I have an update on the problem of the concentric rings. After much experimentation, the tentative conclusions I have reached are these:
- The rings are caused by a scaling applied to the raw digital data of the red and the blue channels (but not the green)
- The scaling is some kind of fixed functional form that is applied to the red and blue channels even when vignetting corrections are switched off. It occurs with and without a recognised lens attached. It occurs even when directly illuminating he sensor with diffuse light, with no optics attached
- The main effect in the blue channel is to dim the corners (or brighten the centre) by a factor of around 1.03
- The main effect in the red channel is to brighten the corners (or dim the centre) by a factor of around 1.01
- For the avoidance of any doubt this scaling is in addition to the red and blue white pre-conditioning of approx 1.18 which causes the well-known histogram gaps
- My conjecture is that the purpose of the correction is to fix colour cast issues towards the corners of the sensor.
The problems associated with applying any kind of scaling to digital data is well known. The data can only be shifted by integer increments and this causes "steps" to form in the resulting data values. It is these steps in the data that lead to the rings we are seeing.
Having understood the cause, it was quite easy to reproduce the effect in a "real world" photo.
Here's a photo taken 4 stops underexposed at ISO 100, opened in Photoshop and pushed 4 stops in post-processing:
This is what happens if I stretch the image by crazy amounts in Photoshop:
You can see the rings in the sky. If I open the raw data file in PixInsight and divide the (bias subtracted) blue channel by the (bias subtracted) green channel then stretch, this is the result:
I don't think you will ever notice this effect in daytime photography without extreme stretching and/or haze removal because the step size causing the rings is exactly one digital unit and this is normally masked by image detail and/or image noise. The problem for astrophotographers is that we stack together lots of images which reduces the image noise down to a level where the steps can become visible in featureless areas of background after applying flats and subtracting light pollution.
For daytime photographers, it is clearly a benefit that the camera will fix corner colour casts. But this is another example of where the needs of daytime photographers and astrophotographers can conflict.
Mark
Edited by sharkmelley, 21 September 2019 - 02:13 AM.