<s>
In	O
statistical	B-Application
graphics	I-Application
and	O
scientific	B-Application
visualization	I-Application
,	O
the	O
contour	B-Application
boxplot	I-Application
is	O
an	O
exploratory	O
tool	O
that	O
has	O
been	O
proposed	O
for	O
visualizing	O
ensembles	O
of	O
feature-sets	O
determined	O
by	O
a	O
threshold	O
on	O
some	O
scalar	O
function	O
(	O
e.g.	O
</s>
<s>
level-sets	B-Algorithm
,	O
isocontours	B-Algorithm
)	O
.	O
</s>
<s>
Analogous	O
to	O
the	O
classical	O
boxplot	B-Application
and	O
considered	O
an	O
expansion	O
of	O
the	O
concepts	O
defining	O
functional	B-Application
boxplot	I-Application
,	O
the	O
descriptive	B-General_Concept
statistics	I-General_Concept
of	O
a	O
contour	B-Application
boxplot	I-Application
are	O
:	O
the	O
envelope	O
of	O
the	O
50%	O
central	O
region	O
,	O
the	O
median	O
curve	O
and	O
the	O
maximum	O
non-outlying	O
envelope	O
.	O
</s>
<s>
To	O
construct	O
a	O
contour	B-Application
boxplot	I-Application
,	O
data	O
ordering	O
is	O
the	O
first	O
step	O
.	O
</s>
<s>
In	O
functional	B-General_Concept
data	I-General_Concept
analysis	I-General_Concept
,	O
each	O
observation	O
is	O
a	O
real	O
function	O
,	O
therefore	O
data	O
ordering	O
is	O
different	O
from	O
the	O
classical	O
boxplot	B-Application
where	O
scalar	O
data	O
are	O
simply	O
ordered	O
from	O
the	O
smallest	O
sample	O
value	O
to	O
the	O
largest	O
.	O
</s>
<s>
Having	O
the	O
ranks	O
of	O
feature-set	O
data	O
,	O
the	O
contour	B-Application
boxplot	I-Application
is	O
a	O
natural	O
extension	O
of	O
the	O
classical	O
boxplot	B-Application
which	O
in	O
special	O
cases	O
reduces	O
back	O
to	O
the	O
traditional	O
functional	B-Application
boxplot	I-Application
.	O
</s>
<s>
By	O
relying	O
on	O
the	O
set	O
formulation	O
,	O
contour	B-Application
boxplots	I-Application
avoid	O
any	O
explicit	O
correspondence	O
of	O
points	O
on	O
different	O
contours	O
.	O
</s>
<s>
In	O
the	O
classical	O
boxplot	B-Application
,	O
the	O
box	O
itself	O
represents	O
the	O
middle	B-General_Concept
50%	I-General_Concept
of	O
the	O
data	O
.	O
</s>
<s>
Since	O
the	O
data	O
ordering	O
in	O
the	O
contour	B-Application
boxplot	I-Application
is	O
from	O
the	O
center	O
outwards	O
,	O
the	O
50%	O
central	O
region	O
is	O
defined	O
by	O
the	O
band	O
delimited	O
by	O
the	O
50%	O
of	O
deepest	O
,	O
or	O
the	O
most	O
central	O
observations	O
.	O
</s>
<s>
The	O
border	O
of	O
the	O
50%	O
central	O
region	O
is	O
defined	O
as	O
the	O
envelope	O
representing	O
the	O
box	O
in	O
a	O
classical	O
boxplot	B-Application
.	O
</s>
<s>
Thus	O
,	O
this	O
50%	O
central	O
region	O
is	O
the	O
analog	O
to	O
the	O
interquartile	B-General_Concept
range	I-General_Concept
(	O
IQR	B-General_Concept
)	O
and	O
gives	O
a	O
useful	O
indication	O
of	O
the	O
spread	O
of	O
the	O
central	O
50%	O
of	O
the	O
curves	O
.	O
</s>
<s>
The	O
"	O
whiskers	O
"	O
of	O
the	O
boxplot	B-Application
are	O
the	O
vertical	O
lines	O
of	O
the	O
plot	O
extending	O
from	O
the	O
box	O
and	O
indicating	O
the	O
maximum	O
envelope	O
of	O
the	O
dataset	O
except	O
the	O
outliers	O
.	O
</s>
<s>
In	O
contour	B-Application
boxplots	I-Application
,	O
this	O
is	O
formed	O
by	O
considering	O
the	O
difference	O
of	O
the	O
union	O
and	O
intersection	O
formed	O
by	O
all	O
non-outlying	O
samples	O
.	O
</s>
<s>
The	O
ensemble	O
consists	O
of	O
isocontours	B-Algorithm
of	O
the	O
temperature	O
field	O
(	O
isovalue	O
−15C	O
)	O
at	O
500mb	O
in	O
altitude	O
.	O
</s>
