Methodology and Curve Interpretation

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ic-racer

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FYI on Sensitometer "Certification" for radiology. Common X-ray sensitometers are used for making control strips, not to determine the ISO sensitivity of the X-ray materials. So the calibration/certificatioon is not to an ISO standard. For example an X-rite sensitometer, if sent to the factory is calibrated as such:

X-Rite sensitometers are calibrated at exposure setting “3” at the factory. The exposure of Step 11 is adjusted to match factory standard instruments maintained by X-Rite.
The sensitometer is calibrated to expose screen-type films normally used for general radiography to an approximate density of 1.0D+ Base+Fog on Step No. 11.

All of my sensitometers have some type of sticker on them indicating that at one time they were certified or calibrated to the manufacturer's standard. But none of them indicated the light output. The 'certification' is to verify the output has not changed since new.

So, yes if Aparat has a source that can read and certify the output, returning the exact numerical value to the consumer, that would be different than the usual tests done to satisfy radiology department QA criteria.
 
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ic-racer

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So, you sent your LED based sensitometer and they returned a document stating the luminous exposure in lux-sec?
 

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Determining Film-Speed: Ensured Shadow-Contrast Criterion

As I've been tinkering with developers, I've been frustrated with the inadequacies of the ISO method of determining film speed. So I created another method, which appears to solve the problem well. The problem is to determine the minimum exposure that yields adequate shadow-contrast, and is easy to compute and doesn’t restrict you to just one contrast. Here it is. Please post whether you see any shortcomings to it.

I thought of starting a new thread, but this fits the topic of “Methodology and Curve Interpretation” perfectly, so I put it here. Moderator, feel free to move this proposal to its own thread if you wish.

Mark

Proposal for the Ensured Shadow-Contrast Criterion for Determining Film-Speed​


Mark Overton, April 2023​

There are some significant problems with the present ISO standard for determining film speeds.
  • A film speed can only be computed when the film is developed to a specific and rather high contrast, making it time-consuming to determine a speed. Furthermore, the resulting speed will not represent realistic conditions.
  • The standard is based on films available in the 1930s and 1940s, and many of today’s films are substantially different. Thus, computed speeds often differ from true speeds determined by testing.
  • The standard is based on the 0.3Gbar criterion, representing a location on the H-D curve that will print black, and thus can yield insufficient or excessive shadow contrast.
I have devised a new method of determining speed that solves the above problems, and most importantly, it guarantees adequate contrast in the shadows.

Shadows are the problem. For a general purpose film and developer, any H-D curve has a high enough slope to ensure decent contrast of midtones and highlights. But its toe region starts horizontal, and rises slowly or quickly, determined by film and environment. This region determines shadow-contrast, so underexposure will put shadows on a part of the toe having a slope that’s too low, giving them insufficient contrast, making them muddy and too dark. The flaw of the 0.3Gbar criterion is that the point at 0.3Gbar on the H-D curve is located around one stop to the left of what it thinks is zone II, which is the exposure for the darkest tone that can reveal some texture, and thus that criterion cannot ensure adequate contrast at zone II. Thus, the ISO standard bases speed on a useless portion of the H-D curve, reducing the accuracy of its speed measurements.

The Ensured Shadow-Contrast criterion (ESC criterion) specifies that the ratio of shadow gradient to overall gradient must equal a specified constant. A speed-point s is selected on the x-axis of the H-D curve, and the two gradients (slopes) are computed over the intervals [s, s+0.3] and [s, s+1.8]. If their ratio equals the specified constant, then the criterion is satisfied, and the point s corresponds to zone II. In practice, one must try several values of s to find the closest match to the constant, and then interpolate (if desired) to improve the accuracy of s.

Here is a diagram showing the two gradients and the computations.
EnsuredShadCon.jpg

gs = mean gradient of shadows = (d(s+0.3)-d(s)) / 0.3
gi = mean gradient of entire image = (d(s+1.8)-d(s)) / 1.8
Ensured Shadow-Contrast criterion: Select s such that gs/gi = 0.64

The constant 0.3 was chosen because shadows occupy the interval [s, s+0.3], which are zones II and III. The constant 1.8 was chosen because that is the average range of exposure striking the film that contains detail (i.e., not pure white or black in the desired print or scan), after accounting for flare.

