TY - JOUR
T1 - Improved 3D Surface Reconstruction via the Method of Fundamental Solutions
AU - Zheng , Hui
AU - Wang , Feng
AU - S. Chen , C.
AU - Lei , M.
AU - Wang , Yong
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 973
EP - 985
PY - 2020
DA - 2020/06
SN - 13
DO - http://doi.org/10.4208/nmtma.OA-2019-0192
UR - https://global-sci.org/intro/article_detail/nmtma/16962.html
KW - Method of fundamental solutions, implicit surface, modified bi-Helmholtz equation, computer graphics, image reconstruction.
AB - <p style="text-align: justify;">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.</p>