<s>
In	O
geometry	O
,	O
exterior	B-Algorithm
dimension	I-Algorithm
is	O
a	O
type	O
of	O
dimension	O
that	O
can	O
be	O
used	O
to	O
characterize	O
the	O
scaling	O
behavior	O
of	O
"	O
fat	O
fractals	O
"	O
.	O
</s>
<s>
The	O
Hausdorff	O
dimension	O
of	O
a	O
set	O
can	O
be	O
computed	O
by	O
"	O
fattening	O
"	O
(	O
taking	O
its	O
Minkowski	B-Algorithm
sum	I-Algorithm
with	O
a	O
ball	O
of	O
radius	O
)	O
,	O
and	O
examining	O
how	O
the	O
volume	O
of	O
the	O
resulting	O
fattened	O
set	O
scales	O
with	O
,	O
in	O
the	O
limit	O
as	O
tends	O
to	O
zero	O
.	O
</s>
<s>
The	O
exterior	B-Algorithm
dimension	I-Algorithm
is	O
computed	O
in	O
the	O
same	O
way	O
but	O
looking	O
at	O
the	O
volume	O
of	O
the	O
difference	O
set	O
obtained	O
by	O
subtracting	O
the	O
original	O
set	O
from	O
the	O
fattened	O
set	O
.	O
</s>
<s>
In	O
the	O
paper	O
introducing	O
exterior	B-Algorithm
dimension	I-Algorithm
,	O
it	O
was	O
claimed	O
that	O
it	O
would	O
be	O
applicable	O
to	O
networks	O
of	O
blood	O
vessels	O
.	O
</s>
<s>
However	O
,	O
inconsistent	O
behavior	O
of	O
these	O
vessels	O
in	O
different	O
parts	O
of	O
the	O
body	O
,	O
the	O
relatively	O
low	O
number	O
of	O
levels	O
of	O
branching	O
,	O
and	O
the	O
slow	O
convergence	O
of	O
methods	O
based	O
on	O
exterior	B-Algorithm
dimension	I-Algorithm
cast	O
into	O
doubt	O
the	O
practical	O
applicability	O
of	O
this	O
parameter	O
.	O
</s>
