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Archive 2007 · 1D3 14bit sample

  
 
Jeff
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p.8 #1 · 1D3 14bit sample


Alan321 wrote:
"...Due to the tone conversion curve little or none of the data below about -5 stops can be used unless the raw data exposure level is increased prior to conversion."

"For most DSLRs the bright limit is about +3.7 stops brighter than middle tone, give or take a little bit. The dark end limit for these cameras is 12 stops darker than the bright end limit."


Got it, thanks for the great explanation.

So, just out of curiosity, where do you get these numbers from (especially that -5)? Is it simply looking at the DPP raw histogram dialog box, or is it some sort of calculated value?



Jun 19, 2007 at 02:04 PM
Alan321
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p.8 #2 · 1D3 14bit sample


Pondria wrote:
Alan,
I'll use your terminlogy to get my thought across better to you.
I have been maintaing the position that if you just shift the 12bit data to the right by two bits to make it a 14bit data and pad the two LSBs with zero, it would be effectively the same as the 14bit data that 1D3 produces UNLESS 1D3 has improved S/N. Because the 2 LSBs that 14bit has WITHOUT the improved S/N would be just random numbers (noise) containing no relevant information for the image.
I've been asking for the data to show us if there is any S/N improvements.
...Show more

Yes it would be the same as the 1D3 produces IF you multiplied the analogue data of another camera by 4 before converting to digital. However, if you do the analogue conversion to digital at 12 bit and THEN multiply those values by 4 you will still have the same level of quantisation as the original 12-bit data. There will be bigger differences between adjacent used levels but the extra levels in between will remain unused.

Consider this subset of data values:

12-bit data prior to multiplication:
....,10,11,12,13,...
would become
....,40,44,48,52,... (no pixels would have values 41, 42, 43, 45, 46, etc.)
when multiplied by 4. i.e. the increment is now 4 instead of 1.

Because the 1D3 does the A to D conversion at 14-bit we would expect to see
....,40,41,42,43,44,45,46,47,48,...
where the increment is just 1 instead of 4.

These values will have to be interpreted as meaning a quarter of their actual value but there are still 4 times as many levels to help reduce posterisation during processing.


How might this be used in practise ? Well lets suppose we underexposed and we want to brighten the shadows by one stop.

Our original 12 bit data goes from ...,10,11,12,13,... to ...,20,22,24,26,.... (increments of 2)

Our original 14 bit data goes from ...,40,41,42,43,.... to ...,80,82,84,86,... (increments of 2) and after allowing for shift of middle tone would become ...,20,20,21,21,22,... (increments of 1 after removing decimal fractions, because the data file only stores integer values)

The scaled up 12 bit data would go from ...,10,11,12,13,... to ...,40,44,48,52,... (increments of 4) to ...,80,88,96,104,... (increments of 8) and after allowing for shift of middle tone would become ...,20,22,24,26,... (increments of 2) which is just as with the standard 12-bit data and still with half the number of discrete levels as the 14-bit data.

In converting to 8-bit these would still be squeezed into only 256 possible levels but there should still be less posterisation

Here's another set of values, this time with an exposure adjustment of two stops:

12-bit 10,11,12,13 ---> 40,44,48,52 (increments of 4)
14-bit 40,41,42,43 ---> 160,164,168,172 ---> 40,41,42,43 (increments of 1)
modified 12-bit 10,11,12,13 ---> 40,44,48,52 (increments of 4) ---> 160,176,192,208 (increments of 16) ---> 40,44,48,52 (increments of 4)

And this time with a three stop exposure adjustment:

12-bit 10,11,12,13 ---> 80,88,96,104 (increments of 8)
14-bit 40,41,42,43 ---> 320,328,336,344 ---> 80,82,84,86 (increments of 2)
modified 12-bit 10,11,12,13 ---> 40,44,48,52 (increments of 4) ---> 320,352,384,408 (increments of 32) ---> 80,88,96,102 (increments of 8)


Conclusion: The 14-bit data initially has the same increment (1) between adjacent values as the 12-bit dat and pseudo-14-bit data (modified 12-bit data)(after returning it to 12-bit), but there are 4 times as many values to choose from.

