GC^3连续的γ—样条

GC^3 Continued γ—Spline

1.引言在计算机辅助几何设计中,γ-样条是构造GC^2(曲率)连续曲线的有效手段(见文[1],[2]).因为它是满足GC^2连续的最低次的分段多项式参数曲线,其由型值点{d_j}

This paper gives a necessary and sufficient, condition of the GC^3 continuity for the γ—spline and the constructive algorithms of the GC^3 continued γ—spline.