<s>
Russian	B-Algorithm
Geometric	I-Algorithm
Kernel	I-Algorithm
(	O
also	O
known	O
as	O
RGK	O
)	O
is	O
a	O
proprietary	O
geometric	B-Algorithm
modeling	I-Algorithm
kernel	I-Algorithm
developed	O
by	O
several	O
Russian	O
software	O
companies	O
,	O
most	O
notably	O
Top	O
Systems	O
and	O
LEDAS	O
,	O
and	O
supervised	O
by	O
STANKIN	O
(	O
State	O
Technology	O
University	O
)	O
.	O
</s>
<s>
It	O
was	O
written	O
in	O
C++	B-Language
.	O
</s>
<s>
RGK	O
is	O
described	O
using	O
boundary	B-Algorithm
representation	I-Algorithm
(	O
B-rep	B-Algorithm
)	O
.	O
</s>
<s>
For	O
instance	O
,	O
to	O
optimize	O
the	O
speed	O
of	O
kernel	O
's	O
functions	O
,	O
and	O
to	O
ensure	O
precise	O
storage	O
and	O
computation	O
of	O
the	O
model	O
,	O
canonical	O
objects	O
and	O
NURBS	B-Algorithm
curves	I-Algorithm
and	O
surfaces	O
are	O
used	O
.	O
</s>
<s>
The	O
low-level	O
operations	O
include	O
constructing	O
curves	O
and	O
surfaces	O
(	O
canonical	O
objects	O
,	O
NURBS	B-Algorithm
,	O
offset	O
curves	O
and	O
surfaces	O
,	O
and	O
so	O
on	O
)	O
,	O
projecting	O
points	O
and	O
curves	O
on	O
surfaces	O
,	O
intersecting	O
and	O
extending	O
curves	O
and	O
surfaces	O
,	O
modifying	O
topology	O
(	O
including	O
Euler	O
operations	O
)	O
,	O
and	O
so	O
on	O
.	O
</s>
<s>
The	O
geometric	B-Algorithm
kernel	I-Algorithm
supports	O
32	O
-	O
and	O
64-bit	O
architecture	O
,	O
and	O
Windows	O
and	O
Linux	B-Application
platforms	O
.	O
</s>
<s>
It	O
can	O
be	O
compiled	O
with	O
any	O
C++	B-Language
compiler	O
that	O
implements	O
features	O
of	O
С++11	O
standard	O
.	O
</s>
