Journal of Inverse and Ill-Posed Problems, Volume 16, Issue 5, 2008.
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In this paper, Dukhovich considers the problem of reconstructing a compact Riemannian manifold from the scattering data on its boundary. He establishes a stability estimate for the reconstruction of the manifold from the scattering data and proposes a method for the reconstruction. vladislav dukhovich
If you'd like to access the paper, I can try to provide you with a link or a citation. Please let me know! Journal of Inverse and Ill-Posed Problems, Volume 16,
Dukhovich, V. (2008). On the reconstruction of a compact Riemannian manifold from the scattering data on its boundary. Journal of Inverse and Ill-Posed Problems, 16(5), 437-453. Journal of Inverse and Ill-Posed Problems