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There would be significant advantages with a curved sensor in helping reduce or eliminate the effects of field curvature aberrations. This is where the image of a flat object, like say the night sky at infinity focus, is slightly defocused in the corners/edges of the image frame, whilst sharp in the frame centre. If you use less of the glass (stop down the lens), the effect is reduced at the cost of light collection.
A while back I posted an article on curved sensors under development by SONY (I think)
Best
JA
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