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Im comparing PET scans and MRI scans and Ive noticed that MRI

s spatial resolution is 0.3-1mm while PET scans have a spatial resolution much larger, around 5-7mm.

I was just wondering how these figures are calculated. Ive looked up some formulae and all I could find was wikipedia, with a formula for telescopes. In particular I need a formula which will make this work in PET and MRI calculations.

What I can't get my head around is that PET use gamma rays which have a shorter wavelength, which it would logically seem would produce more detail (a smaller/better spatial resolution) than the radio waves MRI uses (larger wavelength).

Is there something Im missing here?

Thanks