> On 7/3/04 6:18 AM, "Bob Smith" <[EMAIL PROTECTED]> wrote:
> 
>> But you're assuming that a bit has some meaning as a unit of measure;
>> or at least a relationship with a unit of measure.  It doesn't.
> 
David Kay wrote:

> Surely there's a relationship between bit depth and dynamic range when
> available bits are required to describe tonal variations in our subject?

No.
> 
> For example:
> Imaging we only had an 8-bit capture device and I set up a shot where the
> highlights were underexposed by say two f-stops.
> 
> So instead of having all 256 8-bit levels available, I now have only 64.

Ok Let's play this theory game.
You have all 256 levels available as you always do in 8 bit, but everything
from 64 to 0 will be pitch black, or filled with noise if we were to follow
you (flawed) logic.
If you underexposed the image two f-stops, your image would be underexposed
by two f-stops, which, depending on the dynamic range of the camera can mean
a great deal of things in regard to which bit will hold the last discernible
detail. Increasing the bit depth of the camera would allow you to draw out
the bits that you couldn't discern in 8 bit, but you couldn't pull out
details that are totally black (0 in any bit depth).
Where 10 bit is an advantage is when you in 8 bit, after 6-7 bits
(256,128,64,32,18,8,4,2) have to decide whether a dark colour will be
rendered with a value of 1,2, 3 or 4. If you have 10 bit, the choice of that
same pixel colour is anything between 32 and 1. This will lead to more
accuracy in correctly rendering shadow details. It doesn't lead to the
camera being able to see darker colours though.

> 
> My subject happens to have a tonal scale of 8 f-stops (measured with a spot
> meter) and the brightest part of the subject, thanks to my shoddy exposure
> technique, fell on 64, then 32 represents half that brightness or one f-stop
> less, 16 represents two f-stops less, 8 is 3-stops, 4 is 4-stops, 2 is
> 5-stops 1-is 6-stops until we run out of available bits with which to
> describe tonal variations in the subject.

No!
Without knowing the Dynamic range of the capture device (2 f.stops, 6, 7, 8
9, 10, 11, 12 or umpteen) there is no way of saying which bit's will be
black!
If we exclude any gamma tweak in the software (deviation from linear) any
curve adjustment (shoulder and toe contraction as on film) and colour
adjustment matrices (other than adjustments to the quantum efficiency after
colour filtration/bayer mosaic to adjust the spectral sensitivity of the
camera to something akin to what humans see - and removing IR and x-Ray
sensitivity) and a few other issues, AND we know that the camera has a
dynamic range of exactly 8  f-stops without introducing noise, then your
assumption is correct. (Sorry for the long sentence).
But it isn't.
> 
> Had I "exposed for the highlights" by placing them as far up the scale as
> possible, I could have captured all 8 f-stops of information - without
> turning up the fill light.

If your camera had a 10 f-stop dynamic range you would have anyway (assuming
linearity, no gamma/curve etc.). But if your sensor had had a 10 f-stop
dynamic range and you exposed for the highlights, then your absolute shadow
area would have been lighter than black so you would have needed post
shooting adjustment to fill the 8 bits fully. Or you would have been able to
see detail that your spotmeter couldn't measure out of the shadows.
Had the camera had 12 f-stop dynamic range you image would probably look
pretty flat and uninteresting without post adjustment, as your wouldn't have
any good black anywhere in the image. If your camera had an 8 bit f-stop
tonal range, but a 16 bit bitdepth, and you exposed for the highlights your
image would have been perfectly captured, with accurate shadow detail, and
no post capture adjustments would be nessesary.
> 
> Many recent medium format based digital backs have 16-bit A/D converters, so
> there's a huge f-stop range available.

These are separate issues.
It's like saying my car with 4 wheels can go 100 mph. Now if I get 12 wheels
I'd be able to go 300 mph...
Not exactly true, but more wheels would without doubt increase the road grip
and make sure the car will be more stable when you press it to the limits.
 
If you have a 12 bit chip and a 12 bit A/D converter there is no way you
will fit all 12 bit unharmed through the A/D converter, and you'd be left
with less than 12 bits. Therefore most vendors fit an A/D convert of a
higher bit depth than their CCD/CMOS sensor.

If they fitted a 139 bit A/D converter it wouldn't increase the dynamic
range one bit though. Dynamic range ARE different from Bit depth.

> Just make sure you don't overexpose,
> as it's very hard to put detail back once this happens.

True.
> 
> So isn't there a relationship between bit depth and subject contrast in
> f-stops?

Nope, not one bit 
<pun intended>.

Best Regards,
Thomas Holm / Pixl Aps

- Photographer, Educator, Colour Management Consultant & Seminar speaker
- Remote Profiling Service (Output ICC profiles)
- www.pixl.dk � Email: th[AT]pixl.dk
-- 


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