Hi Harry,
Deconvolution doesn't seem a good choice for this image. I may be wrong, but I don't think you have enough signal to deconvolve here.
The ATrousWaveletTransform tool seems much more appropriate. However, to apply this tool you must be very careful to avoid noise intensification and ringing artifacts. I strongly recommend you to apply wavelets when the image is still linear, which basically implies reprocessing from scratch.
This tutorial shows you many important things about ATrousWaveletTransform:
http://pixinsight.com/examples/wavelets/NGC7000/en.htmlYou can go directly to Step 3: Detail Enhancement with Wavelets. Note that while I used the StarMask tool to generate a star mask for this image, a much simpler and also powerful mask generation strategy can be implemented with wavelets. For example, this tutorial by Carlos Sonnenstein:
http://pixinsight.com/tmp/m45/en_tutorial_m45.htmshows you a very effective technique to build star masks. Skip to the section about "Morphological Transformations", more or less at the middle of the document, and you'll find it described there. I still have to edit this tutorial and include it in the website's official tutorials section (sorry Carlos!
) )...
Hope this helps.