Interpolation and Curve Fitting
Interpolation and Curve Fitting
Interpolation and Curve Fitting
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Hermite <strong>Curve</strong> Formation (cont.)<br />
• Including y <strong>and</strong> z components<br />
3<br />
2<br />
x(<br />
u)<br />
y(<br />
u)<br />
z(<br />
u)<br />
u<br />
u u 1<br />
<br />
3<br />
u<br />
P(u)<br />
u<br />
2<br />
u<br />
2<br />
<br />
<br />
3<br />
1 <br />
0<br />
<br />
1<br />
2<br />
3<br />
0<br />
0<br />
1<br />
2<br />
1<br />
0<br />
a<br />
<br />
b<br />
<br />
c<br />
<br />
d<br />
x<br />
x<br />
x<br />
1 <br />
xi<br />
1<br />
<br />
x<br />
<br />
i<br />
0 <br />
x'<br />
<br />
0 <br />
x'<br />
i<br />
u T M p<br />
x<br />
1<br />
i<br />
1<br />
y'<br />
i1<br />
y'<br />
i1<br />
<br />
<br />
<br />
<br />
<br />
<br />
z'<br />
i1<br />
z'<br />
i1<br />
<br />
<br />
<br />
<br />
<br />
<br />
Numerical Methods © Wen-Chieh Lin 13<br />
a<br />
b<br />
c<br />
d<br />
y<br />
y<br />
y<br />
y<br />
y<br />
y<br />
a<br />
b<br />
c<br />
d<br />
i<br />
i<br />
z<br />
z<br />
z<br />
z<br />
z<br />
z<br />
i<br />
i