<s>
In	O
iterative	B-Algorithm
reconstruction	I-Algorithm
in	O
digital	B-Algorithm
imaging	I-Algorithm
,	O
interior	B-Algorithm
reconstruction	I-Algorithm
(	O
also	O
known	O
as	O
limited	O
field	O
of	O
view	O
(	O
LFV	O
)	O
reconstruction	O
)	O
is	O
a	O
technique	O
to	O
correct	O
truncation	O
artifacts	O
caused	O
by	O
limiting	O
image	O
data	O
to	O
a	O
small	O
field	O
of	O
view	O
.	O
</s>
<s>
Although	O
interior	B-Algorithm
reconstruction	I-Algorithm
can	O
be	O
applied	O
to	O
dental	O
or	O
cardiac	O
CT	O
images	O
,	O
the	O
concept	O
is	O
not	O
limited	O
to	O
CT	O
.	O
</s>
<s>
To	O
simplify	O
the	O
concept	O
of	O
interior	B-Algorithm
reconstruction	I-Algorithm
,	O
the	O
matrices	O
,	O
,	O
,	O
are	O
applied	O
to	O
image	B-Algorithm
reconstruction	I-Algorithm
instead	O
of	O
complex	O
operators	O
.	O
</s>
<s>
In	O
some	O
cases	O
,	O
the	O
exact	O
reconstruction	O
can	O
be	O
found	O
for	O
the	O
interior	B-Algorithm
reconstruction	I-Algorithm
.	O
</s>
<s>
The	O
local	O
inverse	O
method	O
below	O
modifies	O
the	O
local	O
tomography	O
method	O
,	O
and	O
may	O
improve	O
the	O
reconstruction	O
result	O
of	O
the	O
local	O
tomography	O
;	O
the	O
iterative	B-Algorithm
reconstruction	I-Algorithm
method	O
can	O
be	O
applied	O
to	O
interior	B-Algorithm
reconstruction	I-Algorithm
.	O
</s>
<s>
To	O
simplify	O
the	O
concept	O
of	O
interior	B-Algorithm
reconstruction	I-Algorithm
,	O
the	O
matrices	O
,	O
,	O
,	O
are	O
applied	O
to	O
image	B-Algorithm
reconstruction	I-Algorithm
instead	O
of	O
a	O
complex	O
operator	O
.	O
</s>
<s>
is	O
the	O
generalized	B-Algorithm
inverse	I-Algorithm
of	O
,	O
i.e.	O
</s>
<s>
In	O
special	O
situations	O
,	O
the	O
interior	B-Algorithm
reconstruction	I-Algorithm
can	O
be	O
obtained	O
as	O
an	O
analytical	O
solution	O
;	O
the	O
solution	O
of	O
is	O
exact	O
in	O
such	O
cases	O
.	O
</s>
<s>
Extrapolated	O
data	O
often	O
convolutes	B-Language
to	O
a	O
kernel	O
function	O
.	O
</s>
<s>
The	O
calculation	O
time	O
can	O
be	O
omitted	O
,	O
compared	O
to	O
the	O
original	O
convolution	B-Language
calculation	O
;	O
with	O
this	O
algorithm	O
,	O
the	O
calculation	O
of	O
a	O
convolution	B-Language
using	O
the	O
extrapolated	O
data	O
is	O
not	O
noticeably	O
increased	O
.	O
</s>
<s>
Although	O
this	O
method	O
gets	O
better	O
interior	B-Algorithm
reconstruction	I-Algorithm
compared	O
to	O
adaptive	O
reconstruction	O
,	O
it	O
misses	O
the	O
result	O
in	O
the	O
exterior	O
region	O
.	O
</s>
<s>
The	O
iterative	B-Algorithm
reconstruction	I-Algorithm
method	O
obtains	O
a	O
good	O
result	O
with	O
large	O
calculations	O
.	O
</s>
<s>
The	O
fast	O
extrapolation	O
method	O
can	O
get	O
the	O
same	O
results	O
as	O
the	O
other	O
extrapolation	O
methods	O
,	O
and	O
can	O
be	O
applied	O
to	O
the	O
above	O
interior	B-Algorithm
reconstruction	I-Algorithm
methods	O
to	O
reduce	O
the	O
calculation	O
.	O
</s>
