Geodesic
Reqularization problems in three-dimensional ray tomography
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 298-303

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The connections between the Tikhonov's regularization, the statistical regularization and the potential theory are considered. It is demonstrated that the use of the Tikhonov's regularization leads to such a form of correlation operators that may be interpreted as potentials by Coulomb or Yukawa. It is given the physical interpretation of the ray interaction as “charged” strings with corresponding potentials. 
@article{ZNSL_1999_257_a16,
     author = {V. N. Troyan and G. A. Ryzhikov},
     title = {Reqularization problems in three-dimensional ray tomography},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {298--303},
     publisher = {mathdoc},
     volume = {257},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a16/}
}
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V. N. Troyan; G. A. Ryzhikov. Reqularization problems in three-dimensional ray tomography. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 298-303. http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a16/