When you increase the exposure level in software (not at image capture) you get smaller increments between adjacent levels in the 14-bit file by a factor of up to 4 compared with the 12-bit data (1 at nil change, 2 at +1 stop, 4 at +2 or more stops). There is no advantage to using the pseudo-14-bit data by multiplying the 12-bit data by 4 prior to manipulation and dividing by 4 afterwards, because the quantisation damage has already been done.


The significance of each value increment varies according to the data value. In very dark data it is a large portion of the total value, but at bright values it is only a small portion.


Recently obtained information shows that data below -7 stops from middle tone apparently cannot be utilised, at least by DPP software. In the interval between -6 and -7 stops there are only about 10 levels in 14-bit data and 2 or 3 in 12-bit data. Scale that up until you can see it and there will be a significant advantage in the 14-bit raw image data. However, the extent to which that advantage translates to an 8-bit data file for printing depends on the tone conversion curve. It would probably all be black unless you did a major levels increase.

A more realistic example would be data at -5 stops being adjusted to -3 stops in editing. Here the number of discrete data levels in the darkest stop visible in print would be about 40 for the 14-bit data and 10 for the 12-bit data. If you can see a tenth of a stop on a print then you will notice the improvement in the 1D3 files that have been lightened by two stops. If the data has not been lightened by two stops then you are unlikely to appreciate the difference in prints even though you may see it on a computer screen, because the data will be buried in the black area of the print.

The computer screens have 16-bit colours so you will always see the 14-bit advantage more readily on a computer than you will on a print or on an 8-bit file.


- Alan



Jun 19, 2007 at 02:53 PM
mmurph
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p.8 #3 · 1D3 14bit sample


OK, partly OT, but here is the 2002 post from Kodak that I was looking for:

Yes - you are correct. Most Pro-CCDs that have pixels greater than about 7um in size have very good specs for linear dynamic range; from the mid-60' to mid-70's dB. For example the Pro-14n sensor has 69db, as does the DCS 760 sensor (Kodak KAF-6302 if you want to look it up on kodak.com). These all fit quite nicely on a 12 bit A/D converter, which can sample up to 72dB effective range. If you use more bits than necessary (say 14) then they are wasted unless you cool the chip to lower the noise floor.

And from another source:

Each additional bit of resolution corresponds to an increase of 6 dB in signal-to-noise ratio.

Here is the Kodak data on their 39MP chip as of March 2007:

Linear Dynamic Range 71.4 dB

So it sounds like 12 bit is *mostly* adequate for their 39MP medium format chip .... in the Phase back, etc.

Edited by mmurph on Jun 20, 2007 at 01:18 AM GMT

Edited by mmurph on Jun 20, 2007 at 01:30 AM GMT



Jun 19, 2007 at 02:57 PM
mmurph
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p.8 #4 · 1D3 14bit sample


Paul Gardner wrote:
For those who insist that it doesen't help, or don't remember the 8 bit processors (8080), go take a course in electrical engineering.


Paul,

The question is whether you have meaningful data for those bits.

If you have a single, yes/no question, a single bit is sufficient and 8 bits is way overkill.

You could advertise a "64 bit executive decision making artifical intelligence system" with suitable marketing hype. But what you really have is a "0" or a "1".

Or 0000000"1" or 1111111"1" or 0101010"1", etc. in 8 bits



Jun 19, 2007 at 03:03 PM
Pondria
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p.8 #5 · 1D3 14bit sample


Alan321 wrote:
...
Consider this subset of data values:

12-bit data prior to multiplication:
....,10,11,12,13,...
would become
....,40,44,48,52,... (no pixels would have values 41, 42, 43, 45, 46, etc.)
when multiplied by 4. i.e. the increment is now 4 instead of 1.

Because the 1D3 does the A to D conversion at 14-bit we would expect to see
....,40,41,42,43,44,45,46,47,48,...
where the increment is just 1 instead of 4.


I notice that you keep thinking along this line. This is precisely where you and I differ. You don't get the 0,1,2,3 ( 2 LSB bits ) with 1D3. You get 2 bits of RANDOM numbers. The minimum quantization that you get is 4 instead of 1.

