Efficient 3D volume reconstruction from a point cloud using a phase-field method
type: Item
instance of: scholarly article
title: Efficient 3D volume reconstruction from a point cloud using a phase-field method
zbMATH Open document ID: 1427.94018
DOI: 10.1155/2018/7090186
author: Darae Jeong
author: Yibao Li
author: Heon Ju Lee
author: Sang Min Lee
author: Junxiang Yang
author: Seungwoo Park
author: Hyundong Kim
author: Yongho Choi
author: Junseok Kim
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 65D99
zbMATH DE Number: 7019395
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7090186
OpenAlex ID: W2788977943
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description: scientific article; zbMATH DE number 7019395