<s>
Boolean	B-Algorithm
operations	I-Algorithm
on	I-Algorithm
polygons	I-Algorithm
are	O
a	O
set	O
of	O
Boolean	O
operations	O
(	O
AND	O
,	O
OR	O
,	O
NOT	O
,	O
XOR	O
,	O
...	O
)	O
operating	O
on	O
one	O
or	O
more	O
sets	O
of	O
polygons	B-General_Concept
in	O
computer	O
graphics	O
.	O
</s>
<s>
These	O
sets	O
of	O
operations	O
are	O
widely	O
used	O
in	O
computer	O
graphics	O
,	O
CAD	B-Application
,	O
and	O
in	O
EDA	O
(	O
in	O
integrated	O
circuit	O
physical	O
design	O
and	O
verification	O
software	O
)	O
.	O
</s>
<s>
Early	O
algorithms	O
for	O
Boolean	B-Algorithm
operations	I-Algorithm
on	I-Algorithm
polygons	I-Algorithm
were	O
based	O
on	O
the	O
use	O
of	O
bitmaps	O
.	O
</s>
<s>
Using	O
bitmaps	O
in	O
modeling	O
polygon	B-General_Concept
shapes	O
has	O
many	O
drawbacks	O
.	O
</s>
<s>
One	O
of	O
the	O
drawbacks	O
is	O
that	O
the	O
memory	O
usage	O
can	O
be	O
very	O
large	O
,	O
since	O
the	O
resolution	O
of	O
polygons	B-General_Concept
is	O
proportional	O
to	O
the	O
number	O
of	O
bits	O
used	O
to	O
represent	O
polygons	B-General_Concept
.	O
</s>
<s>
Modern	O
implementations	O
for	O
Boolean	B-Algorithm
operations	I-Algorithm
on	I-Algorithm
polygons	I-Algorithm
tend	O
to	O
use	O
plane	B-Algorithm
sweep	I-Algorithm
algorithms	O
(	O
or	O
Sweep	B-Algorithm
line	I-Algorithm
algorithms	I-Algorithm
)	O
.	O
</s>
<s>
A	O
list	O
of	O
papers	O
using	O
plane	B-Algorithm
sweep	I-Algorithm
algorithms	O
for	O
Boolean	B-Algorithm
operations	I-Algorithm
on	I-Algorithm
polygons	I-Algorithm
can	O
be	O
found	O
in	O
References	O
below	O
.	O
</s>
<s>
Boolean	O
operations	O
on	O
convex	O
polygons	B-General_Concept
and	O
monotone	B-Algorithm
polygons	I-Algorithm
of	O
the	O
same	O
direction	O
may	O
be	O
performed	O
in	O
linear	O
time	O
.	O
</s>
