Reconstruction of the Metric of a Riemannian Manifold from Local Boundary Diffraction Travel Times
نویسندگان
چکیده
We consider a Riemannian manifold, (M, g), of dimension n with boundary ∂M . We analyze the inverse problem, originally formulated by Dix [4], of reconstructing g from boundary measurements associated with the single scattering of seismic waves on this manifold. The measurements determine the shape operator on the boundary. We develop an explicit reconstruction procedure involving the solution of certain Jacobi equations. We admit the presence of conjugate points.
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تاریخ انتشار 2011