How much loss is acceptable in the reconstruction?

I'd imagine the reconstructed minds would be happier with their own fidelity than the deconstructed minds. And that the reconstructor might trade off some fidelity for utility towards whatever purpose they had in doing the reconstruction.

I see http://lesswrong.com/lw/b93/brain_preservation/ and http://lesswrong.com/lw/bg0/cryonics_without_freezers_resurrection/ -- are there other good discussions?

The gap between creating a working mind and producing an exact reconstruction seems large.