TY - JOUR
T1 - Using Radial Basis Functions to Solve Geodesics Equations for Body Measurements
AU - 
JO - Journal of Information and Computing Science
VL - 2
SP - 119
EP - 126
PY - 2024
DA - 2024/01
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22809.html
KW - Geodesics, Radial Basis Functions 

AB -  For  the  application  of  apparel  industry,  3D  body  measurements  are  the  minimal  arc  length 
distances between the point couples along the body surface.  The calculation of geodesics is nontrivial, and 
can only be approximated for free-form surfaces, because the computation of geodesics requires solving a set 
of  ordinary  differential  equations  (geodesics  equations),  which  do  not  exhibit  any  closed  form  solution  for 
free-form surfaces.  In this article, the method of radial basis function (RBF) is used in solving the geodesics 
equations  based  on  the  bicubic  tensor  product  Bezier  patches.    This  method  does  not  require  any  mesh  to 
support the localized approximations.  The accuracy and efficiency of this meshless collocation method are 
examined by comparison to the Ritz’s method.