三次T-B样条曲线与三次均匀有理B样条曲线光滑拼接

Continuous Conditions Between Cubic T-B-spline Curve and Cubic Uniform Rational B-spline Curve

改进了求解三次TC-B样条曲线的一般算法,得到三次T-B样条的表达式。基于三次B样条基函数,得到三次均匀有理B样条曲线的表达式。进而给出了三次T-B样条与三次均匀有理B样条的G0,G1,G2的光滑拼接条件。

This paper improves algorithm about TC-B-spline.The expression of cubic T-B-spline and cubic uniform rational B-spine are presented.Further more,the paper offers the G0,G1,G2continuous conditions between the two curves.This example is valuable in curve and surface modeling of computer aided geometric design.