TY - JOUR
T1 - Asymptotic Iterative Approximation of Intellectualized Periodic Interpolating Spline and its Application
AU - 
JO - Journal of Information and Computing Science
VL - 1
SP - 47
EP - 52
PY - 2024
DA - 2024/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22859.html
KW - Geometric reasoning
KW -  Mathematical Model
KW -  Computer Graphics, Spline Function, Computational 
Geometry, Woven Fabrics.  

AB -  This  paper  presents  an  efficient  and  sufficient  algorithm  to  approximate  general  interpolating 
Spline curve which goes through the given set of design-data points by using asymptotic iterative B-spline 
curves. Firstly, the given set is considered as the control points of a B-spline, to create the initial approximate 
curve, then the iterative grade is built based on the error between the initial approximate curve and given set, 
it is used to generate an iterative function sequence to approximate the interpolating function of the cover. 
New algorithms and approaches are successfully employed to create realistic and flexible geometry models 
for  the  centerline  of  yarns  in  woven  fabrics.  The  algorithm  described  on  this  paper  will  be  generalized  to 
wide  range  for  general  2D  and  3D  geometry  and  computer  graphics  with  regard  to  curves  and  surfaces, 
especially for complex geometrical models on CAD and CAM.