The constant 0.64 is critical, as it determines shadow-contrast. I selected the value 0.64 based on a few film strips to match ISO speeds, so this is probably not its ideal value. I suspect that its ideal value for the “first excellent print” will fall between 0.6 and 0.7.

As one can see, the computations for the ESC criterion are easy, and the concept of a ratio of grades is easy to understand. The salient features of this criterion are:
  • It is easy to compute.
  • It is easy to understand.
  • It guarantees adequate shadow-contrast.
  • It provides the correct speed for any contrast in any environment.
  • It avoids overexposure by providing the minimum required exposure.
I should mention that film speed varies with spectrum of light, developer, dilution, and overall contrast (gi). A standard for “box speed” must specify all of these. A standard also should avoid proprietary formulas, so I suggest using the original 1927 formula for D-76 with no dilution, freshly mixed with distilled or DI water, and developed to a gi of 0.58 at 20 degrees C, for a film exposed by CIE standard illuminant D65 (which emulates daylight).
 
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@albada ,

Very interesting!

I’d like to know… are you indexing to the meter at 10x your found speed point? Is your speed likely to be different than ASA/ISO for the same film?
 

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B461DF80-54B0-48A1-930C-0C8F926E5CBE.jpeg

I was toying with the thought that the familiar charts show how well “average” readings correlate to the 0.3G print studies.

But in my mind I imagined Zone System practice and Nikon matrix metering probably tighten the standard deviation.

Since we can demonstrate that Zone System indexes 2/3 stop towards greater exposure. And since we can assume Nikon matrix metering (when it’s set at the ASA/ISO) would place exposure right where it needs to be…

I imagined the two graphs would look something like this.
 

albada

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@albada ,

Very interesting!

I’d like to know… are you indexing to the meter at 10x your found speed point? Is your speed likely to be different than ASA/ISO for the same film?

Meters assumes a 3-1/3 stop drop from middle gray (10x), and my speed-point is at zone II, a 3-stop drop, so that would be 8x instead of 10x.

My speeds are supposedly more accurate than ISO, so they will differ even when contrast is the same, but I think the two will be reasonably close at the ISO CI of 0.615 (my corresponding gi values would be a little higher due to 1.3 range vs 1.8). One advantage of my method is that it gives you the speed to use for your contrast, your developer, your agitation scheme, etc.

Mark
 
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Determining Film-Speed: Ensured Shadow-Contrast Criterion

As I've been tinkering with developers, I've been frustrated with the inadequacies of the ISO method of determining film speed. So I created another method, which appears to solve the problem well. The problem is to determine the minimum exposure that yields adequate shadow-contrast, and is easy to compute and doesn’t restrict you to just one contrast. Here it is. Please post whether you see any shortcomings to it.

I thought of starting a new thread, but this fits the topic of “Methodology and Curve Interpretation” perfectly, so I put it here. Moderator, feel free to move this proposal to its own thread if you wish.

Mark

Proposal for the Ensured Shadow-Contrast Criterion for Determining Film-Speed​


Mark Overton, April 2023​

There are some significant problems with the present ISO standard for determining film speeds.
  • A film speed can only be computed when the film is developed to a specific and rather high contrast, making it time-consuming to determine a speed. Furthermore, the resulting speed will not represent realistic conditions.
  • The standard is based on films available in the 1930s and 1940s, and many of today’s films are substantially different. Thus, computed speeds often differ from true speeds determined by testing.
  • The standard is based on the 0.3Gbar criterion, representing a location on the H-D curve that will print black, and thus can yield insufficient or excessive shadow contrast.
I have devised a new method of determining speed that solves the above problems, and most importantly, it guarantees adequate contrast in the shadows.

Shadows are the problem. For a general purpose film and developer, any H-D curve has a high enough slope to ensure decent contrast of midtones and highlights. But its toe region starts horizontal, and rises slowly or quickly, determined by film and environment. This region determines shadow-contrast, so underexposure will put shadows on a part of the toe having a slope that’s too low, giving them insufficient contrast, making them muddy and too dark. The flaw of the 0.3Gbar criterion is that the point at 0.3Gbar on the H-D curve is located around one stop to the left of what it thinks is zone II, which is the exposure for the darkest tone that can reveal some texture, and thus that criterion cannot ensure adequate contrast at zone II. Thus, the ISO standard bases speed on a useless portion of the H-D curve, reducing the accuracy of its speed measurements.

