<s>
In	O
mathematics	O
,	O
the	O
K	O
transform	O
(	O
also	O
called	O
the	O
Kemp-Macdonald	O
Transform	O
or	O
Single-Pixel	O
X-ray	B-Algorithm
Transform	I-Algorithm
)	O
is	O
an	O
integral	B-Algorithm
transform	I-Algorithm
introduced	O
by	O
R	O
.	O
Scott	O
Kemp	O
and	O
Ruaridh	O
Macdonald	O
in	O
2016	O
.	O
</s>
<s>
This	O
uniqueness	O
arises	O
by	O
the	O
use	O
of	O
a	O
monotonic	O
,	O
nonlinear	O
transform	O
of	O
the	O
X-ray	B-Algorithm
transform	I-Algorithm
.	O
</s>
<s>
By	O
selecting	O
the	O
exponential	O
function	O
for	O
the	O
transform	O
function	O
,	O
which	O
coincides	O
with	O
attenuation	O
of	O
particles	O
in	O
matter	O
in	O
accordance	O
with	O
the	O
Beer	O
–	O
Lambert	O
law	O
,	O
the	O
Ktransform	O
can	O
be	O
used	O
to	O
perform	O
tomography	B-Algorithm
of	O
3-dimensional	O
objects	O
using	O
a	O
low-resolution	O
single-pixel	O
detector	O
.	O
</s>
<s>
A	O
numerical	O
inversion	O
using	O
the	O
BFGS	B-Algorithm
optimization	I-Algorithm
algorithm	I-Algorithm
was	O
explored	O
by	O
Fichtlscherer	O
.	O
</s>
<s>
where	O
is	O
the	O
set	O
of	O
all	O
lines	O
originating	O
at	O
a	O
point	O
and	O
terminating	O
on	O
the	O
single-pixel	O
detector	O
,	O
and	O
is	O
the	O
X-ray	B-Algorithm
transform	I-Algorithm
.	O
</s>
<s>
The	O
K	O
transform	O
has	O
been	O
proposed	O
as	O
a	O
means	O
of	O
performing	O
a	O
physical	O
one-time	B-Algorithm
pad	I-Algorithm
encryption	O
of	O
a	O
physical	O
object	O
.	O
</s>
