# Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times

@article{Hoop2012RecoveringTI,
title={Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times},
author={M. D. Hoop and Sean F. Holman and E. Iversen and M. Lassas and B. Ursin},
journal={arXiv: Analysis of PDEs},
year={2012}
}
We analyze the inverse problem, originally formulated by Dix in geophysics, of reconstructing the wave speed inside a domain from boundary measurements associated with the single scattering of seismic waves. We consider a domain $\tilde M$ with a varying and possibly anisotropic wave speed which we model as a Riemannian metric $g$. For our data, we assume that $\tilde M$ contains a dense set of point scatterers and that in a subset $U\subset \tilde M$, modeling a region containing measurement… Expand
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