Determination of Discontinuities of a Function in a Domain with Refraction from Its Attenuated Ray Transform

Author:

Derevtsov E. Yu.,Maltseva S. V.,Svetov I. E.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Reference19 articles.

1. E. Yu. Derevtsov, A. G. Kleshchev, and V. A. Sharafutdinov, “Numerical Solution of the Emission 2DTomography Problem for a Medium with Absorption and Refraction,” J. Inverse and Ill-Posed Problems (1999) 7 (1), 83–103.

2. E. Yu. Derevtsov, I. E. Svetov, Yu. S. Volkov, and T. Schuster, “Numerical B-Spline Solution of Emission and Vector 2D-Tomography Problems for Media with Absorbtion and Refraction,” in Proceedings of 2008 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering SIBIRCON-08 (Novosibirsk, 2008), pp. 212–217.

3. I. E. Svetov, E. Yu. Derevtsov, Yu. S. Volkov, and T. Schuster, “A Numerical Solver Based on B-Splines for 2D Vector Field Tomography in a Refracting Medium,” Math. Comput. Simulation 97, 207–223 (2014).

4. E. Yu. Derevtsov, “Some Approaches to the Reconstruction of a Singular Support of Scalar, Vector, and Tensor Fields by Their Known Tomographic Data,” Sibir. Elektron. Mat. Izv. 5, 632–646 (2008).

5. I. M. Gel’fand, M. I. Graev, and N. Ya. Vilenkon, Integral Geometry and Related Problems of Theory of Representations. Generalized Functions, Vol. 5 (Fizmatgiz, Moscow, 1962) [in Russian].

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