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Automatic 3D Shape Co-Segmentation Using Spectral Graph Method

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Abstract

Co-analyzing a set of 3D shapes is a challenging task considering a large geometrical variability of the shapes. To address this challenge, this paper proposes a new automatic 3D shape co-segmentation algorithm by using spectral graph method. Our method firstly represents input shapes as a set of weighted graphs and extracts multiple geometric features to measure the similarities of faces in each individual shape. Secondly all graphs are embedded into the spectral domain to find meaningful correspondences across the set. After that we build a joint weighted matrix for the graph set and then apply normalized cut criterion to find optimal co-segmentation of the input shapes. Finally we evaluate our approach on different categories of 3D shapes, and the experimental results demonstrate that our method can accurately co-segment a wide variety of shapes, which may have different poses and significant topology changes.

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Authors and Affiliations

  1. School of Information Science & Technology, Sun Yat-sen University, Guangzhou, 510006, China

    Hao-Peng Lei, Xiao-Nan Luo & Jian-Qiang Sheng

  2. National Engineering Research Center of Digital Life, Guangzhou, 510006, China

    Hao-Peng Lei, Xiao-Nan Luo, Shu-Jin Lin & Jian-Qiang Sheng

  3. Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen, 518057, China

    Hao-Peng Lei, Xiao-Nan Luo & Jian-Qiang Sheng

  4. School of Communication & Design, Sun Yat-sen University, Guangzhou, 510006, China

    Shu-Jin Lin

Authors
  1. Hao-Peng Lei
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  2. Xiao-Nan Luo
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  3. Shu-Jin Lin
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  4. Jian-Qiang Sheng
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Corresponding authors

Correspondence to Xiao-Nan Luo or Jian-Qiang Sheng.

Additional information

This work is supported by the National Basic Research 973 Program of China under Grant No. 2013CB329505, the National Natural Science Foundation of China Guangdong Joint Fund under Grant Nos. U1135005, U1201252, and the National Natural Science Foundation of China under Grant Nos. 61103162, 61232011.

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Lei, HP., Luo, XN., Lin, SJ. et al. Automatic 3D Shape Co-Segmentation Using Spectral Graph Method. J. Comput. Sci. Technol. 28, 919–929 (2013). https://doi.org/10.1007/s11390-013-1387-4

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  • DOI: https://doi.org/10.1007/s11390-013-1387-4

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