Geodesic
Determination of distances to virtual source from dynamical boundary data
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 41, Tome 393 (2011), pp. 29-45

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In the paper, we show that the dynamical boundary data (the response operator), which correspond to the measurements at the boundary of a Riemannian manifold, do determine the distances (wave travel times) from the boundary points to an interior source with a given semi-geodesic coordinates. The procedure, which determines these distances, is in principle available for numerical realization. 
@article{ZNSL_2011_393_a3,
     author = {M. I. Belishev},
     title = {Determination of distances to virtual source from dynamical boundary data},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {29--45},
     publisher = {mathdoc},
     volume = {393},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_393_a3/}
}
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M. I. Belishev. Determination of distances to virtual source from dynamical boundary data. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 41, Tome 393 (2011), pp. 29-45. http://geodesic.mathdoc.fr/item/ZNSL_2011_393_a3/