Improved 3D Surface Reconstruction Via The Method of Fundamental Solutions
Document Type
Article
Publication Date
11-1-2020
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
© 2020 Global-Science Press. 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.
Publication Title
Numerical Mathematics
Volume
13
Issue
4
First Page
973
Last Page
985
Recommended Citation
Zheng, H.,
Wang, F.,
Chen, C.,
Lei, M.,
Wang, Y.
(2020). Improved 3D Surface Reconstruction Via The Method of Fundamental Solutions. Numerical Mathematics, 13(4), 973-985.
Available at: https://aquila.usm.edu/fac_pubs/18196