<s>
Solid	B-Algorithm
Modeling	I-Algorithm
Solutions	I-Algorithm
is	O
a	O
company	O
who	O
has	O
an	O
implementation	O
of	O
a	O
mathematical	O
representation	O
of	O
many	O
NURBS	B-Algorithm
(	O
Non-uniform	B-Algorithm
rational	I-Algorithm
B-spline	I-Algorithm
)	O
,	O
3D	O
geometry	O
,	O
and	O
Solid	O
modeling	O
technology	O
which	O
emerged	O
in	O
the	O
1980s	O
and	O
1990s	O
into	O
a	O
commercial	O
implementation	O
known	O
as	O
SMLib	O
(	O
for	O
solid	O
modeling	O
library	O
)	O
.	O
</s>
<s>
This	O
article	O
will	O
provide	O
the	O
background	O
and	O
history	O
of	O
this	O
implementation	O
into	O
a	O
commercial	O
product	O
line	O
from	O
Solid	B-Algorithm
Modeling	I-Algorithm
Solutions	I-Algorithm
(	O
SMS	O
)	O
.	O
</s>
<s>
SMS	O
provides	O
advanced	O
NURBS-based	O
geometry	O
libraries	O
,	O
SMLib	O
,	O
TSNLib	O
,	O
GSNLib	O
,	O
NLib	O
,	O
SDLib	O
,	O
VSLib	O
,	O
and	O
PolyMLib	O
,	O
that	O
encompass	O
extensive	O
definition	O
and	O
manipulation	O
of	O
NURBS	B-Algorithm
curves	I-Algorithm
and	O
surfaces	O
with	O
the	O
latest	O
fully	O
functional	O
non-manifold	O
topology	O
.	O
</s>
<s>
NURBS	B-Algorithm
got	O
started	O
with	O
seminal	O
work	O
at	O
Boeing	O
and	O
SDRC	O
(	O
Structural	O
Dynamics	O
Research	O
Corporation	O
)	O
,	O
a	O
leading	O
company	O
in	O
mechanical	O
computer-aided	O
engineering	O
in	O
the	O
1980s	O
and	O
'	O
90	O
's	O
.	O
</s>
<s>
The	O
history	O
of	O
NURBS	B-Algorithm
at	O
Boeing	O
goes	O
back	O
to	O
1979	O
when	O
Boeing	O
began	O
to	O
staff	O
up	O
for	O
the	O
purpose	O
of	O
developing	O
their	O
own	O
comprehensive	O
CAD/CAM	O
system	O
,	O
TIGER	O
,	O
to	O
support	O
the	O
wide	O
variety	O
of	O
applications	O
needed	O
by	O
their	O
various	O
aircraft	O
and	O
aerospace	O
engineering	O
groups	O
.	O
</s>
<s>
Three	O
basic	O
decisions	O
were	O
critical	O
to	O
establishing	O
an	O
environment	O
conducive	O
to	O
developing	O
NURBS	B-Algorithm
.	O
</s>
<s>
The	O
second	O
decision	O
critical	O
to	O
NURBS	B-Algorithm
development	O
was	O
the	O
removal	O
of	O
the	O
constraint	O
of	O
upward	O
geometrical	O
compatibility	O
with	O
the	O
two	O
systems	O
in	O
use	O
at	O
Boeing	O
at	O
that	O
time	O
.	O
</s>
<s>
The	O
third	O
decision	O
was	O
simple	O
but	O
crucial	O
and	O
added	O
the	O
'	O
R	O
 '	O
to	O
'	O
NURBS	B-Algorithm
 '	O
.	O
</s>
<s>
With	O
this	O
motivation	O
,	O
the	O
staff	O
started	O
down	O
the	O
road	O
toward	O
what	O
became	O
NURBS	B-Algorithm
.	O
</s>
<s>
By	O
the	O
end	O
of	O
1980	O
,	O
the	O
staff	O
knew	O
we	O
had	O
a	O
way	O
to	O
present	O
all	O
the	O
required	O
curve	O
forms	O
using	O
a	O
single	O
representation	O
,	O
now	O
known	O
as	O
