Heh, I did an NMR experiment in senior lab back in school (1995 senior lab) and had forgotten that this is precisely how MRI works (the resonance should have given it away). I wish I had my old lab book (only had a paper copy) to review the experiment now, it's fogging out big time from my memory.
Not sure if it's true, but my prof in college told us that the reason the name was changed was because of the negative connotation of the word "nuclear". Otherwise it's exactly the same technology as NMR.