I did more experiments.
Here is my observation:
- they do seem real, because if I look at the original image, I can see dark patch here and there, and they correspond the patchy background after TGV well.
- I can improve background, but I can not get very flat background.
- I compare TGV and Atrous noise reduction. Atrous background is flatter, but it does show the similar pattern, and more details get lost. On the other hand, TGV preserve more details with similar (if not better) noise reduction, but background looks patchy.
So it looks like TGV does real good job. The issue could be with the image itself.
Is it common that CCD or DSLR has uneven background? Will dithering help in this case?