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'in theory' the dimension of a contrast can be selfsimilar 
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The measurement of the deformation of a contrast


















Take a white page. Make black spots
on it. You have then some contrast between black and white. The bigger
the size of the spots, or the more the spots are numerous, the higher the
contrast will be. At least at the beginning, as long as there is fewer
spots than white surface.
You can measure the contrast, for
instance by declaring that contrast has to be the proportion between the
spotted surface and the still white surface.
At the beginning, the contrast is
0: the page is all white. Then it goes up, becomes 0.3 then 0.5 then 0.7
for example. When half the page is spotted, it is exactly equal to 1.
If you still spot the surface the
contrast will decrease, for the surface will become more and more 'all
black'. You can measure it in the same way, but calculating this time the
proportion between the white surface and the black area. From 1, the contrast
will then go back to 0 when the page will be all black.
We really did measure a 'value':
0, or 0.1, or 0.387, or 0,74, etc. So, it can be said that there is something
of a dimension in the measured contrast. Still, we did not have to define
one coordinate on the page. This is not a coordinate dimension.
If we state that contrast is the
deformation of the whiteness or of the blackness of the page, then we define
the calculated contrast, as a deformation dimension.
We point out immediately, a fundamental
difference between deformation dimensions and coordinate dimensions:
 a point
can travel to infinity, and consequently its coordinates can go from 
infinity to + infinity;
That is to say a coordinate dimension travels as on a straight line which can go to infinity in the Euclidean space, and a deformation dimension turns like around a circle. 
We can also grasp with this example,
the complementarity of the two dimensional systems, that with coordinates
and that of deformation. We can conceive for example, that the 0.3 contrast
we gave to a space, does not limit itself to spots on a page, but could
apply to a 2 D plane of infinite dimensions, or either has to deal with
colored bubbles in an infinite 3 D space.
That is to say, that whatever the
movement we shall do in that space, the contrast between the background
of space and the spots we shall find in it, will be the same.
The contrast can deal with space
with infinite coordinates, but itself can only have a value oscillating
between 0 and 1.
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