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Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method

Author

Listed:
  • Darae Jeong
  • Yibao Li
  • Heon Ju Lee
  • Sang Min Lee
  • Junxiang Yang
  • Seungwoo Park
  • Hyundong Kim
  • Yongho Choi
  • Junseok Kim

Abstract

We propose an explicit hybrid numerical method for the efficient 3D volume reconstruction from unorganized point clouds using a phase-field method. The proposed three-dimensional volume reconstruction algorithm is based on the 3D binary image segmentation method. First, we define a narrow band domain embedding the unorganized point cloud and an edge indicating function. Second, we define a good initial phase-field function which speeds up the computation significantly. Third, we use a recently developed explicit hybrid numerical method for solving the three-dimensional image segmentation model to obtain efficient volume reconstruction from point cloud data. In order to demonstrate the practical applicability of the proposed method, we perform various numerical experiments.

Suggested Citation

  • Darae Jeong & Yibao Li & Heon Ju Lee & Sang Min Lee & Junxiang Yang & Seungwoo Park & Hyundong Kim & Yongho Choi & Junseok Kim, 2018. "Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, February.
    • Handle: RePEc:hin:jnlmpe:7090186
    DOI: 10.1155/2018/7090186
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