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

Darae Jeong, Yibao Li, Heon Ju Lee, Sang Min Lee, Junxiang Yang, Seungwoo Park, Hyundong Kim, Yongho Choi and Junseok Kim

Mathematical Problems in Engineering, 2018, vol. 2018, 1-9

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7090186

DOI: 10.1155/2018/7090186

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