Interpolation and Curve Fitting

Numerical Methods © Wen-Chieh Lin 31
Cubic B-Spline Surfaces
• Recall B-spline curve:
v
M
MX
u
Av
u
T
j
i
ij
v
u
x ,
T
T
)
,
(
2
1
1
2
3
0
1
4
1
0
3
0
3
0
3
6
3
1
3
3
1
1
6
1
)
(
i
i
i
i
T
i
p
p
p
p
u
u
u
u
B
Mp
u
2
2,
1
2,
2,
1
2,
2
1,
1
1,
1,
1
1,
2
,
1
,
,
1
,
2
1,
1
1,
1,
1
1,
j
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j
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j
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j
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j
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j
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j
i
j
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j
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j
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j
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j
i
j
i
ij
x
x
x
x
x
x
x
x
x
x
x
x
x
x
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x
X