Usually if not specified otherwise lpmm of a lens (Arial) is
50% MTF.

my chart figures:
-----------------------------------------
lens            % more TOTAL RESOLUTION
lp/mm           of 6 Mp FF Sensor vs. 6Mp APS Sensor

200     4.877246795
190     5.413011111
180     6.034483302
170     6.76054889
160     7.61545148
150     8.630661446
140     9.847515377
130     11.32098694
120     13.12512934
110     15.36099027
100     18.16814884
90      21.74139353
80      26.35410579
70      32.38840375
60      40.36516268
50      50.94376158
40      64.79643351
30      82.12404598
20      101.4719616
10      118.1540215
-----------------------------------------

is based on aerial lenslpmm and sensorlpmm using the
equation: Total Resolution = Area * systemresolution^2
where    1/(systemresolution)^2 = 1/lenslpmm^2 + 1/sensorresolution^2
hence when lenslpmm is fixed and less than infinity,  the total resolution
is always greater with FF vs APS. As the lens gets worse or is stopped down,
the FF gets even better. Only a perfect lens with no diffraction limits
would allow a APS sensor to resolve as good as a FF and that lens does
not exist. Even then it would be as good, never better. Just the opposite
with FF sensor. This isn't even taking into account the lower noise
a FF sensor allows. Taking lower noise into account, you could possibly
shoot FF at faster ISO speeds than APS which could improve lens performance
and or camera shake factors. While there may well be no visible difference
in resolution of FF vs. APS when using a superb lens at its ideal aperture,
when using typical lenses and typical apertures the difference may
become very visible indeed according to the numbers above. And what is most
important to remember is these differences will become greater as the
Mp of the sensors continue to get larger.

JCO
----------------------------------------------------------------------------
   J.C. O'Connell   mailto:[EMAIL PROTECTED]   http://jcoconnell.com
----------------------------------------------------------------------------

-----Original Message-----
From: Mark Erickson [mailto:[EMAIL PROTECTED]
Sent: Tuesday, March 09, 2004 8:54 PM
To: pentax-discuss
Subject: RE: *ist D sensor and 35mm lens resolution


JC,

Read Rob's and my messages again.  Pay particular attention to words like
"significant," "insigificant," and "negligable."  A camera is a signal
processing system.  In such a system, many different components (e.g., lens,
film or sensor, physical body, tripod) may significantly influence the
quality of the final output.  In my engineering experience, it is typical
for the limitations of one or two components to dominate.  That doesn't mean
that performance limitations in the other elements have no effect, just that
the effects are insignificant compared to the dominant effects.  A
negligable difference is not the same as zero difference.

I think that Rob and I are both talking about qualitative estimates,
possibly educated guesses, of which component limitations dominate and by
how much.  You seem to keep beating the "absolute" drum, which isn't what
we're talking about at all.  The statement "I'm right because 0.999 is
smaller than 1.0" just isn't convincing.

If you want to really make your case, you need to define what you mean by
resolution.  50% MTF breakpoint in lpmm?  Or something else?  How do you
define detail?  And finally, what exactly do you mean by image?  Areal
image?  Image recorded on film?  What are the imaging properties of the film
itself? etc.  Maybe we should use modulation transfer function (MTF) as the
measure instead.  Are you comfortable with frequency domain analysis?  How
about linearity vs nonlinearity in signal processing systems?  If you make
certain special assumptions about the structure of an MTF (for example that
it represents a linear filter with a first-order rolloff characteristic),
then you can specify its MTF at all frequencies with a single number like
the 50% breakpoint in lpmm.  If the MTF is more complicated (and they
usually are), then the MTF response at a spatial frequency of 100 lpmm
doesn't always say very much about the MTF response at, say, 50 lpmm.  Then
there are issues of accutance vs resolution that I really don't understand
very well at all.

I would be really interested to find out if, in practice, the *ist D sensor
is the limiting component with, say, a 50mm prime.  Norman Koren's MTF
measurement methods at http://www.normankoren.com/Tutorials/MTF.html look
like a good way to make some measurements....

 --Mark


JCO wrote:
>I dont understand why you guys cant see that with a given,
>fixed, lpmm of resolution, even the very best primes, unless it
>is infinity, the cropped APS image will be less detailed than
>the FF image. Very simple. And as the sensor's Mp gets bigger,
>the difference between FF and APS will get even greater.
>
>The other thing mentioned before is that for a given Mp of sensor,
>FF will outperform APS based on larger pixel area and hence lower
>noise, greater dynamic range. Bottom line is a FF is better than
>APS sensor, both sharper and less noiser, assuming Mp and lens
>resolution remains the same.
>
>JCO


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