the	O
NURBS	B-Algorithm
form	O
.	O
</s>
<s>
The	O
NURBS	B-Algorithm
surface	I-Algorithm
form	O
did	O
not	O
present	O
a	O
problem	O
since	O
they	O
had	O
not	O
yet	O
developed	O
any	O
surface	O
algorithms	O
.	O
</s>
<s>
It	O
was	O
at	O
this	O
time	O
that	O
the	O
NURBS	B-Algorithm
acronym	O
was	O
first	O
used	O
by	O
the	O
other	O
side	O
of	O
the	O
TIGER	O
project	O
,	O
i.e.	O
,	O
the	O
TIGER	O
software	O
development	O
groups	O
of	O
Boeing	O
Computer	O
Services	O
.	O
</s>
<s>
Hence	O
,	O
Boeing	O
very	O
quickly	O
prepared	O
to	O
propose	O
NURBS	B-Algorithm
to	O
the	O
August	O
'	O
81	O
IGES	O
meetings	O
.	O
</s>
<s>
There	O
are	O
two	O
reasons	O
why	O
NURBS	B-Algorithm
were	O
so	O
quickly	O
accepted	O
by	O
IGES	O
.	O
</s>
<s>
So	O
that	O
's	O
how	O
NURBS	B-Algorithm
started	O
at	O
Boeing	O
.	O
</s>
<s>
The	O
staff	O
also	O
developed	O
an	O
internal	O
NURBS	B-Algorithm
class	O
taught	O
to	O
about	O
75	O
Boeing	O
engineers	O
.	O
</s>
<s>
The	O
first	O
public	O
presentation	O
of	O
our	O
NURBS	B-Algorithm
work	O
was	O
at	O
a	O
Seattle	O
CASA/SME	O
seminar	O
in	O
March	O
of	O
1982	O
.	O
</s>
<s>
They	O
could	O
take	O
a	O
rather	O
simple	O
NURBS	B-Algorithm
surface	I-Algorithm
definition	O
of	O
an	O
aircraft	O
and	O
slice	O
it	O
with	O
a	O
plane	O
surface	O
to	O
generate	O
an	O
interesting	O
outline	O
of	O
some	O
of	O
the	O
wing	O
,	O
body	O
and	O
engines	O
.	O
</s>
<s>
The	O
staff	O
were	O
allowed	O
great	O
freedom	O
in	O
pursuing	O
our	O
ideas	O
and	O
Boeing	O
correctly	O
promoted	O
NURBS	B-Algorithm
,	O
but	O
the	O
task	O
of	O
developing	O
that	O
technology	O
into	O
a	O
useable	O
form	O
was	O
too	O
much	O
for	O
Boeing	O
,	O
which	O
abandoned	O
the	O
TIGER	O
task	O
late	O
in	O
'	O
84	O
.	O
</s>
<s>
Solid	B-Algorithm
Modeling	I-Algorithm
Solutions	I-Algorithm
(	O
SMS	O
)	O
was	O
formed	O
in	O
early	O
1998	O
by	O
Robert	O
Blomgren	O
and	O
Jim	O
Presti	O
.	O
</s>
<s>
SMS	O
software	O
is	O
based	O
on	O
years	O
of	O
research	O
and	O
application	O
of	O
NURBS	B-Algorithm
technology	O
.	O
</s>
<s>
Les	O
Piegl	O
and	O
Wayne	O
Tiller	O
(	O
a	O
partner	O
of	O
Solid	B-Algorithm
Modeling	I-Algorithm
Solutions	I-Algorithm
)	O
wrote	O
the	O
definitive	O
"	O
The	O
NURBS	B-Algorithm
Book	O
"	O
on	O
non-uniform	B-Algorithm
rational	I-Algorithm
B-splines	I-Algorithm
(	O
NURBS	B-Algorithm
)	O
with	O
aids	O
to	O
designing	O
geometry	O
for	O
computer-aided	O
environment	O
applications	O
.	O
</s>
<s>
TSNLib	O
-	O
analyze	O
NURBS	B-Algorithm
based	O
trimmed	O
surface	O
representations	O
.	O
</s>
<s>
data	O
translators	O
-	O
NURBS-based	O
geometry	O
translator	O
libraries	O
,	O
</s>