The Ensured Shadow-Contrast criterion (ESC criterion) specifies that the ratio of shadow gradient to overall gradient must equal a specified constant. A speed-point s is selected on the x-axis of the H-D curve, and the two gradients (slopes) are computed over the intervals [s, s+0.3] and [s, s+1.8]. If their ratio equals the specified constant, then the criterion is satisfied, and the point s corresponds to zone II. In practice, one must try several values of s to find the closest match to the constant, and then interpolate (if desired) to improve the accuracy of s.

Here is a diagram showing the two gradients and the computations.
View attachment 335273
gs = mean gradient of shadows = (d(s+0.3)-d(s)) / 0.3
gi = mean gradient of entire image = (d(s+1.8)-d(s)) / 1.8
Ensured Shadow-Contrast criterion: Select s such that gs/gi = 0.64

The constant 0.3 was chosen because shadows occupy the interval [s, s+0.3], which are zones II and III. The constant 1.8 was chosen because that is the average range of exposure striking the film that contains detail (i.e., not pure white or black in the desired print or scan), after accounting for flare.

The constant 0.64 is critical, as it determines shadow-contrast. I selected the value 0.64 based on a few film strips to match ISO speeds, so this is probably not its ideal value. I suspect that its ideal value for the “first excellent print” will fall between 0.6 and 0.7.

As one can see, the computations for the ESC criterion are easy, and the concept of a ratio of grades is easy to understand. The salient features of this criterion are:
  • It is easy to compute.
  • It is easy to understand.
  • It guarantees adequate shadow-contrast.
  • It provides the correct speed for any contrast in any environment.
  • It avoids overexposure by providing the minimum required exposure.
I should mention that film speed varies with spectrum of light, developer, dilution, and overall contrast (gi). A standard for “box speed” must specify all of these. A standard also should avoid proprietary formulas, so I suggest using the original 1927 formula for D-76 with no dilution, freshly mixed with distilled or DI water, and developed to a gi of 0.58 at 20 degrees C, for a film exposed by CIE standard illuminant D65 (which emulates daylight).

This explains the confirmation bias.

First impression is you are making unsubstantiated claims and assumptions. How is this method different from all the obsolete speed methods that preceded the fractional gradient method? They were all based on sensitometric assumptions related to the film curve and not the psychophysical evaluation of the perception of quality.

I have problems with all three of your problems with the ISO standard, some of your conclusions, and the serious elevation of Zones as a standard.

1681012637473.png
 
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Stephen Benskin
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Meters assumes a 3-1/3 stop drop from middle gray (10x), and my speed-point is at zone II, a 3-stop drop, so that would be 8x instead of 10x.

My speeds are supposedly more accurate than ISO, so they will differ even when contrast is the same, but I think the two will be reasonably close at the ISO CI of 0.615 (my corresponding gi values would be a little higher due to 1.3 range vs 1.8). One advantage of my method is that it gives you the speed to use for your contrast, your developer, your agitation scheme, etc.

Mark

Sorry but that is a misunderstanding of how and why of the ISO speeds. Nelson, Safety Factors in Camera Exposure, "The fractional-gradient speed criterion (and its approximate equivalent, the simpler ΔX speed criterion described in Ref. 12) will continue to be useful as a supplement to the fixed-density speed criterion when an evaluation is desired of the effective picture-taking speeds of films that have been developed to average gradients higher or lower than the proposed standard average gradient."
 
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Stephen Benskin
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View attachment 335292
I was toying with the thought that the familiar charts show how well “average” readings correlate to the 0.3G print studies.

But in my mind I imagined Zone System practice and Nikon matrix metering probably tighten the standard deviation.

Since we can demonstrate that Zone System indexes 2/3 stop towards greater exposure. And since we can assume Nikon matrix metering (when it’s set at the ASA/ISO) would place exposure right where it needs to be…

I imagined the two graphs would look something like this.

