6.7593(0.30 x)3 4.8810(x 0.25)3 10.0169(0.30 x) 10.9662(x 0.25)
x 0.25,0.30
2.7117(0.39 x)3 1.9098(x 0.30)3 6.1075(0.39 x) 6.9544(x 0.30) x 0.30,0.39 S(x) 33
2.8647(0.45 x) 2.2422(x 0.39) 10.4186(0.45 x) 10.9662(x 0.39) x 0.39,0.45
1.6817(0.53 x)3 1.3623(x 0.45)3 8.3958(0.53 x) 9.1087(x 0.45) x 0.45,0.53
(2)S (x0) 0,S (x4) 0
d0 2f0 0,d1 4.3157,d2 3.2640
d 2.4300,d
34 2f4 0
0 4 0
由此得矩阵开工的方程组为
M0 M4 0 290
14
32 2 M1 4.3157
55 M
2 3.2640 M3 2.4300
0372
求解此方程组，得
M0 0,M1 1.8809
M2 0.8616,M3 1.0304,M4 0
又 三次样条表达式为
S(x) M(xj 1 x)3
(x xj)3
j6h Mj 1
j
6hjM2
(yM2
jhj
j 1 xj 1hj
j
6
)
xh (yj 1
6
)
x x
jj
hj
将M0,M1,M2,M3,M4代入得