<s>
The	O
Roberts	B-Algorithm
cross	I-Algorithm
operator	O
is	O
used	O
in	O
image	B-Algorithm
processing	I-Algorithm
and	O
computer	B-Application
vision	I-Application
for	O
edge	B-Algorithm
detection	I-Algorithm
.	O
</s>
<s>
As	O
a	O
differential	O
operator	O
,	O
the	O
idea	O
behind	O
the	O
Roberts	B-Algorithm
cross	I-Algorithm
operator	O
is	O
to	O
approximate	O
the	O
gradient	O
of	O
an	O
image	O
through	O
discrete	O
differentiation	O
which	O
is	O
achieved	O
by	O
computing	O
the	O
sum	O
of	O
the	O
squares	O
of	O
the	O
differences	O
between	O
diagonally	O
adjacent	O
pixels	O
.	O
</s>
<s>
However	O
with	O
the	O
speed	O
of	O
computers	O
today	O
this	O
advantage	O
is	O
negligible	O
and	O
the	O
Roberts	B-Algorithm
cross	I-Algorithm
suffers	O
greatly	O
from	O
sensitivity	O
to	O
noise	O
.	O
</s>
<s>
In	O
order	O
to	O
perform	O
edge	B-Algorithm
detection	I-Algorithm
with	O
the	O
Roberts	O
operator	O
we	O
first	O
convolve	B-Language
the	O
original	O
image	O
,	O
with	O
the	O
following	O
two	O
kernels	O
:	O
</s>