Bill, since the Zone System uses a fixed density method, the spread would be similar to the 0.10 fixed vs print judgement speeds chart. Notice how the fixed density doesn't even trend in the same direction as the other three methods.
 
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Bill Burk

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Bill, since the Zone System uses a fixed density method, the spread would be similar to the 0.10 fixed vs print judgement speeds chart. Notice how it doesn't even trend in the same direction as the other three methods.

I always interpreted the original scatter diagrams as showing how badly average meter readings miss the correct exposure.

What makes Zone System special, and similarly Nikon matrix metering… is their intention.

They both accurately place exposure after careful evaluation.

So I think a scatter diagram of these two meter reading evaluation systems would show very little scatter from “the correct exposure for the shot”.
 

albada

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This explains the confirmation bias.

First impression is you are making unsubstantiated claims and assumptions. How is this method different from all the obsolete speed methods that preceded the fractional gradient method? They were all based on sensitometric assumptions related to the film curve and not the psychophysical evaluation of the perception of quality.

I have problems with all three of your problems with the ISO standard, some of your conclusions, and the serious elevation of Zones as a standard.

View attachment 335290

That's what I wanted! I didn't know what older film-speed methods had been used, or even whether they were documented anywhere. So I wondered whether my idea had already been tried and failed. I don't see it in the list you posted. The list includes only methods using threshold, inertia, and fractional gradient. My idea is none of those.

Has my idea been tried before?

What specific objections do you have to my problems with the ISO standard? Isn't a contrast of .615 rather high? And how much hassle is it to use a different contrast without software? Does the ISO standard even have instructions for computing speed with other contrasts? Wasn't Kodak using 1930's and 1940's films for their psychophysical research? Aren't they rather different from today's films? Isn't the ISO standard relying on the 0.3Gbar criterion under the covers? Isn't the location of 0.3G in an area that prints black? AFAIK, all my objections are true.

However, I've been wrong plenty of times before, and I'm willing to be corrected with the details.

Mark
 
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I always interpreted the original scatter diagrams as showing how badly average meter readings miss the correct exposure.

What makes Zone System special, and similarly Nikon matrix metering… is their intention.

They both accurately place exposure after careful evaluation.

So I think a scatter diagram of these two meter reading evaluation systems would show very little scatter from “the correct exposure for the shot”.

We might be talking about two different subjects. The spread charts were used to compare which sensitometric speed method came closest in results to the print judgement speeds. No meters involved.
 

ic-racer

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View attachment 335292
I was toying with the thought that the familiar charts show how well “average” readings correlate to the 0.3G print studies.

But in my mind I imagined Zone System practice and Nikon matrix metering probably tighten the standard deviation.

Since we can demonstrate that Zone System indexes 2/3 stop towards greater exposure. And since we can assume Nikon matrix metering (when it’s set at the ASA/ISO) would place exposure right where it needs to be…

I imagined the two graphs would look something like this.

I was toying with something even bigger than that. The idea of an "observational study" whereby 50 to 200 people bracket exposures with whatever camera they use (built-in exposure only) and send the film to a group here to process and enlarge to 8x10 and scan the prints---making the best print/scan possible for each frame. Including tweaking the scan, because that is what people do. All cameras, all films; whatever people are actually using today.

Then we post the images with blinded exposure information and have a poll.

The original 200 viewers in the 1940s were looking at prints from negatives from slides all on materials no longer available based on meter technology no longer used.
 

ic-racer

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I already have the answer from my own tests of 30 35mm cameras and multiple B&W films:

1) Nikon and other cameras with advanced matrix systems work OK at DX speed with tabular-grain films from ILFORD, KODAK and the other major brands.

2) Old school films (Shanghai, etc) are slower than the box speed in actual use.

3) Full average CDS and selenium meter cameras under expose most of the time at box speed. Especially if there is any bright area in the meters view.

As Aparat is working on this software, I'm currently building a professional grade camera shutter and exposure tester to better evaluate the camera's contribution to ideal exposure.
 

