Different MTF of Canon EF 70-300mm f/4-5.6 L IS USM on FF vs APS-C ..... Why?

The site of Photozone.de shows the resolution graphs (MTF) of the Canon EF 70-300mm f/4-5.6 L IS USM for different focus settings (zoom settings), when mounted on a Canon 5D (FF-body).
The same site also shows the resolution graphs (MTF) of the Canon EF 70-300mm f/4-5.6 L IS USM for different focus settings (zoom settings), when mounted on a Canon 50D (APS-C-body).

I am puzzled by the (huge) difference between these two setups.
And I cannot explain that difference, nor can I find (the theory of) the reason behind it.

With my limited knowledge of applied optics, my reasoning (thatclearly is faulty) was as follows.
1. A lens projects a sharp image on the sensor if mounted correctly on the camera body: that is implicit in the design of the camera body (its dimensions) and the lens (its optical properties in combination with its size). That is the same for both setups, so no reason for discrepancies here.
2. When, on a given focus setting, the lens performs with a certain number of lines/mm, this is not influenced by neither the qualities of the surface on which it projects the image, nor the size of the surface. The light falls on the lens and is projected on that surface.
3. I see that aberrations like an imperfect plane of the projected image affect the MTF. But comparing the same lens on FF vs APS-C, that would be visible in the results for the borders and corners. And the same, so I was thinking, goes for all other lens aberrations.
4. I do not see how a different size (either in millimeters or in number of pixels per millimeter) of the surface on which the image is projected, affects the number of lines/mm that the lens can discern. And therefore I cannot understand how a property of the camera body, i.e. FF vs APS-C, makes a difference.

But the difference is there, so much is clear. ???
So the question remains:
Why is the size of the surface of influence on the MTF of the Canon EF 70-300mm f/4-5.6 L IS USM at the center of the image, as indicated by the different results for FF versus APS-C?

Can anybody explain the why (the theory) behind this difference in MTF?
 
The only thing I can think of at the centre of the image is the pixel density of the 50D enabling greater resolution (4.99 vs 6.4)

http://www.the-digital-picture.com/Reviews/Canon-EOS-5D-Mark-II-DSLR-Digital-Camera-Review.aspx


his is not influenced by neither the qualities of the surface on which it projects the image
The start of the MTF setions says "The lens showed pretty good resolution figures during our full format test and it gets, of course, better on an APS-C format camera due to the sweet spot effect here." Which means to me that
they are testing that lens on that body so the resolution depends on the ability of the body to record detail.
 
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haggie said:
2. When, on a given focus setting, the lens performs with a certain number of lines/mm,

4. I do not see how a different size (either in millimeters or in number of pixels per millimeter) of the surface on which the image is projected, affects the number of lines/mm that the lens can discern. And therefore I cannot understand how a property of the camera body, i.e. FF vs APS-C, makes a difference.

But the difference is there, so much is clear. ???
So the question remains:
Why is the size of the surface of influence on the MTF of the Canon EF 70-300mm f/4-5.6 L IS USM at the center of the image, as indicated by the different results for FF versus APS-C?

Can anybody explain the why (the theory) behind this difference in MTF?

Look again at the units – not lines per millimeter, but rather LW/PH. That's line widths per picture height, which is the vertical dimension of the sensor. Since a FF sensor is 24mm high, and an APS-C sensor is only 15mm high, identical lens resolution on both sensor formats yields a much higher LW/PH value for the 'taller' FF sensor (i.e. you can fit a lot more lines in 24mm than 15mm).
 
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I think that is the answer, neuroanatomist. Thanks!
I had linepairs/mm in mind whereas it clearly reads LW/PH. So no theoretical considerations necessary.
Perhaps just a pair of glasses. :-[

This, in combination with the sweetspot as Mikehit mentioned, explains why the figures for APS-C are a bit higher than when the figures for FF are just divided by the crop factor.
 
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