Reconstruction of 2-tensor fields, given in a unit circle, by their ray transforms based on LSM with B-splines

Author:

Svetov I. E.,Polyakova A. P.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference12 articles.

1. Romanov, V.G., Obratnye zadachi matematicheskoi fiziki (Inverse Problems of Mathematical Physics), Moscow: Nauka, 1984.

2. Romanov, V.G., Integral Geometry on Geodesics of the Isotropic Riemann Metrix, Dokl. Ak. Nauk SSSR, 1978, vol. 241, no. 2, pp. 290–293.

3. Sharafutdinov, V.A., Integral Geometry of Tensor Fields, Utrecht: VSP, 1994.

4. Derevtsov, E.Yu., Kleshchev, A.G., and Sharafutdinov, V.A., Numerical Solution of the Emission 2DTomography Problem for a Medium with Absorption and Refraction, J. Inv. Ill-Posed Probl., 1999, vol. 7, no. 1, pp. 83–103.

5. Derevtsov, E.Yu., Svetov, I.E., and Volkov, Yu.S., Application of B-Splines in the Problem of Emission 2DTomography in a RefractiveMedium, Sib. Zh. Industr. Mat., 2008, vol. 11, no. 3(35), pp. 45–60.

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