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I am inching closer and closer to the early alpha version of my app. There's still a lot of work remaining, not the least of which is picking the features for the first release. My plan is to make the first release rather basic, just so I can get a feel for what people like and dislike about it. If I find that there's some interest, I will continuing adding more features. I have no big plans, or anything. I just want to share my work, that's all. It may be that nobody cares, and that's okay with me. Writing this thing has allowed me to learn a lot about analog photography. I am not a sensitometrist, or even a physicist, so I had to learn all of that stuff virtually from scratch.

The feature I just added and consider important is a monochromatic version of plots. A color version looks nice on a screen, but not on a laser-printed page. The one below is inspired partly by Way Beyond Monochrome (the relative log exposure axis is re-scaled to fit a 10 stop range, starting at 0, and partly by the plots made for print publications back in the day. Here's an example of what it may end up looking like:

syntheticShort Monochrome curveFamilyIntro.png
 

aparat

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@ic-racer Sorry, I missed your question yesterday. When you have your device calibrated, you get a very detailed report, including electrical performance and, of course, exposure performance, broken down by individual components and expressed in multiple units. You also get a characteristic curve plotted and other goodies. I cannot speak highly enough of their work. They could have turned me down, as an individual customer, but they took me as seriously as they do their corporate clients. They went above and beyond, to use a cliché. That's rare today.
 

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We might be talking about two different subjects. The spread charts were used to compare which sensitometric speed method came closest in results to the print judgement speeds. No meters involved.

Now I see Fig. 6 a, b, c, d show deviation for how well a speed determination method suits a particular combination of film/development. Zone System tests, for a particular film/developer will scatter in suitability exactly as Fig. 6 (a) - 0.1 speed point method.

Since the layout of the graph is simply a control chart, it's not 'wrong' for me to adapt it to this discussion.

So let's continue...

Take, for example a particularly bad column of the film/developer combination in Fig. 6 (a), column 13. This film shows + 0.4 which means that when you use the film speed that you found in column 13, you are going to give the film 0.4 (a stop and a third) more exposure than it would need for an excellent print.

My fake chart is a hypothesis showing what we might find if we study deviations in exposure that occur for a specific film/development combination when using an exposure meter with deliberation.

I suggest that the Zone System will always aim towards (demonstrably 2/3 stop) greater exposure than the least excellent exposure with a tight scattering, having very little deviation (0.021 standard deviation is a placeholder estimate).

The photographer practicing Zone System using the film/developer combination of Fig. 6 (a), column 13 would give 2/3 greater exposure still over top of the already +0.4 ! Hence, for any particular working day, that photographer will give 2 stops greater exposure.

But I think the photographer's selected exposure will be remarkably consistent, each sheet that day will receive 2 stops greater exposure than the least required. This would be because they carefully evaluate parts of the scene and place them where they want them.

Likewise, I think evaluative metering systems such as Nikon matrix metering, will always skew to a tight scattering (0.012 standard deviation is a placeholder estimate). at the least excellent exposure.
 

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My backup DIY plan for a sensitometer (if something goes wrong with the EG&G that I can’t fix) is to cobble together an H&D sector wheel (pictured in Mees - I got it from Mark Osterman) with an old 8mm projector.
You mean something along these lines? That would be an awesome project.
sensitometerDisk.jpg

sensitometerDiagram.jpg
 

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Fig. 9.6 is what I have, about the size of an LP record. I don’t have room for the famous type IIB in the other picture.
 

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My Wejex Sensitometer uses a rotating shutter.

I got my EG&G in 2007 for $15. In fact, the reason I joined APUG in 2007 was because I imagined there might be people on APUG that would be interested in sensitometry. I think the first thread I posted in 2007 was "Just Got An EG&G..."
Prior to that I used a spare enlarger as a sensitometer.
 
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Fig. 9.6 is what I have, about the size of an LP record. I don’t have room for the famous type IIB in the other picture.

That looks like the same principle as my focal plane shutter speed tester, tester. Each opening 1/2 the size of the next.

speed-disk-makita-2-jpg.325421
 
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The standard is based on films available in the 1930s and 1940s, and many of today’s films are substantially different.

The implication is the fractional gradient method may not be applicable to film emulsions designed after the standard was developed. This is possible, but not probable. The statement suggests no one was aware of how the characteristics of new emulsions worked in relation to the fractional gradient method. For this to be true, no subsequent film testing could have occurred over the last 80 years since the original First Excellent Print Test was performed or if there was testing, the standard was never updated when testing indicated a necessity. Both strain credulity.

