Is there some built-in way, or with additional packages, to fill regions in a TikZ figure with what printers call "halftone screens" (which are typically described in terms of percentages, and are formed from dots of varying sizes, or sometimes meshes of lines of varying width or density)?
For example, to obtain something like the following, which has two different percentage screens used:
Note that in the above figure the halftone screens are not reproducing very faithfully, as a result of degradation mainly to (i) a pdf scan of the original, printed, image, but also (ii) capturing that image on-screen from the pdf and then exporting it.