It's actually more appropriate to think in fractional terms.
You don't start with 4096 and 16384. You start with 1.0 ( Blown-out ) regardless of bit depth. And you go down in stops. Like;
1, 0.5, 0.25, 0.125 and so on. This way, regardless of the camera, you get the same result for the same exposure. The only difference is:
With 8 bit the sequence ends at 1/256 or 0.004.
With 12 bit , it ends at 1/4096
With 14 bit, it ends at 1/16384

AND I have been telling people that the Noise level is around 1/512 of the full exposure. Anything finer is RANDOM numbers.



Jun 19, 2007 at 03:22 PM
Alan321
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p.8 #6 · 1D3 14bit sample


Jeff wrote:
Got it, thanks for the great explanation.

So, just out of curiosity, where do you get these numbers from (especially that -5)? Is it simply looking at the DPP raw histogram dialog box, or is it some sort of calculated value?


From DPP. Look at the raw histogram in the raw panel of the tools pallette. Apart from the actual histogram of the raw image data you can see the extent of the maximum and minimum exposure on the horizontal scale, reresented as the number of stops above or below "middle tone". It looks like about +3.6 to +3.8 depending on the camera model (you need a raw file from each camera to do this comparison).

Now look at that tone conversion curve that is superimposed over the histogram. It shows how the raw image brightness level on the horizontal scale will be mapped to the 8-bit data, for which the vertical scale represents the 8-bit value range from 0 at the bottom to 255 at the top.

Look carefully and you'll notice the tone curve bottoms out at around -5 stops if the raw image contrast is set to -4, or just below -4 if the contrast is at +4. You'll also see at the top right that the curve tops out at about +3.5 no matter what contrast you use, but the point at which it almost tops out can be about a stop lower at high contrast. In older versions of DPP the top point moved more.

My analysis is based on looking at the current and previous versions of DPP because no other software I had would show a raw image histogram. The new versions seem to be different and I suspect that they don't follow the in-camera settings as closely as the early versions did. There is a possibility that the tone conversion curve is only an approximation and that it actually varies a bit, because there is nothing to actually confirm that the vertical scale of the histogram window is linear or complete. What if it only goes from 20 to 240 instead of 0 to 255 ? That could stretch the -5 stop conversion limit by another one or more stops. I'm hoping that future versions of DPP will clarify such details further.

Now I've described how the tone curve bottoms out at -5 stops. That means that data darker than that will map to zero or very close to it in a conversion to 8-bits. However, at the top of that raw panel there is a Brightness Adjustment slider with a +/- 2 stop range. It lets you shift the raw histogram up to 2 stops right or left, and brings an extra 2 stops to within the the scope of the tone curve. That gives a minimum useful data level of -7 stops on the raw histogram. Anything below that is not readily accessible using DPP, but other software may let you get at it. The trouble is (or at least was) that the other software didn't show you it was there because it had no raw histogram.

Having made any adjustments in the DPP raw panel, switch over to the RGB (8-bit) panel to see a histogram that shows individual colour channels (often indicating a problem with a single channel at high brightness levels). This histogram can also be manipulated via the levels and curves, but here it happens at the 8-bit level instead of at the 12- or 14-bit raw level so it is less desirable. It therefore cannot extract any more data from the 12- or 14-bit information. i.e. cranking up the exposure another two stops here will not access the raw image data that was below -7 stops.



When I first started looking into this stuff the internet abounded with so-called experts on histograms, but none of them adequately explained to me how a linear sensor (in which halving exposure halved the data value) could produce an 8-bit RGB histogram that had white at one end (with a value of 255) and middle grey in the middle (with a value of 127, or half of 255, or one stop less than white) and black at the other end (with a value of 0). It was DPP that clarified things for me. From then on I knew what my camera was showing me and I knew how camera settings like contrast were affecting my jpeg files and my highlight exposure warnings on the LCD. Nothing else and no-one else helped as much at the time. Nowadays many more of us know what is going on but an awful lot still do not, and for them I recommend DPP combined with shooting raw mode as a useful learning tool. It is just a great bonus that it comes free with the camera.

- Alan




Jun 19, 2007 at 03:35 PM
Alan321
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p.8 #7 · 1D3 14bit sample


Pondria wrote:
I notice that you keep thinking along this line. This is precisely where you and I differ. You don't get the 0,1,2,3 ( 2 LSB bits ) with 1D3. You get 2 bits of RANDOM numbers. The minimum quantization that you get is 4 instead of 1.


