ISO Invariance: an experiment

if the ISO is increased while the final image brightness is kept constant, then it follows that the exposure decreases and the noise increases. Mathematically, the noise is an increasing function of the ISO. This statement does not imply any physical cause and effect.
I do it the other way around, I set the exposure, and increase ISO to get the lightness I want. What follows is that with the increase of ISO perceived noise decreases.
 
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Here's an example from the popular (but frequently incorrect) site Cambridge in Colour:

9d7d400a4cb84f0f9584a11410a47f36.jpg.png

In the diagram, the "ISO Speed" is shown as directly affecting (only) image noise. In the text, the claim is that "ISO speed affects image noise", and that "ISO Speed: controls the sensitivity of your camera's sensor to a given amount of light".
This site is correct to say that ISO speed affects image noise because this is in the context of the exposure triangle.
The context is given here. It mentions nothing about the model applying only to a constant exposure or a constant lightness. It merely say you can use many combinations of the three settings to achieve the same exposure, not that the model only applies if you do.
This means that the important text is: one can therefore use many combinations of the above three settings. This means that changing ISO changes exposure.
First, increasing the ISO while increasing the shutter speed or narrowing the aperture doesn't produce the same exposure, so the text you cite is incorrect.

Second. the diagram and text don't say that it applies only to a constant exposure, or more properly a constant lightness. It says that changing ISO changes noise, full stop.

Third, increasing ISO does not cause an increase in noise, even in the context of constant exposure. If you increase ISO while holding exposure constant, you will get the same or less noisiness.
 
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Nearly every exposition of the exposure triangle I have seen says that noise increases with ISO, or that increasing ISO increases the noise.
That is an almost meaningless statement without further context.
Well I have provided further context in another post ITT where I provide an example of a typical exposition of the exposure triangle, as found at CiC.
I've noticed from this forum that a lot of photographers have a very weak understanding of the importance of distinguishing between constants and variables (and distinguishing between dependent and independent variables).

"Increasing ISO increases the noise" is true
Not really. It misses the part about the increase in nosiness being caused by the accompanying decrease in exposure, not directly by the increase in ISO.
I'm sure you could prove black is white with arguments like that!
Pardon me, but no; while "Increasing ISO increases the noise" is the kind of argument that attempts to prove black is white, because increasing ISO tends to decrease read noise, while decreasing exposure decreases the signal-to-noise ratio.
The full statement I wrote (most of which was cut out by FingerPainter
Read it again, Tom. I didn't cut out any of your comment. I merely placed my comment in the middle of yours.
) was:

"Increasing ISO increases the noise" is true if the final image brightness is kept constant. By final image, I mean the jpeg produced by the camera.

This is a statement about mathematical dependence, not physical cause and effect.
You are making an assumption about dependence that is not stated by the model: that an autoexpoosure mode is being used.
The second statement I made was:

"Increasing ISO increases the noise" is generally false if the exposure (shutter speed and f-number) is kept constant.

This statement is also about mathematical dependence, not physical cause and effect.
BTW I do hope you realize that my orignal post ITT was in no way a criticism of your experiment. Rather it was a comment that your experiment correctly shows what is going on, which is in contrast to what the "exposure triangle" model (as usually presented) shows.
 
The full statement I wrote was:

"Increasing ISO increases the noise" is true if the final image brightness is kept constant. By final image, I mean the jpeg produced by the camera.
Decreasing exposure is the reason for the increase in the perceived noise. Compensating lightness by increasing ISO doesn't compensate the decrease of SNR that is caused by the decreased exposure.
Agreed, but if the ISO is increased while the final image brightness is kept constant, then it follows that the exposure decreases and the noise increases.
Agreed. Now where does the exposure triangle model as presented by CiC or most other popularizers of the model even mention "final image brightness"?
Mathematically, the noise is an increasing function of the ISO.
Noisiness (NSR) is an inverse function of the ISO, and an inverse function of the exposure. As either ISO or exposure increases, the nosiness decreases. The relationship between ISO and shot noise is non-causal, so shot noise is not a function of ISO.
This statement does not imply any physical cause and effect.
Actually, where I learned functions (as opposed to relations) stating that one variable was a function of another implied a causal relationship.
Mathematically, noise can be considered to be a function of a whole load of variables including shutter speed, f-number, ISO, subject brightness, camera characteristics, etc.
Yes.
The final image brightness is another function of these various variables. It is perfectly possible to impose the constraint that the image brightness remains constant
Perfectly possible, but not stated in the usual presentation of the "exposure triangle" model.
(which is what happens if you use one of the auto modes on your camera). That constraint is just as valid as the simpler constraint of saying that the exposure does not change.
 
my orignal post ITT was in no way a criticism of your experiment.
Tom's experiment is very useful, because among other things it shows the "hidden" problem of not enough precision in the shadows (too heavy rounding), leading to visible non-linearity and channel mismatch after the push. With 14 bit raw it is much less of a problem, by the way. ADC should better be used optimally, full scale.
 
