Long-awaited mathematics proof could help scan Earth's innards
nature.com
nature.com
In fact, I suspect this sort of proof may be useful to other fields of tomography (eg CT / MRI) beyond UltraSound, if it really improves complete imaging knowing only shortest (eg highest index) paths from the surface. I guess the sparseness helps minimize errors faster than current techniques, although it's not clear to me how that necessarily follows from the mathematical proof.