Improved 3d surface reconstruction via themethod of fundamental solutions

Hui Zheng; Feng Wang; C. S. Chen; M. Lei; Yong Wang

doi:10.4208/NMTMA.OA-2019-0192

Improved 3d surface reconstruction via themethod of fundamental solutions

Hui Zheng
, Feng Wang
, C. S. Chen
, M. Lei
, Yong Wang

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A new mathematical model of the modified bi-Helmholtz equation is proposed for the reconstruction of 3D implicit surfaces using the method of fundamental solutions. In the algorithm, we also show how to properly determine the parameter so that the spurious surface can be avoided. The main attraction of the proposed method is its simplicity. Four examples for the surface reconstruction are presented to validate the proposed numerical model.

Original language	English
Pages (from-to)	973-985
Number of pages	13
Journal	Numerical Mathematics
Volume	13
Issue number	4
DOIs	https://doi.org/10.4208/NMTMA.OA-2019-0192
State	Published - Nov 2020

Keywords

Computer graphics
Image reconstruction
Implicit surface
Method of fundamental solutions
Modified bi-Helmholtz equation

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10.4208/NMTMA.OA-2019-0192

Cite this

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title = "Improved 3d surface reconstruction via themethod of fundamental solutions",

abstract = "A new mathematical model of the modified bi-Helmholtz equation is proposed for the reconstruction of 3D implicit surfaces using the method of fundamental solutions. In the algorithm, we also show how to properly determine the parameter so that the spurious surface can be avoided. The main attraction of the proposed method is its simplicity. Four examples for the surface reconstruction are presented to validate the proposed numerical model.",

keywords = "Computer graphics, Image reconstruction, Implicit surface, Method of fundamental solutions, Modified bi-Helmholtz equation",

author = "Hui Zheng and Feng Wang and Chen, \{C. S.\} and M. Lei and Yong Wang",

note = "Publisher Copyright: {\textcopyright} 2020 Global-Science Press.",

year = "2020",

month = nov,

doi = "10.4208/NMTMA.OA-2019-0192",

language = "English",

volume = "13",

pages = "973--985",

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AU - Zheng, Hui

AU - Wang, Feng

AU - Chen, C. S.

AU - Lei, M.

AU - Wang, Yong

PY - 2020/11

Y1 - 2020/11

N2 - A new mathematical model of the modified bi-Helmholtz equation is proposed for the reconstruction of 3D implicit surfaces using the method of fundamental solutions. In the algorithm, we also show how to properly determine the parameter so that the spurious surface can be avoided. The main attraction of the proposed method is its simplicity. Four examples for the surface reconstruction are presented to validate the proposed numerical model.

AB - A new mathematical model of the modified bi-Helmholtz equation is proposed for the reconstruction of 3D implicit surfaces using the method of fundamental solutions. In the algorithm, we also show how to properly determine the parameter so that the spurious surface can be avoided. The main attraction of the proposed method is its simplicity. Four examples for the surface reconstruction are presented to validate the proposed numerical model.

KW - Computer graphics

KW - Image reconstruction

KW - Implicit surface

KW - Method of fundamental solutions

KW - Modified bi-Helmholtz equation

UR - https://www.scopus.com/pages/publications/85091451521

U2 - 10.4208/NMTMA.OA-2019-0192

DO - 10.4208/NMTMA.OA-2019-0192

M3 - Article

AN - SCOPUS:85091451521

SN - 1004-8979

VL - 13

SP - 973

EP - 985

JO - Numerical Mathematics

JF - Numerical Mathematics

IS - 4

ER -

Improved 3d surface reconstruction via themethod of fundamental solutions

Abstract

Keywords

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