I’ve only really experimented in terms of dynamic range, rather than testing invariance. I was using a Sony A7II, so the older Sony sensor. See:


But how do we define sufficient? For full frame, I tend to think in terms of two stops based on the best equipment I have (a modest A7II - an A7RII or Nikon D750/810 owner may think in terms of three or more). So:
  • Can I under expose by two stops, at base ISO, with no practical noise penalty compared to shooting at base ISO x 4?
  • Does the same hold true if, for example, a low light, hand held shot requires ISO 3200, but I instead shoot at ISO 800 and under expose by two stops (nice to have if you shoot night/Street with very strong highlights)?
That sounds pretty sufficient to me. I actually felt one stop of leeway was sufficient, but even the very latest APS-C and Four Thirds tech can do better than that. For daylight shooting, I think colour shifts will always be a problem, to some degree, especially when it comes to getting a natural blue sky.

I’m not sure absolutely invariant (so called ISOless) sensors exist. That said, a degree of invariance is useful to have when it comes to exposing to protect the highlights.
 
The full statement I wrote was:

"Increasing ISO increases the noise" is true if the final image brightness is kept constant. By final image, I mean the jpeg produced by the camera.
Decreasing exposure is the reason for the increase in the perceived noise. Compensating lightness by increasing ISO doesn't compensate the decrease of SNR that is caused by the decreased exposure.
Agreed, but if the ISO is increased while the final image brightness is kept constant, then it follows that the exposure decreases and the noise increases.
Agreed. Now where does the exposure triangle model as presented by CiC or most other popularizers of the model even mention "final image brightness"?
Mathematically, the noise is an increasing function of the ISO.
Noisiness (NSR) is an inverse function of the ISO, and an inverse function of the exposure.
But why does one apparently get a decrease in noise in the XT2 when going from ISO400 to ISO800?
 
Could you please make raw files available?
Follow this link to access the raw files. The exposure of the first was determined by the camera's metering (in matrix mode), I did not attempt to ETTR it.
Thank you. The problem is caused by the rounding of and close to the black level. It manifests as typical magenta contamination. The magenta tint is present even with simple matrix profile, profile twists are not the main reason of the problem here,
Agreed.
 
why don't you now show us the same shot that is correctly exposed at base ISO ?

Don
 
The full statement I wrote was:

"Increasing ISO increases the noise" is true if the final image brightness is kept constant. By final image, I mean the jpeg produced by the camera.
Decreasing exposure is the reason for the increase in the perceived noise. Compensating lightness by increasing ISO doesn't compensate the decrease of SNR that is caused by the decreased exposure.
Agreed, but if the ISO is increased while the final image brightness is kept constant, then it follows that the exposure decreases and the noise increases.
Agreed. Now where does the exposure triangle model as presented by CiC or most other popularizers of the model even mention "final image brightness"?
Mathematically, the noise is an increasing function of the ISO.
Noisiness (NSR) is an inverse function of the ISO, and an inverse function of the exposure.
But why does one apparently get a decrease in noise in the XT2 when going from ISO400 to ISO800?
I'm not sure one actually gets a decrease in noise if one increases ISO from 400 to 800 while dropping exposure one stop. However, one does get less of an increase in noise than one would otherwise expect, and that seems to be because the X-T2 has a dual conversion gain sensor in which the conversion gain switches between ISO 640 and ISO 800.
 
why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?

Don

--
Olympus EM5, EM5mk2 my toys.
http://www.dpreview.com/galleries/9412035244
past toys. k100d, k10d,k7,fz5,fz150,500uz,canon G9, Olympus xz1
 
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why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.

Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible. When this situation occurs, the question arises, once has maximized exposure subject to shooting constraints, whether it is better to enact the necessary additional brightening using in-camera ISO or during raw processing. The ISO-behavior of one's camera answers this question.

