Originally posted by newarts I think that's not mathematically true but may be practically true.
The lower limit of camera DR is usually due to noise sources other than from the image itself. If this noise is consistent in its properties (its characteristics don't change from exposure to exposure), a correction may be possible.
But most likely not practical.
Iowa Dave
This correction is called dark frame subtraction.
Basically the workflow is:
1) Shoot n images of the scene (the bigger n, the better)
2)Shoot n images with the lens cover on (and possibly even covered with a dark bag or similar to avoid any light reaching the sensor). These images have to be shot using exactly the same settings.
3) Average the images of the scene, thus getting rid of any random noise (provided the number n is large enough).
4) Average the images shot with lens cover on. This results in a dark frame that consists of only the noise that is exactly the same in every image (noise from sensor readout electronics, faulty pixels etc.).
5) Subtract the dark frame from the average image of the scene, thus getting rid of any systematic noise also.
And the result is a very clean image.
This system is very common in webcam astronomy, where cheap webcams are attached to telescopes to record a video clip which is later processed as I decribed. Registax is one software that can handle these clips sometimes consisting of thousands of frames (webcams have lots of noise ...) that need to be aligned correctly, bad frames (blurry because of atmosphere turbulence etc.) need to be removed and so on.