Clearly, new emulsions are extensively tested during the creation process and prior to marketing. Standards are reviewed every 5 years. Any problems or advancements that crop up in the interim would be considered and reflected in a revision of the standard, as with the 1960 and 1993 film speed standards for black and white negative films.

My understanding is the 1993 revision came about because films with T-grain technology, using the developer stated in the standard, didn’t produce speeds equivalent to commercially available developers such as the ones utilized when creating the new emulsions. The standard didn’t accurately reflect real world use with T-grain films, so the standard was adjusted. Other updates were also made to better reflect real world use. The value for ΔD may have been refined from 0.80 +/- 0.05 to 0.80 in for the 1993 standard or maybe for a previous one. I’m not sure.

One of the reasons for the 1960 revision was to reduce a safety factor that was no longer necessary as technology allowed for tighter controls. The statement about the standard being based on films available in the 1930s and 40s is similar to one made by Lloyd Varden in ASA Exposure Index: Dangerously Safe. Varden argued the safety factor described in the standard pushed the exposure proportionally higher on the curves of short-toe films than medium and long toe films. An important distinction is the safety factor actually is part of the ASA EI rating and not the fractional gradient film speed. Varden proposed reduction of the safety factor. The 1960 standard did reduce the safety factor. Your proposal appears to effectively reinstate it to some degree.

Another reason for the revision was to simplify the method of determining the fractional gradient speed as the current method was laborious and tended to introduce experimental errors. C.N. Nelson and J.L Simonds devised two methods as described in their 1956 paper for the Journal of the Optical Society of America, Simple Methods for Approximating the Fractional Gradient Speeds of Photographic Materials. One of which, the Delta-X Criterion, became the method for the new standard. Concerning the films used in the analysis of Delta-X, Nelson and Simonds write, “The relation between ΔD and ΔX was, therefore, measured for the forty D-log E curves of the negative materials used in the original derivation of the 0.3G fractional gradient speed criterion. The results are shown in Fig. 10(a). Similar measurements were carried out for a number of current films in several different developers. The values are given in Fig. 10(b).”

1681586860351.png


Research into the photographic process has continued to progress past the early 1940s. The tone reproduction curve in the tone reproduction diagram compares the original subject to the finished print which can also include the viewing conditions. The objectively produced curve can be interpreted to determine print quality from tone reproduction characteristics. In fact, the degree in which extensive studies have been done make it possible to predict the level of perceived quality simply by evaluating certain curve attributes effectively eliminating the need for judges and allowing for a multitude of hypothetical situations of film / paper combinations.

The following is an excerpt from the paper, Simonds, J.L., Factors Affecting the Quality of Black-and-White Reflection Prints, The Journal of Photographic Science, Vol. 11, 1963. p. 27-30, which represent some of the results from testing 18,000 variations.

1681587003529.png


“Consider two negative films with D-log E curves as shown in Fig 3. Film A has a curve with a short toe; Film B has a curve with a long toe. The density ranges of properly exposed negatives on both films however, would be similar, permitting printing both negatives on the same contrast grade of paper."

1681587093350.png


"Fig 4 is a plot of print quality as a function of log-camera exposure for the two films. In plotting the curves, it is assumed that, for every negative exposure given, the optimum choice of paper-contrast grade and printing exposure has been made. The abscissa represents the log exposure of the darkest significant element in the scene.

Both curves reach the maximum quality level of 100 per cent. It can be seen, however, that the long-toe Film B is capable of producing prints of highest quality over a greater range of camera exposures than the short-toe Film A. To achieve optimum quality with the short-toe film requires a critical choice of slight under-exposure and subsequent printing on a high-contrast grade of print material. With extreme over-exposure, however, the long-toe film results in negatives with an excessively high density range which available print materials cannot accommodate; hence, a loss in print quality results. The short-toe film shows a superiority in this over-exposure region.

