Interpolation and Curve Fitting
Interpolation and Curve Fitting
Interpolation and Curve Fitting
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Hermite <strong>Curve</strong> Formation (cont.)<br />
• The coefficients can be expressed as linear<br />
combination of geometric information<br />
a<br />
b<br />
c<br />
d<br />
x<br />
x<br />
x<br />
x<br />
2(<br />
x<br />
3(<br />
x<br />
x<br />
'<br />
x<br />
i<br />
i<br />
i<br />
i1<br />
x<br />
i1<br />
x<br />
i<br />
) x<br />
'<br />
i<br />
) 2<br />
x'<br />
a<br />
<br />
b<br />
<br />
c<br />
<br />
d<br />
x<br />
x<br />
x<br />
x<br />
x<br />
'<br />
i<br />
i1<br />
x<br />
'<br />
2<br />
<br />
3<br />
<br />
<br />
0<br />
<br />
1<br />
i1<br />
2<br />
3<br />
0<br />
0<br />
1<br />
2<br />
1<br />
0<br />
1 <br />
xi<br />
1<br />
<br />
x<br />
<br />
i<br />
0 <br />
x'<br />
<br />
0 <br />
x'<br />
i<br />
1<br />
i<br />
1<br />
<br />
<br />
<br />
<br />
<br />
<br />
Numerical Methods © Wen-Chieh Lin 11
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