I can see how a Moire pattern could explain this.
What I can not see is how the pattern of the stars have anything to do with a moire pattern effect, as a star pattern is far from uniform, where this effect is. Is there some other element other than the stars here, like gama radiation, magnetism or something else that could cause the cosmic dust to form a real pattern that could cause this?
The stars are of course, not uniform. I enclosed the word 'pattern' in quotes when referring to the stars for that reason. However, there's enough of them that the distribution of stars over almost any sized square of the image is pretty uniform. The unevenness of the stars in the image actually evinces the idea of it being a Moire pattern, because it explains why the pattern itself is not uniform over the extents of the image.
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It could actually be downsampling, so I'd like to find the original images. It is less likely downsampling with Tiff's, however.
Depends on the method used. There are a few methods of downsampling which could produce a Moire pattern.
After looking up some specs on the telescope's mirrors, I'm starting to think this might be an equally viable or more viable explanation. The mirrors are polished to 1/10th the wavelength of visible light, meaning they should not contribute to a Moire pattern in any image taken using visible light. However, if this is a composite image including infrared (which the Hubble is notoriously bad at, but not incapable of as far as I know) then my initial guess might be right.
I'm as close to 100% certain that it is a Moire pattern as I can be, though. It is exactly what I'd expect to see from one in which one of the contributing 'patterns' is something as random, yet uniform as the distribution of stars in this picture.
Alternately, one of the contributing factors might be reflected light from the Earth, Moon or some part of the telescope itself. It does seem to emanate from the middle right of the image to a certain degree, and many objects can produce a pattern in the light they reflect, thanks to texture or interference patterns.
EDIT: I've thought of something that lends more credence to your idea about it being a product of downsampling. A few years ago, I got a hold of some software used to display wideband (infrared, visible band and ultraviolet) images, and some images to go along with them. The software, though very high end, had no export feature. The only way to export the images into a more common format was to zoom extents and take a screen capture (or zoom in and take multiple captures to splice back together). I remember noticing that one zoomed out image had a Moire pattern in the part of it which displayed a chain link fence. I think it's quite likely that the raw Hubble images might have 5 or more channels per pixel, which might indicate that the images you're working with could have been produced the way I just described.