<s>
The	O
Mojette	B-Algorithm
Transform	I-Algorithm
is	O
an	O
application	O
of	O
discrete	O
geometry	O
.	O
</s>
<s>
More	O
specifically	O
,	O
it	O
is	O
a	O
discrete	O
and	O
exact	O
version	O
of	O
the	O
Radon	B-Algorithm
transform	I-Algorithm
,	O
thus	O
a	O
projection	O
operator	O
.	O
</s>
<s>
The	O
IRCCyN	O
laboratory	O
-	O
UMR	O
CNRS	B-Application
6597	O
in	O
Nantes	O
,	O
France	O
has	O
been	O
developing	O
it	O
since	O
1994	O
.	O
</s>
<s>
The	O
first	O
characteristic	O
of	O
the	O
Mojette	B-Algorithm
Transform	I-Algorithm
is	O
using	O
only	O
additions	O
and	O
subtractions	O
.	O
</s>
<s>
The	O
second	O
characteristic	O
is	O
that	O
the	O
Mojette	B-Algorithm
Transform	I-Algorithm
is	O
redundant	O
,	O
spreading	O
the	O
initial	O
geometrical	O
information	O
into	O
several	O
projections	O
.	O
</s>
<s>
The	O
Mojette	B-Algorithm
transform	I-Algorithm
has	O
been	O
already	O
used	O
in	O
numerous	O
applications	O
domains	O
:	O
</s>
<s>
After	O
one	O
year	O
of	O
research	O
,	O
the	O
first	O
communication	O
introducing	O
the	O
Mojette	B-Algorithm
Transform	I-Algorithm
was	O
held	O
in	O
May	O
1995	O
in	O
the	O
first	O
edition	O
of	O
CORESA	O
National	O
Congress	O
CCITT	O
Rennes	O
.	O
</s>
<s>
In	O
2011	O
,	O
the	O
book	O
The	O
Mojette	B-Algorithm
Transform	I-Algorithm
:	O
Theory	O
and	O
Applications	O
at	O
ISTE-Wiley	O
was	O
well	O
received	O
by	O
the	O
scientific	O
community	O
.	O
</s>
<s>
Jeanpierre	O
Guédon	O
,	O
professor	O
and	O
inventor	O
of	O
the	O
transform	O
called	O
it	O
:	O
"	O
Mojette	B-Algorithm
Transform	I-Algorithm
"	O
.	O
</s>
<s>
The	O
original	O
purpose	O
of	O
the	O
Mojette	B-Algorithm
Transform	I-Algorithm
was	O
to	O
create	O
a	O
discrete	O
tool	O
to	O
divide	O
the	O
Fourier	O
plane	O
into	O
angular	O
and	O
radial	O
sectors	O
.	O
</s>
<s>
These	O
two	O
values	O
(	O
p	O
,	O
q	O
)	O
are	O
precisely	O
those	O
characterizing	O
the	O
Mojette	B-Algorithm
Transform	I-Algorithm
.	O
</s>
<s>
The	O
most	O
important	O
area	O
of	O
application	O
using	O
the	O
"	O
Mojette	B-Algorithm
Transform	I-Algorithm
"	O
is	O
distributed	O
storage	O
.	O
</s>
<s>
Particularly	O
,	O
this	O
method	O
is	O
used	O
in	O
RozoFS	B-Application
,	O
an	O
open-source	O
distributed	O
file	O
system	O
.	O
</s>
<s>
In	O
this	O
application	O
,	O
the	O
"	O
Mojette	B-Algorithm
Transform	I-Algorithm
"	O
is	O
used	O
as	O
an	O
erasure	O
code	O
in	O
order	O
to	O
provide	O
reliability	O
,	O
while	O
significantly	O
reducing	O
the	O
total	O
amount	O
of	O
stored	O
data	O
when	O
compared	O
to	O
classical	O
techniques	O
like	O
replication	B-Architecture
(	O
typically	O
by	O
a	O
factor	O
of	O
2	O
)	O
.	O
</s>
<s>
However	O
,	O
the	O
image	O
acquisition	O
using	O
the	O
Mojette	B-Algorithm
transform	I-Algorithm
has	O
not	O
been	O
yet	O
developed	O
.	O
</s>
<s>
The	O
companies	O
have	O
already	O
financed	O
several	O
PhD	O
students	O
and	O
participated	O
in	O
research	O
projects	O
in	O
order	O
to	O
continue	O
the	O
development	O
of	O
the	O
application	O
in	O
medical	O
tomography	B-Algorithm
.	O
</s>
<s>
For	O
watermarking	O
,	O
the	O
transform	O
is	O
very	O
effective	O
in	O
fingerprinting	B-Algorithm
.	O
</s>
<s>
By	O
inserting	O
"	O
Mojette	B-Algorithm
Transform	I-Algorithm
"	O
marks	O
in	O
images	O
,	O
one	O
can	O
authenticate	O
documents	O
using	O
the	O
same	O
properties	O
as	O
in	O
cryptography	O
.	O
</s>
