<s>
The	O
term	O
transconvolution	B-Algorithm
designates	O
a	O
numerical	O
method	O
used	O
in	O
medical	B-Application
imaging	I-Application
,	O
in	O
particular	O
emission	O
computed	O
tomography	O
.	O
</s>
<s>
Transconvolution	B-Algorithm
enables	O
a	O
subsequent	O
manipulation	O
of	O
the	O
Point	O
spread	O
function	O
(	O
PSF	O
)	O
in	O
already	O
recorded	O
images	O
.	O
</s>
<s>
Starting	O
from	O
known	O
PSFs	O
of	O
different	O
tomographic	O
systems	O
,	O
the	O
transconvolution	B-Algorithm
method	O
allows	O
an	O
image	O
recorded	O
on	O
a	O
particular	O
tomograph	O
to	O
be	O
converted	O
as	O
if	O
it	O
had	O
been	O
acquired	O
by	O
another	O
tomograph	O
.	O
</s>
<s>
with	O
""	O
representing	O
the	O
convolution	B-Language
operator	O
and	O
and	O
representing	O
the	O
two	O
slightly	O
different	O
images	O
of	O
the	O
same	O
object	O
as	O
seen	O
by	O
the	O
respective	O
tomographs	O
.	O
</s>
<s>
Based	O
on	O
the	O
definition	O
of	O
a	O
standardized	O
virtual	O
tomograph	O
and	O
the	O
determination	O
of	O
the	O
imaging	O
properties	O
of	O
different	O
real	O
tomographs	O
,	O
the	O
transconvolution	B-Algorithm
method	O
allows	O
a	O
uniform	O
and	O
quantitatively	O
comparable	O
representation	O
of	O
the	O
image	O
data	O
taken	O
by	O
the	O
different	O
tomographs	O
or	O
systems	O
,	O
as	O
if	O
all	O
measurements	O
were	O
made	O
consistently	O
by	O
the	O
standardized	O
virtual	O
system	O
.	O
</s>
<s>
Another	O
application	O
of	O
the	O
transconvolution	B-Algorithm
method	O
in	O
positron	B-Application
emission	I-Application
tomography	I-Application
allows	O
to	O
handle	O
the	O
diverse	O
image	O
blur	O
caused	O
by	O
the	O
according	O
diverse	O
positron	O
range	O
of	O
the	O
actual	O
positron	O
emitting	O
radionuclide	O
.	O
</s>
<s>
T	O
.	O
Weitzel	O
,	O
F	O
.	O
Corminboeuf	O
,	O
B	O
.	O
Klaeser	O
,	O
T	O
Krause	O
:	O
"	O
Kreuzkalibrierung	O
von	O
Positronen-Emissions-Tomographen	O
für	O
multizentrische	O
Studien	O
:	O
Festkörper-Phantom	O
und	O
Transconvolution.	O
"	O
</s>
<s>
T	O
.	O
Weitzel	O
,	O
F	O
.	O
Corminboeuf	O
,	O
B	O
.	O
Klaeser	O
,	O
T	O
.	O
Krause	O
,	O
T	O
Beyer	O
:	O
"	O
Transconvolution	B-Algorithm
and	O
virtual	O
PET	O
:	O
A	O
new	O
concept	O
for	O
quantification	O
of	O
PET	O
in	O
multi-center	O
trials.	O
"	O
</s>
<s>
G	O
.	O
A	O
.	O
Prenosil	O
,	O
T	O
.	O
Weitzel	O
,	O
M	O
.	O
Hentschel	O
,	O
B	O
.	O
Klaeser	O
,	O
T	O
.	O
Krause	O
:	O
"	O
Transconvolution	B-Algorithm
and	O
the	O
virtual	O
positron	B-Application
emission	I-Application
tomograph	I-Application
–	O
a	O
new	O
method	O
for	O
cross	O
calibration	O
in	O
quantitative	O
PET/CT	O
imaging.	O
"	O
</s>
<s>
G	O
.	O
A	O
.	O
Prenosil	O
,	O
M	O
.	O
Hentschel	O
,	O
M	O
.	O
Fürstner	O
,	O
T	O
.	O
Krause	O
,	O
T	O
.	O
Weitzel	O
,	O
B	O
.	O
Klaeser	O
:	O
"	O
Technical	O
Note	O
:	O
Transconvolution	B-Algorithm
based	O
equalization	O
of	O
positron	O
energy	O
effects	O
for	O
the	O
use	O
of	O
68Ge/68Ga	O
phantoms	O
in	O
determining	O
18F	O
PET	O
recovery.	O
"	O
</s>
