Marita,
The best solution I know of for removing halftone screen patterns while preserving as much image detail as possible is Focus Magic’s Despeckle Filter <
http://www.focusmagic.com/exampledespeckle.htm>. Focus Magic uses a unique deconvolution algorithm to restore focus to somewhat out-of-focus or motion blurred images, but, as you can see, the deconvolution algorithm has other talents such as extracting detailed image information from halftone dot patterns.
I recommend you have a look at the Focus Magic Tutorials <
http://www.focusmagichelp.com/> and Download Focus Magic 3.0 <
http://www.focusmagic.com/download.htm> for your evaluation.
I, myself, am a satisfied Focus Magic user. I process a lot of images from digital cameras, video camcorders, and film cameras and many of them are somewhat out-of-focus or just slightly out-of-focus or motion blurred because the camera was hand-held, the subject moved, or the auto-focus focused on the wrong thing, so I routinely use Focus Magic to improve the focus a bit.
Focus Magic also does the best job on scanned halftone images of any of the tools I have, including Photoshop and the Descreening option in my scanner software. That’s why I am recommending you have a look at Focus Magic to solve your current problem.
— Burton — (not associated with Focus Magic or Acclaim Software)