You can't. What I do is copy the .ahx files from where AHP keeps them to separate media so if for example the PC dies all the files are saved. My media also has my registration code and all the versions of AHP. My old computer died so when I bought the new HP PC I had AHP up and running before any other software.
Exactly.
In this case, the OP stated that they DID NOT have backups of their AHX file.
Your advice is really good, and I strongly suggest that going forward this user back up their AHX file(s) to separate media, but that doesn't help them with their current problem.
There may be another option to restore the AHX file, though.
It might be possible to restore the image to a VIRTUAL PC (VMware, MS VirtualPC, etc), that is set up with the matching architecture of the original computer. I'm no expert in virtual computing, but from the little bit I know, it might be worth a try.