.
In
an
Excel
spreadsheet
or
MATLAB,
randomly
select
four
(4)
different
control
vertices,
labelled
1
to
4,
in
a
two-dimensional
region
delimited
by
(—10
< X
<
10)
and
(—10
<
Y
<
10).
The
point
values
of
X
and
Y are
defined
as
integers.
Do
not
select
vertices
that
form
a
straight
line.
.
Plot
these
vertices
on
a
chart
in
black.
.
In
the
same
program,
create
the
code
that
automatically
generates
a
Hermite
Curve
between
the
first
and
last
control
vertices,
using
the
value
of
1
as
Po”
and
P;".
Plot
the
curve
in
o1
212¢
on
the
same
chart
as 1n
question
1.
.
In
the
same
program,
create
the
code
that
generates
a
Cubic
Spline
defined
by
the
control
vertices
and
automatically
obtains
the
curve
equation.
Plot
the
curve
in
purple
on
the
same
chart
as
in
question
1.
For
values
of
u,
use
proportional
representation.
All
boundary
conditions
are
null.
.
In
the
same program,
create
the
code
that
automatically
generates
a
Bezier
Curve
defined
by
the
control
vertices
and
automatically
obtains
the
curve
equation.
Plot
the
curve
in
blue
on
the
same
chart
as
in
question
1.
.
In
the
same
program,
write
the
code
that
creates
a
B-Spline
Curve
of
curve
order
3
defined
by
the
control
vertices
and
automatically
obtains
the
curve
equation.
Plot
three
curve
on
a
separate
graph,
mn
different
colors,
using
3
different
sets
of
knots
of
your
choice.
