<s>
In	O
mathematics	O
,	O
Surface	B-Algorithm
fairing	I-Algorithm
is	O
an	O
aspect	O
of	O
mesh	B-Algorithm
smoothing	B-Application
.	O
</s>
<s>
The	O
goal	O
of	O
surface	B-Algorithm
fairing	I-Algorithm
is	O
to	O
compute	O
shapes	O
that	O
are	O
as	O
smooth	O
as	O
possible	O
.	O
</s>
<s>
On	O
an	O
abstract	O
level	O
,	O
mesh	B-Algorithm
smoothing	B-Application
is	O
concerned	O
with	O
the	O
design	O
and	O
computation	O
of	O
smooth	O
functions	O
on	O
a	O
triangle	O
mesh	B-Algorithm
.	O
</s>
<s>
Mesh	B-Algorithm
fairing	O
does	O
not	O
just	O
slightly	O
smooth	O
the	O
function	O
in	O
order	O
to	O
remove	O
the	O
high	B-Algorithm
frequency	I-Algorithm
noise	O
.	O
</s>
<s>
How	O
to	O
actually	O
measure	O
smoothness	O
or	O
fairness	O
obviously	O
depends	O
on	O
the	O
application	O
,	O
but	O
in	O
general	O
fair	O
surfaces	O
should	O
follow	O
the	O
principle	O
of	O
simplest	O
shape	O
:	O
the	O
surface	O
should	O
be	O
free	O
of	O
any	O
unnecessary	O
details	O
or	O
oscillations	B-Algorithm
.	O
</s>