Thus there was no need for Tom to include an ETTR shot in his test, because the value of ISO-invariance is necessarily at an exposure less than ETTR. The ETTR exposure is an irrelevant comparison.

Tom's problems were that his test extended over an ISO-variant range of his E-M10 II and that he was definitely straining the ability of most cameras in applying a 5 EV push. I have been able to push my E-M5 II 3-1/2 EV with good success, but I prefer to keep at 3 EV or below.

Meanwhile, it would be nice if you would clean your shoes before entering again.

--
gollywop
I am not a moderator or an official of dpr. My views do not represent, or necessarily reflect, those of dpr.

http://g4.img-dpreview.com/D8A95C7DB3724EC094214B212FB1F2AF.jpg
 
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why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.

Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible. When this situation occurs, the question arises, once has maximized exposure subject to shooting constraints, whether it is better to enact the necessary additional brightening using in-camera ISO or during raw processing. The ISO-behavior of one's camera answers this question.

Thus there was no need for Tom to include an ETTR shot in his test, because the value of ISO-invariance is necessarily at an exposure less than ETTR. The ETTR exposure is an irrelevant comparison.
But one for comparison might have been nice.
Tom's problems were that his test extended over an ISO-variant range of his E-M10 II and that he was definitely straining the ability of most cameras in applying a 5 EV push. I have been able to push my E-M5 II 3-1/2 EV with good success, but I prefer to keep at 3 EV or below.

Meanwhile, it would be nice if you would clean your shoes before entering again.

--
gollywop
I am not a moderator or an official of dpr. My views do not represent, or necessarily reflect, those of dpr.

http://g4.img-dpreview.com/D8A95C7DB3724EC094214B212FB1F2AF.jpg
 
why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.

Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible.
When is it not possible?
 
The full statement I wrote was:

"Increasing ISO increases the noise" is true if the final image brightness is kept constant. By final image, I mean the jpeg produced by the camera.
Decreasing exposure is the reason for the increase in the perceived noise. Compensating lightness by increasing ISO doesn't compensate the decrease of SNR that is caused by the decreased exposure.
Agreed, but if the ISO is increased while the final image brightness is kept constant, then it follows that the exposure decreases and the noise increases.
Agreed. Now where does the exposure triangle model as presented by CiC or most other popularizers of the model even mention "final image brightness"?
Mathematically, the noise is an increasing function of the ISO.
Noisiness (NSR) is an inverse function of the ISO, and an inverse function of the exposure.
But why does one apparently get a decrease in noise in the XT2 when going from ISO400 to ISO800?
I'm not sure one actually gets a decrease in noise if one increases ISO from 400 to 800 while dropping exposure one stop. However, one does get less of an increase in noise than one would otherwise expect, and that seems to be because the X-T2 has a dual conversion gain sensor in which the conversion gain switches between ISO 640 and ISO 800.
Hmm, perhaps the better way to state it, yes.
 
why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.

Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible.
When is it not possible?
When the shutter speed necessary to stop motion blur or camera shake is too fast to allow enough light on the sensor to ETTR or when the aperture necessary to achieve desired depth of field is too small to allow enough light on the sensor to ETTR.
 
I was the first respondent to this thread and have therefore been automatically alerted to all the subsequent postings without additional input from myself. I have read all these additional posts.

But now that the kooks have arrived (not you Golly), I think I'll click on the setting to eliminate the alerts of further posts.
 
why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.

Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible. When this situation occurs, the question arises, once has maximized exposure subject to shooting constraints, whether it is better to enact the necessary additional brightening using in-camera ISO or during raw processing. The ISO-behavior of one's camera answers this question.

Thus there was no need for Tom to include an ETTR shot in his test, because the value of ISO-invariance is necessarily at an exposure less than ETTR. The ETTR exposure is an irrelevant comparison.
But one for comparison might have been nice.
Yes, irrelevancies of all sorts, even posts, are always nice. ;-)
 
why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap :-) because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.

Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible.
When is it not possible?
When the shutter speed necessary to stop motion blur or camera shake is too fast to allow enough light on the sensor to ETTR or when the aperture necessary to achieve desired depth of field is too small to allow enough light on the sensor to ETTR.
I would think bif in certain conditions or evening/indoor sports would be great examples.
 

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