Anyone that wants to join in this discussion over a few beers, come to the (there was a url link here which no longer exists)
I'm curious as to what the benefit of curve fitting is over a straight x,y raw data plot. It seem to me, like a lot of talk and effort to draw a pretty curve with little talk about interpreting the results.
Anyone that wants to join in this discussion over a few beers, come to the (there was a url link here which no longer exists)
Maybe you would prefer having lunch at George Eastman house with a table full of real experts!
I was going through Fundamentals of Photographic Theory 2nd edtion since I went to the trouble of pulling it out. In chapter 11, Interpretation of Sensitometric Data under The Determination of Sensitivity on page 210, it reads, "this adoption of inertia speed was based upon the assumption that, for the correct reproduction of tones in the final positive, the scale of luminance in the object must be represented by exposures on the straight line portion of the characteristic curve of the negative. It has been shown recently that this assumption is unwarranted." It also said that because of emulsions and developers at the time of H&D, inertia speeds were independent of processing.
It also said that because of emulsions and developers at the time of H&D, inertia speeds were independent of processing.
And yet other data disagrees. Did they offer any proof?
PE
Maybe you would prefer having lunch at George Eastman house with a table full of real experts!
PE
OK, here is a single fitting function that will work for the toe, linear region and shoulder, and properly approaches asymptotes at both the low and high ranges. The function is:
f(x) = a1*log(1+exp(a2*x+a3))/(a4+log(1+exp(a2*x+a3)))
This is based on my original function for the toe and linear regions, but then modifies the result of that function by a rectangular hyperbolic function to form the shoulder at the larger values.
Here is a fit to Ralph's paper data.
David
... Changing the processing doesn't change the film speed, only the contrast. ...
And yes, the speed does change with processing
Lookout....30 more pages of discussion on the way...
Ralph,
I'd be happy to look at some more data. But, something you can try is to add some fake points at the high density end of your data. Make a guess as to what D-max is and add some points with this value and large log(exp) values for x. Part of the problem here is, I think, that there isn't quite enough data to define the roll-over of the curve. You can also try fixing the value of a1 to your estimate of d-max.
David
David
I don't have to guess on Dmax; it's pretty fixed. Maybe, rather than adding fake points, we can turn 'a1' from a variable to a constant and set it to, let's say, a value of 2.1? That said, what is the function of the other variables?
Ok different developers certainly...Look at the published Kodak chart on developers which influence Speed,
PE
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