and Technology, Shanghai 201620, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (14)
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    References (18)
    Cited By (2)
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    Figures & Tables(14)
    Flow chart of improved Poisson surface reconstruction algorithm

    Fig. 1. Flow chart of improved Poisson surface reconstruction algorithm

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    Flow chart of normal estimation

    Fig. 2. Flow chart of normal estimation

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    Normal vector fitting structure diagram

    Fig. 3. Normal vector fitting structure diagram

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    Results of ambiguity of MC algorithm. (a) Two forms, (b) four results

    Fig. 4. Results of ambiguity of MC algorithm. (a) Two forms, (b) four results

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    Structure diagram of different algorithms. (a) MC algorithm; (b) improved DC algorithm

    Fig. 5. Structure diagram of different algorithms. (a) MC algorithm; (b) improved DC algorithm

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    Comparison of filtering effect of the proposed algorithm. (a) Original point cloud dataset; (b) K=30; (c) K=50; (d) K=70

    Fig. 6. Comparison of filtering effect of the proposed algorithm. (a) Original point cloud dataset; (b) K=30; (c) K=50; (d) K=70

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    Visualization of normal estimation. (a) (e)(i) Point cloud after preprocessing; (b)(f)(j) normal estimation of two traditional algorithms; (c)(g)(k) normal estimation of Ref. [18]; (d)(h)(l) normal estimation of improved algorithm

    Fig. 7. Visualization of normal estimation. (a) (e)(i) Point cloud after preprocessing; (b)(f)(j) normal estimation of two traditional algorithms; (c)(g)(k) normal estimation of Ref. [18]; (d)(h)(l) normal estimation of improved algorithm

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    Comparison of time complexity between four algorithms

    Fig. 8. Comparison of time complexity between four algorithms

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    Comparison of surface reconstruction with four algorithms. (a)(e) Reconstruction of traditional Poisson algorithm; (b)(f) reconstruction of algorithm in Ref. [18]; (c)(g) reconstruction of greedy projection triangulation algorithm; (d)(h) reconstruction of improved algorithm in this paper

    Fig. 9. Comparison of surface reconstruction with four algorithms. (a)(e) Reconstruction of traditional Poisson algorithm; (b)(f) reconstruction of algorithm in Ref. [18]; (c)(g) reconstruction of greedy projection triangulation algorithm; (d)(h) reconstruction of improved algorithm in this paper

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    Improved algorithm for surface reconstruction of different point cloud data. (a) Table model reconstruction; (b) pig model reconstruction; (c) horse model reconstruction

    Fig. 10. Improved algorithm for surface reconstruction of different point cloud data. (a) Table model reconstruction; (b) pig model reconstruction; (c) horse model reconstruction

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    • Table 1. Comparison of number of point clouds before and after denoising of different point clouds

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      Table 1. Comparison of number of point clouds before and after denoising of different point clouds

      MethodNumber of point clouds
      RabbitHorseHandTablePig
      Before denoising3594748485327323460400502964
      After denoising3101841977285671451410439329

    • Table 2. Comparison of reconstruction time for different point cloud data

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      Table 2. Comparison of reconstruction time for different point cloud data

      AlgorithmTime /s
      RabbitHorseHandTablePig
      Traditional Poisson2635153217146
      Greedy projectiontriangulation1016587039
      Ref. [18]2735152210148
      Improved algorithm202910715276

    • Table 3. Patch number of the reconstructed model of four algorithms

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      Table 3. Patch number of the reconstructed model of four algorithms

      AlgorithmNumber of model patches
      RabbitHorseHandTablePig
      Traditional Poisson2698536556260869382635362543
      Greedy projectiontriangulation6242782328558510746385712476
      Ref. [18]2759337386270170386528375241
      Improved3871246634297823396427385894

    • Table 4. Reconstructed model accuracy of four algorithms

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      Table 4. Reconstructed model accuracy of four algorithms

      AlgorithmPrecision /mmCompletion /%
      Traditional Poisson4.486.53
      Greedy projectiontriangulation4.291.48
      Ref. [18]4.488.72
      Improved4.192.81
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    Feng Gao, Hong Zhou, Chao Huang. Improved Poisson Reconstruction Algorithm Based on Vector Field and Isosurface[J]. Laser & Optoelectronics Progress, 2020, 57(10): 101016

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    Paper Information

    Category: Image Processing

    Received: Aug. 29, 2019

    Accepted: Oct. 22, 2019

    Published Online: May. 8, 2020

    The Author Email: Hong Zhou (1013689903@qq.com)

    DOI:10.3788/LOP57.101016

    Topics

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