Mac McDougald said:
Well, forgive the layman's misunder standing, but I still don't see how
anything over the optical capabilities of the sensors is NOT
interpolated.
Well, what happens when you shoot Provia through a cheap lens. The lens
has a limited optical resolution, well below that of the film. There is
no numerical processor in the signal path to conduct any interpolation.
However the grain from which the image on the film is composed, is
certainly well beyond the optical resolution of the system. No
interpolation, but real data beyond the optical resolution of the
sensor.
Now, what would you call this if the same strip of film is scanned on a
Howtek at 8000ppi? Again, each sample is perfectly unique and a true
representation of what the scanner sees on the film. No interpolation
is undertaken, yet there are far more samples than are necessary to
resolve all of the optical information.
Interpolation is quite specific, it is the synthetic creation of samples
which have not been actually captured by the sensor. Samples are quite
independent of the resolution - the only criteria is that you need *at
least* two samples to resolve anything. Note the "at least" in the
above statement. That means that any practical system will always have
more samples than the optical resolution, since no system is going to be
perfectly designed so that every unit is critically sampled with exactly
two samples at the optical resolution.
In the case of a scanner which is specified as 2400x4800ppi, the CCD
samples 2400 points in the image every inch. The stepper motor steps
the CCD so that the image can be sampled 4800 unique positions every
inch in the orthogonal axis. Neither figure says anything about the
resolution of the image, the sensor or the entire system. However these
are real samples, they are *not* interpolated.
Let's put it this way: will a 2400 x 4800 device like we're discussing
resolve more line pairs at 4800ppi than at 2400ppi? (assume that we don't
have optical limitations to even the 2400 figure). I'm sure the answer is
no.
Well, your answer is wrong. Without optical limits then the sampling
density itself defines the resolution, the limit being half the sampling
density. So, of course the scanner will resolve more in the 4800ppi
axis than it will in the 2400ppi axis!
Why don't we simply have 300 x 4800 scanners, if the longer axis is NOT
interpolated.
No practical reason at all - but would you want a scanner which had 16x
as much resolution in one axis as it has in the other?
Many systems do have such a different resolution, in fact, every time
you go to the cinema you are looking at an image which has around 50%
more resolution in the vertical axis as it has in the horizontal - the
film camera uses an anamorphic lens to compress the image horizontally
on the film and the projector uses a inverse anamorphic lens to stretch
it back out. The result is an image with substantially less resolution
in the horizontal axis than in the vertical - but have you ever noticed?
Stepper motors are cheaper than CCDs I'd think.
Nope.
Seems your
premise would indicate that a 300 x 4800 would generate same quality
image as 2400 x 4800, since each would NOT use interpolation in
generating the final 4800 ppi image.
Not at all. Quite specifically, resolution and interpolation are
completely separate things and, in fact, have nothing whatsoever to do
with each other. A 300x4800 image can only support 1/8th of the
resolution that a 2400x4800 image can support. However, just because
the resolution is limited to 150cy/in, which a 300ppi scam can perfectly
adequately resolve, it does not mean that a 1200ppi, 4800ppi or
gazillion billion ppi scan is interpolated. If they are real samples,
captured from the image at a gazillion billionths of an inch apart then
they are NOT interpolated, they are real.
Furthermore, from a legal perspective, if a scanner is obtaining
additional samples through interpolation then these days it has to be
declared. That is why the specification for the scanner at the start of
this thread quite specifically states:
"
2400 x 4800 dpi (Optical)
12800dpi (interpolated)
"
The 2400x4800ppi is NOT interpolated, they are real samples. The
4800ppi may be much finer samples than the optical resolution of the
scanner, but then so can the 2400ppi - indeed the Nyquist Samplng
Theorem specifically states that they must be at least that fine.