x-ray said:
Look at film and you will see it is not a linear capture like digital capture is. Yes digital in the linear mode is a real linear capture.
I don't want to say you're wrong here, but there's definitely confusion! Analog is linear in log-space, while digital is linear in linear space!
Let's define some words and do some math:
- intensity (light) is a value linearly related to the amount of light (photons, if you want). E.g. if you open a lens 1 stop, the amount of light hitting the film is doubled, so the intensity is times two. Note: definition is not ok, since I also take an increase of exposure time in account, so really look at this as 'amount of light'
- density (film) is the logarithm (base 10) of the intensity of back-light divided by the intensity of transmitted ligth
- raw pixel value (digital) is the pixel value as you find it in a (16 bit?) raw output from your digital camera
Now, let's have a look at the film behaviour. The characteristic curve is described as such:
- horizontal axis = logarithm of intensity (amount of light hitting the film)
- vertical axis = density
- behaviour = as x-ray describes; linear in the middle, and a toe and shoulder at the extreme low/high intensity area's; the slope is [\], meaning you have a negative image
Then let's look at digital film behaviour. The workings of a detector are indeed linear, and could be put in a graph as such:
- horizontal axis = intensity (no logarithm!!)
- vertical axis = pixel value
- behaviour: linear through the whole range, meaning that at some point (highest pixel value reached), the pixel is 'burnt' by even higher exposures; the slope is [/], so you have a positive image
So already here we can state that both systems behave linearly, at least in some part of the 'dynamic range', but the variables that behave linearly are quite different, so actually, there's nothing to compare!
This difference points out the main handicap of the digital system, if you know that the eye's sensitivity is also log-based (we perceive an duplication of light intensity equally along the intensity range, while duplication a low intensity adds much less 'amount of light' than duplication of a high intensity). The anolog (film) system matches this nicely, but if you look at the digital system, the difference between pixel values 60000 and 60010 in your image is invisible (a fraction of a stop in photographic terms), while the difference between pixel values 10 and 20 is much more visible (1 stop)... So on the one end of the scale, values are wasted to store invisible intensity differences, while on the other end there are not enough values available to store even the visible intensity differences.
There's much more to say about this, but it's an ever recurring problem that people are talking about math and forget to clearly identify the variables and their proper definitions, leading to wishful or wrong conclusions.
Groeten,
Vic