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, Junseok Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Article number7090186
JournalMathematical Problems in Engineering
Volume2018
DOIs
Publication statusPublished - 2018 Jan 1

Fingerprint

Phase Field
Point Cloud
Image segmentation
Numerical methods
Hybrid Method
Image Segmentation
Binary images
Numerical Methods
Three-dimensional
Binary Image
Reconstruction Algorithm
3D Image
Speedup
Numerical Experiment
Experiments
Demonstrate
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method. / Jeong, Darae; Li, Yibao; Lee, Heon Ju; Lee, Sang Min; Yang, Junxiang; Park, Seungwoo; Kim, Hyundong; Choi, Yongho; Kim, Junseok.

In: Mathematical Problems in Engineering, Vol. 2018, 7090186, 01.01.2018.

Research output: Contribution to journalArticle

Jeong, Darae ; Li, Yibao ; Lee, Heon Ju ; Lee, Sang Min ; Yang, Junxiang ; Park, Seungwoo ; Kim, Hyundong ; Choi, Yongho ; Kim, Junseok. / Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method. In: Mathematical Problems in Engineering. 2018 ; Vol. 2018.
@article{dd4302ceb7ee43f287f4d60c37ae5d1d,
title = "Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method",
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.",
author = "Darae Jeong and Yibao Li and Lee, {Heon Ju} and Lee, {Sang Min} and Junxiang Yang and Seungwoo Park and Hyundong Kim and Yongho Choi and Junseok Kim",
year = "2018",
month = "1",
day = "1",
doi = "10.1155/2018/7090186",
language = "English",
volume = "2018",
journal = "Mathematical Problems in Engineering",
issn = "1024-123X",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method

AU - Jeong, Darae

AU - Li, Yibao

AU - Lee, Heon Ju

AU - Lee, Sang Min

AU - Yang, Junxiang

AU - Park, Seungwoo

AU - Kim, Hyundong

AU - Choi, Yongho

AU - Kim, Junseok

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85042552290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042552290&partnerID=8YFLogxK

U2 - 10.1155/2018/7090186

DO - 10.1155/2018/7090186

M3 - Article

AN - SCOPUS:85042552290

VL - 2018

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 7090186

ER -