(Continued from the previous post.)
Since you are convinced that you have no conceptual error in your proposed procedure, lets look at your calibration procedure -
Back near the top of page 3 of this thread, Jorge and Helen both discuss the UV vs. Visible light readings that they get when reading their step wedges. As Jorge correctly points out, the acetate base of the wedge will should have a higher UV absorbance than Visual, you found this yourself - 0.05 Vis versus 0.10 UV. Helen finds this as well - that's 3 people in agreement! Helen replied, "I've also noticed that the base adds a uniform level of difference between the UV and visual readings (UV density being higher than visual, as Jorge's readings) - but this does not, of course, alter the relative exposure values."
Helen and Jorge are on to something here. Unless the steps in the commercially prepared step wedge have some sort of staining going on or we have something going on with the shape of the processed silver grains in our step wedge that is causing them to vary absorbance as the optical density changes, the UV measurements should be very directly proportional to the visual readings. We do know that there is some variation in measurements between UV, V, R, G, and B channels, but these are usually pretty small (<0.05D). Your step wedge measures low at the high end by more than 2/3 stop (when you take into account the +0.05 bias that the wedge has when measuring the base in the UV.) That's pretty big and you are right to be conerned about it. By comparison, Jorge's says, "... in my densitometer the readings are uniformly higher by about 0.09 units." Since Jorge's densitometer is uniform in it's measurements (a slightly higher bias) his step wedge mesurements will only slightly affect (1/3 stop) his EFS calculations. Your densitometer not only has a bias with the film base, which is expected and perfectly normal, but your densitometer appears to have a proplem with it's linearity, which will most certainly have an effect on Ave G, EFS, and SBR.
So this kind of indicates that your densitometer, despite being calibrated, may have issues with either the calibration or with it's linear response. I suggest that you look into this issue more, as it may resolve the problem with your aforementioned conclusions.
As I beleive Patrick pointed out above, most densitometers are calibrated (for transmission measurements) by measuring a "Zero Point" by taking a measurement with no film or standard in the densitometer and then a "High" calibration point is measured to set the slope of our densitometer's response. The zero point is the intercept and the High point sets the slope that Patrick mentions.
It is the linear response of your densitometer that may be changing as you change channels that may be causing errors in your step wedge measurements. This could be an isue with the response of your densitometer's response or an issue with your calibration standard.
As I mentioned earlier, a friend and I were comparing film density results and we realized that one of our densitometers had linearity issues. It probably means that the problem densitometer either needs some adjustment to its electronics or it needs to have its internal channel filters replaced. We determined this by comparing the linearity of the response of our two densitometers.
I don't believe that you mentioned what kind of standards you are using to calibrate your densitometers. Could you describe your calibration procedure and the type of standards you use? Do you have any standards that you can use to check the linearity of your calibration, i.e. one with other steps on it? If so, could you describe them as well? Also, are your standards new enough that we can be reasonably certain that they have not changed significantly with time?
You say you have a Gretage D-200 and the X-Rite 810. I have not used either of them but I have looked at some info on them found on their manufactuers web sites. The Xrite 810 is designed to do Status M transmission RGB filters. These are designed for use with internegatives that will be printed on color neg paper. This is not the right kind of densitometer for measuring the materials under discussion here. Ideally, you should find a densitometer that uses Status A filters, e.g. the Xrite 811, 820 or 310. Your 810 does not do UV measurements I see.
The Gretag D-200 looks like a very nice machine! It looks like you have to swap out measuring tubes to switch between UV and RGB, right? Looking at the manual for the D-200 II, it looks like to calibrate it you make a reading on the "zero field" of the calibration film and then make a second reading with a high point of about 3.0D and adjust that reading to a value that Gretag has specified for that standard. Do they give individual calibration values for RGB/UV, or just one?
They then say to perform a calibration check by reading the standard again to verify the results. This only confirms that your densitometer can accurately read those two values. But it does not prove that there are not any linearity issues - we can draw many different curves that both pass through two points and they can all hit completely different points both in between those two points as well as beyond that high point. So we need to verify the linearity of your densitmeter.
What I'm wondering is does Gretag give you a standard for each measuring tube, or do they give one standard with a calibration value to be used for each measuring tube. If you only have one value and are applying it to all measuring tubes, that may cause the error that you may be seeing in your calibration as your calibration film is probably not completely neutral across the range of R, G, B, and UV.
This method of calibration also does not allow us to check the linearity of our densitometer either. As I mentioned on page 4, I have a calibration wedge made by X-rite that has 4 calibrated steps on it, and each step has calibratin values in R,G, B, and Visual channels. Originally I had a single piece of what looked like litho film that someone had marked 3.19 onto a piece of tape and affixed it to the film. Now that I have the X-rite calibration standard, and I have demonstrated that my 3.19 film was off by quite a bit. I had to reread all my step wedges because of that error.
As I said, the X-rite film has 4 steps - you calibrate the densitometer with no film for zero, and then use step 3 on the X-rite film for a Hi Cal point, it's around 3.0D. So I calibrate in exactly the same way as you do. But then the film also has 3 other steps, about 0.25D, 1.50, and 3.75 with which I can check the linearity with. One reason I'm interested in how you are calibrating is that each step on the X-rite cal standard has a slightly different value for Visible, R, G, and B channels. For example, on the Hi Cal step:
V=3.01
R=3.04
G=2.99
B=3.01
I have no idea what the UV value of this step is, but I have no reason to beleive that it is equal to any one of the RGBV values (although I suspect that is would be close, but it may be off a fair bit - who can say?).
Note that the R and G channel readings are different by 0.05D. Not far off, but not the same. And these are not based on measurements that I have made with my densitometer, these are the calibration values that the calibration technician at X-rite has hand-written on my standard. So I would expect that unless someone got a really neutral step wedge (which is probably not very likely), we should see a difference between readings in different channels.
So did Gretag supply a standard specifically for the UV channel, and do they have any linearity check standards that you can get to verify the performance of your densitometer?
I strongly suggest that you get one of these calibration standards for your RGBV work. The X-rite transmission standard part nr. 810-68 costs around $40. The reflection plate they offer also has a mid-point spot with which you can check reflection linearity. Check out this page, it lists both reflection and transmission standards suitable for what we are talking about here:
http://www.xrite.com/product_accessories.aspx?Line=17 )
I hope this discussion has given you more things to think about for this subject. Remember that if we have an issue with our calibration, then that will affect all of our results. And it may be key in solving the issue about what channel to use in calibration - BZTS or not.
I understand that you are a professor of language arts and you probably do not have much background in instrumentation. I am an analytical chemist and it have been studying, using, and trouble shooting many different kinds of analytical intrumentation (including densitometers and closely related spectrophotometer) for over 20 years, so I hope you'll take my suggestions seriously.
Kirk