<s>
In	O
computer-aided	B-Application
geometric	I-Application
design	I-Application
a	O
control	B-Algorithm
point	I-Algorithm
is	O
a	O
member	O
of	O
a	O
set	O
of	O
points	O
used	O
to	O
determine	O
the	O
shape	O
of	O
a	O
spline	B-Algorithm
curve	I-Algorithm
or	O
,	O
more	O
generally	O
,	O
a	O
surface	O
or	O
higher-dimensional	O
object	O
.	O
</s>
<s>
For	O
Bézier	O
curves	O
,	O
it	O
has	O
become	O
customary	O
to	O
refer	O
to	O
the	O
-vectors	O
in	O
a	O
parametric	O
representation	O
of	O
a	O
curve	O
or	O
surface	O
in	O
-space	O
as	O
control	B-Algorithm
points	I-Algorithm
,	O
while	O
the	O
scalar-valued	O
functions	O
,	O
defined	O
over	O
the	O
relevant	O
parameter	O
domain	O
,	O
are	O
the	O
corresponding	O
weight	O
or	O
blending	O
functions	O
.	O
</s>
<s>
This	O
property	O
implies	O
that	O
the	O
curve	O
lies	O
within	O
the	O
convex	O
hull	O
of	O
its	O
control	B-Algorithm
points	I-Algorithm
.	O
</s>
<s>
This	O
is	O
the	O
case	O
for	O
Bézier	O
's	O
representation	O
of	O
a	O
polynomial	O
curve	O
as	O
well	O
as	O
for	O
the	O
B-spline	B-Algorithm
representation	O
of	O
a	O
spline	B-Algorithm
curve	I-Algorithm
or	O
tensor-product	O
spline	B-Algorithm
surface	O
.	O
</s>
