Interpolation and Curve Fitting
Interpolation and Curve Fitting
Interpolation and Curve Fitting
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Blending Functions of Cubic B-Splines<br />
• Represent cubic b-spline as<br />
B<br />
• Blending functions<br />
b<br />
b<br />
b<br />
3<br />
(1 u<br />
)<br />
6<br />
3<br />
u 2<br />
u<br />
2<br />
3<br />
u u<br />
<br />
2 2<br />
1<br />
<br />
0<br />
<br />
i( u)<br />
b<br />
1<br />
pi<br />
1<br />
b<br />
0<br />
pi<br />
b<br />
1pi1<br />
b<br />
2<br />
pi<br />
2<br />
2<br />
3<br />
u<br />
<br />
2<br />
1<br />
<br />
b<br />
1<br />
u<br />
<br />
6<br />
3<br />
1<br />
6<br />
b 0(<br />
u )<br />
b 1<br />
( u)<br />
b <br />
( ) ( )<br />
1<br />
u<br />
2 u<br />
Numerical Methods © Wen-Chieh Lin 25<br />
b<br />
2
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