Interpolation and Curve Fitting
Interpolation and Curve Fitting
Interpolation and Curve Fitting
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Blending Functions of Hermite Splines<br />
• Each cubic Hermite spline is a linear combination of<br />
4 blending functions<br />
P(<br />
u)<br />
u<br />
geometric information<br />
T<br />
Mp<br />
P(<br />
u)<br />
3 2<br />
2<br />
u 3<br />
u 1<br />
pi<br />
<br />
3 2<br />
<br />
2<br />
u 3<br />
u<br />
<br />
p<br />
<br />
i<br />
3 2<br />
u 2<br />
u u<br />
p'<br />
<br />
3 2<br />
<br />
u u<br />
<br />
p<br />
'<br />
i<br />
T<br />
1<br />
i<br />
1<br />
<br />
<br />
<br />
<br />
<br />
<br />
Numerical Methods © Wen-Chieh Lin 15
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