Geodesic
An application of Radon inversion to diffraction tomography
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 264-277

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Basic equations of linear computer tomography are considered; a connection of the mathermatical formulation of problems of computer tomography with problems of integral geometry is indicated; the properties of the Radon transform for even- and odd-dimensional spaces are analyzed, and applications of Radon inversion to problems of diffraction tomography are presented. Bibl. 5 titles. 
@article{ZNSL_1995_230_a18,
     author = {V. N. Troyan and G. A. Ryzhikov},
     title = {An application of {Radon} inversion to diffraction tomography},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {264--277},
     publisher = {mathdoc},
     volume = {230},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a18/}
}
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V. N. Troyan; G. A. Ryzhikov. An application of Radon inversion to diffraction tomography. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 264-277. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a18/