The curves of Fig 4 assume studio photography in which the flare light in the camera image is at a minimum. In outdoor photographs, flare light degrades the camera image of scenes containing large, bright areas of sky, sand, or water. Fig 5 shows the effect of adding a normal amount of flare light in the photography of an outdoor scene with Film A, the short-toe film. The dashed curve is the effective characteristic curve in the presence of the flare light. The effect has been to convert the short-toe film into a long-toe film. In that case, the curve of quality versus log-camera exposure for Film A would be more nearly like that given for the long-toe Film B. The effect of camera flare on Film B would be to give it an even longer toe, creating an excessively flat negative which a normal amount of camera flare is present. It must be pointed out, however, that the differences in print quality obtainable from the dissimilar films are slight. Only when other factors in the reproduction system are optimized will the inherent quality differences became apparent to the experienced observer.”

From the same paper. Something to consider.

“The results obtained from the digital studies are in excellent agreement with accumulated experimental evidence. The new data are unique in that they provide quantitative relationships in place of the qualitative relationships that have been deduced from past studied. The use of high-speed computers makes feasible the investigation of the quality attributes of a great number and variety of photographic systems. A recent evaluation of the photographic quality represented by 18,000 variations in reproduction involved approximately three hour of computing time on an IBM-705 computer; a similar investigation by direct psychophysical methods in the laboratory would be prohibitively expensive and laborious.

The data from many such computations strikingly point out an important consideration when direct visual comparisons are being made of the quality of prints obtained from different negative materials; small, but subjectively significant, quality differences can be realized by changing the D-log E characteristics of the negative material; but these small quality difference can only be appreciated when the levels of all the other variables of the reproduction system are carefully controlled. The importance of optimizing the printing conditions cannot be emphasized too strongly when comparisons are being made of prints made from different negative materials. Even a slight error in print exposure can obscure a potential quality improvement offered by a negative material with an improved D-log E curve shape. Examination of the data of these studies has emphasized the fact that a valid comparison of the relative merits of two films requires extreme care and accuracy on the part of the technician preparing the demonstration prints.”

Makes me wonder about the conclusions and general observations photographers make concerning the qualities of a given film in a given developer or about one emulsion vs another.
 
Last edited:

aparat

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@albada I am sorry to comment so late. I think you already got excellent feedback from @Stephen Benskin who made very nuanced and insightful comments, as usual. I want to add just a small detail, if I may.

To me, your proposal is very interesting as a method of estimating exposure, particularly for a photographer already well-versed in the Zone System and wanting to capture a lot of shadow detail. Moving the speed point up the curve has been shown to be a useful strategy. I've seen other photographers subscribe to this kind of idea, as well.

When we talk about the characteristic curve gradient, especially anywhere in the toe region, we should probably be careful not to conflate it with the notion of a linear slope. As I tried to show earlier in the thread, the characteristic curve cannot be accounted for by a simple linear model.

In the 1940s, the typical mathematical model of the characteristic curve included a toe (non-linear and highly variable), a straight line (linear), and a shoulder (non-linear). The shoulder was often disregarded for the purposes of calculating film speed and other parameters, so, effectively, you had the toe and the straight-line portion. The gradient of the former could not be described by a linear relationship, but the gradient of the latter could, at least that seems to have been the common theory at the time. That's what we see, I think, in Jones's definition of fractional gradient speed. The average gradient, , is a simple linear slope ("a straight line drawn between the two points"), but the fractional gradient was derived (pun not intended) from the angle of the line tangent to the curve. The advantage of this approach is that it does not need to make any specific assumptions about the shape of the toe or the exact nature of the relationship between exposure and density in that region. This is also one of the details that, I think, made the calculation of fractional gradient speed difficult in the 1940s, especially with more "noisy" data. And, finally, I also believe that any definition of a useful gradient, and, hence, the speed point, should made in the context of the entire reproduction chain, including, minimally, suitable definitions of a normal luminance range, normal flare light, a safety factor, and the final presentation medium characteristics (e.g., paper contrast). This is why I find Jones's work so insightful. He put stuff in context.
 

Craig

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When Jones was doing the "First Excellent Print" tests, what were the photographs of? Was it test charts, like a Kodak grey scale, or was was it real subjects like landscapes and portraits? I'm just curious what those viewers were observing and if that would have affected their reactions.
 
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