That is possible but not necessarily true. The sensor starts with an analogue voltage signal that could be scaled any which way by amplifiers and could then be converted to digital in such a way that it counts in increments of 1 (or decrements of 1 from the maximum value). Doing it the way you suggest offers absolutely no advantage, so I really don't believe they would bother with it. Even as marketing hype it will very soon fail if there is no real advantage.


It's actually more appropriate to think in fractional terms.
You don't start with 4096 and 16384. You start with 1.0 ( Blown-out ) regardless of bit depth. And you go down in stops. Like;
1, 0.5, 0.25, 0.125 and so on. This way, regardless of the camera, you get the same result for the same exposure. The only difference is:
With 8 bit the sequence ends at 1/256 or 0.004.
With 12 bit , it ends at 1/4096
With 14 bit, it ends at 1/16384


That's more appropriate from OUR point of view, but the cameras actually do not produce the same result for the same exposure. As DPP has revealed the different camera models have been assigned different tonal values for middle tone, and hence a different significance for the exposure level at which the data maxes out or bottoms out. Canon clearly map a number of their choosing to middle tone and then build the rest of the histogram around that. To achieve this they just have to tweak the analogue amplifiers that feed the ADC in the sensor.

AND I have been telling people that the Noise level is around 1/512 of the full exposure. Anything finer is RANDOM numbers.


You may well be right about the noise but I don't know enough to argue the point. Is anything below 1/512 progressively noisier or is it only noise ? 1/512 is 9 stops below maximum, but if that is a solid noise floor then aren't the next one or two stops above that likely to be unusable to varying degrees, not because they contain no data but because the SNR is just too low ? It would be like listening to music with a loud hiss in the background. If 1/512 is where the noise first becomes noticeable then there is scope for more data to be recoverable below 1/512. Or, it could even be a sudden transition from no noise to full noise, but I doubt that.

No matter where the useful cut-off level is, it is still better to have more discrete values describing the data above that level than to have less. There is no reason why they can't do that with a 14-bit A to D converter and appropriate manipulation of the analogue data prior to conversion. And they can get more values from 14 bit than they can get out of a 12-bit ADC.

- Alan



Jun 19, 2007 at 04:10 PM
Jeff
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p.8 #8 · 1D3 14bit sample


Alan321 wrote:
Look carefully and you'll notice the tone curve bottoms out at around -5 stops if the raw image contrast is set to -4, or just below -4 if the contrast is at +4. You'll also see at the top right that the curve tops out at about +3.5 no matter what contrast you use, but the point at which it almost tops out can be about a stop lower at high contrast. In older versions of DPP the top point moved more.


This is where I need to get home and verify what you're saying for the MkIII (not that I don't believe you, of course ). Again, with that horribly small histogram dialog box (per my post in the 'DPP Comparison' thread), it's really tough to see accurately. I know that in some cases moving the black point slider affected the image before I'd gotten to the point where I thought the curve started, but I wasn't paying enough attention at the time, plus, it was kinda late.

My analysis is based on looking at the current and previous versions of DPP because no other software I had would show a raw image histogram. The new versions seem to be different and I suspect that they don't follow the in-camera settings as closely as the early versions did. There is a possibility that the tone conversion curve is only an approximation and that it actually varies a bit, because there is nothing to actually confirm that the vertical scale of the histogram window is linear or complete. What if it only goes from 20 to 240 instead of 0...Show more

Thanks again for all the background explanation. Just today I was convincing myself I finally needed to spring for the CS3 upgrade, since there was 'no way' to work with the CR2 files (especially since Aperture hasn't yet been updated). I think based upon your input maybe I'll spend some time working with DPP before I do so. Thanks.

-Jeff



Jun 19, 2007 at 06:23 PM
Jeff
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p.8 #9 · 1D3 14bit sample


OK, so I just got home to verify my point above, and found I'd remembered correctly (whew!). For the HTP image, when you drag the black point slider, it jumps directly to about -7.25, which I would assume is where the toe of the curve begins (i.e. leaves the x-axis). You cannot even remotely see that the curve extends this far to the left, due mostly (I would presume) to the rather small dialog box and histogram.

