摘要
This paper proposes a method to construct an G^(3)cubic spline curve from any given open control polygon.For any two inner Bezier points on each edge of a control polygon,we can de ne each Bezier junction point such that the spline curve is G2-continuous.Then by suitably choosing the inner Bezier points,we can construct a global G^(3)spline curve.The curvature combs and curvature plots show the advantage of the G^(3)cubic spline curve in contrast with the traditional C2 cubic spline curve.
基金
The authors were supported by the NSF of China(No.61872328),NKBRPC(2011CB302400)
SRF for ROCS SE.and the Youth Innovation Promotion Association CAS.
