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The blending functions are shown in Figure 11.1. As expected, only the weight
corresponding to P is nonzero at
=
, and only the weight corresponding to P is
t
0
nonzero at
=
1
.
t
()
()
2 H that share a common
endpoint. If the geometry matrix corresponding to the curve
Figure 11.2 shows two Hermite curves
H
1 t
and
()
H
1 t
is given by
]
G continuity is achieved if the geometry matrix for the
PP TT , then
[
1
2
1
2
()
]
C continuity is
curve
H
2 t
is equal to
PP TT with
u
>
0
, and
[
u
2
3
2
3
achieved if
=
1
.
u
2
3
13
−+
t
2
t
1
2
(
)
t
32
t
(
)
2
t t
1
t
0
1
2
(
)
t
1
t
Figure 11.1. Blending functions for the Hermite class of cubic curves.
T
2
P
()
2
H
t
1
()
H
t
2
P
P
1
3
T
T
2
3
T
Figure 11.2. Two Hermite curves sharing the endpoint P .
1
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