Here's a screengrab of where the cursor jumps to, and you cannot select anything to the left of this point:



Jun 19, 2007 at 10:33 PM
Jeff
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p.8 #10 · 1D3 14bit sample


As you continue to move the black point slider to the right, you can see very subtle changes in the shadows (note how it is slightly harder to read the 'Telluride' on the building). Note that it jumps in roughly 1/2-stop increments...


Jun 19, 2007 at 10:35 PM
Jeff
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p.8 #11 · 1D3 14bit sample


As one would expect, the tone curve for the non-HTP file starts at -8.25 (I just looked, but did not post a screengrab).

So Alan, it would appear to me that the tone curve bottoms out at about -7.25 stops (for the HTP example), not the value of -5 that you quoted above. If I'm off base here, please set me in the right direction, but that's what I'm seeing with the MkIII file.



Jun 19, 2007 at 10:41 PM
Pondria
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p.8 #12 · 1D3 14bit sample


Jeff ( David or whoever )
Would you add the 1D3 data to the FM DR measurement database ? If you feel like;
http://www.sesee.com/Photo/Exports/DR-2007-03-06.gif


Here is pretty simple procedure which doesn't require any chart or equipments.

1. Find a Gray card or off-white color wall. Just make sure that the area has no feature or shadows. Naturally lighted In-door is preferred.
2. Set the Camera ISO @100 ( or whatever the Native ISO )
3. Set the Exposure stop increment to 1/3.
4. Set the Camera at the manual setting. Fix the Aperture @ f/8 or so ( Not critical ). Now, we are going to play with only the shutter speeds.
( If you take more than 2 min through this point, you would not be a photographer )

5. Click the shutter speed dial to push up your exposure meter to +2.
6. Take a shot, and increment the shutter speed dial by one click.
7. Repeat the step 6 above about 6 times to cover +2 to +4 range with 1/3 increment.

8. Click the shutter speed dial to opposite direction to push down your exposure to -2.
9. Take a shot, and decrement the speed dial by one click.
10. Repeat the step 9 above about 9 times to cover -2 to -5 range with 1/3 decrement.

Now you have bunch of raw files. Good news is that you don't need to process them. You only look at them with Adobe ACR.
11. Open Photoshop. Make sure the Brightness setting in the ACR is 50.

Let's decide the upper limit.
12. Open the files one by one from +2. The peak will gradually move toward the right . Eventually you will see something like the one on the left below.
13. IMPORTANT: Slide the Exposure adjust slider to the left to see if you can move the ENTIRE peak to the left. ( See the one on the right hand side ). If you can, the shot is within the range. If you cannot, it is blown-out.
http://www.sesee.com/Photo/Exports/Histo-High-limit.gif

Now, let's decide the lower limit. This is not as obvious as the upper limit. This can be very subjective, too.
14. Open the files one by one from -2. The peak will gradually move toward the left. Eventually you will see something like the one on the left below.
15. The ENTIRE peak should be still contained. ( Check the left tail hitting the ground )
16. IMPORTANT: Slide the Exposure adjust slider to the right to see if you can move the ENTIRE peak to the right. ( See the one on the right hand side ). You will see that the left tail is dragging over long. You should be able to separate it cleanly. You will get to the point where you cannot separate the peak out of the noise ( or left wall ). ( The Blue tail will drag longer )
http://www.sesee.com/Photo/Exports/Histo-Low-limit.gif

In my case with D30, the upper limit was 1/5 sec and the lower limit was 1/500 sec. With the camera in hand, I counted the clicks from 1/5 to 1/500 to find that there were 20 clicks. So, the DR is 6 2/3 stops.

The whole procedure is much simpler than it looks. Once you understand how the lower and upper limits are determined, you can do this quickly.

==
Please, post your result with your Canon DSLR. I volunteer to collect the data.
The DR may look greater than you think. It all depends on how much noise you can take. It is important that everyone measures the lower limit the same way consistently.




Jun 19, 2007 at 11:32 PM
Jeff
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p.8 #13 · 1D3 14bit sample


Just out of curiosity, what's the point of shooting all of the intermediate values, ones which are clearly within the DR? Is it really necessary, as long as you 'find' the endpoints?


Jun 20, 2007 at 12:37 AM
Pondria
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p.8 #14 · 1D3 14bit sample


Nope. It is Not necessary.



Jun 20, 2007 at 12:52 AM
Alan321
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p.8 #15 · 1D3 14bit sample


Jeff wrote:
As one would expect, the tone curve for the non-HTP file starts at -8.25 (I just looked, but did not post a screengrab).

So Alan, it would appear to me that the tone curve bottoms out at about -7.25 stops (for the HTP example), not the value of -5 that you quoted above. If I'm off base here, please set me in the right direction, but that's what I'm seeing with the MkIII file.


I agree with your observations about the dark level starting at -7.25 or -8.25 but I'm not sure we can conclude that the tone curve starts at that point instead of -5. Maybe it does, but practically the curve is so low in value that it probably doesn't matter anyway unless, as I mentioned previously, there is something unclear about the vertical scale of the tone curve diagram.

Looking at the curve as pesented by DPP, a level of -8 stops will map to zero in the 8-bit data output. So will -7 stops and -6 stops and -5 stops. So where then does the curve really start ? It is still possible that the data between -5 stops and say -7 stops is only accessible if the raw image data exposure level is increased via the brightness adjustment slider or if a non-DPP raw converter is used. In any case, showing a minimum level at -11 stops seems to be a waste of space in the histogram window.

Also note that when you shift that dark or bright limits you are compressing the rest of the tone curve horizontally and so affecting all of the other tones - not just making those below the new dark limit turn black. This will have affected our ability to read the sign on the building in the example you posted probably more than any real effect on the levels below -7 stops.

- Alan



Jun 20, 2007 at 03:58 AM
Jeff
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p.8 #16 · 1D3 14bit sample


Hmm... Interesting. So just what is all this data to the left of -8 that cannot be accessed? Is it data in which the signal to noise ratio is too low to be useful, thus Canon doesn't give access to it?



Jun 20, 2007 at 08:03 AM
Paul Gardner
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p.8 #17 · 1D3 14bit sample


For those interested, here is a link to one of the largest ADC companies around.
http://www.analog.com/en/subCat/0,2879,760%255F788%255F0%255F%255F0%255F,00.html



Jun 20, 2007 at 08:13 AM
Pondria
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p.8 #18 · 1D3 14bit sample


Got two files from Jeff. Thak you !

ACR can't read one of them although the embedded jpegs were all recognised OK. Maybe corruption during transferring.

First thing that I notice was the file size. Traditionally, 12bit Canon RAW files are pretty much same as the pixel count in size. For example, 8MP camera will produce 8MB raw file size. This has been consistent with all Canon cameras that I know of including 1DsII. So, it is expected that 10MP 1D3 with 14bit data would create 10 x 14 / 12 = 11.6MB files. The files that I got are around 10MB or less ( like 12bit case) Maybe different compression ? Or maybe, just the information contents is not as much as the MP number suggests.



Jun 20, 2007 at 08:36 AM
Paul Gardner
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p.8 #19 · 1D3 14bit sample


Jeff: all that data is down along the noise floor which means that it takes more bits to extract and process it. As I keep saying, a good DSP algorythm can dig out signal 6 Db below the noise floor, so there is a lot more data there than can be recovered in 12 bits. 16 is a good start. 24 is better. My guess is production cost would be under $20.00 per camera. If Pentax can do it.(Alibet they don't use it very well) so can Canon, and probably a lot better, My suspisions is that Pentax is positioning themselfs for their "K1D" which is probably on the drawing board waiting for a low noise sensor from some sensor manufacture. I doubt that Canon would sell them sensors. Most of the sensor manufactures are still using 6 or 8 inch wafers, and until they go to 12 inch wafers the cost is going to remain high. The computer semiconductor industry started the changeover to 12 inch wafers close to 10 years ago which has led to the amazing lower cost of more and more complex CPUs. Bottom line is that we haven't even scratched the surface of what is coming to consumers. A lot of which allready exists.


Jun 20, 2007 at 08:39 AM
Pondria
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p.8 #20 · 1D3 14bit sample


The histogram on ACR is no where as nice as the DPP produces. The upper end is blown-out and not recoverable with EV adjustment. The lower end is compressed at the left wall, also not recoverable with EV adjustment. In other words, Singal is railed at both ends. ACR might not know how to handle the new format ?



Jun 20, 2007 at 08:40 AM
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