Geodesic
Mathematical modeling for one method of ultrasound computed tomography
Matematičeskoe modelirovanie, Tome 4 (1992) no. 7, pp. 95-106 Cet article a éte moissonné depuis la source Math-Net.Ru

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One method of the ultrasound computed tomography, proposed by A. A. Timonov, is considered. The mathematical model of this method bases on the ray's approximation of acoustics and it is valid for a slowly varying medium and high-frequency incident waves. The reconstruction regularized algorithm is constructed. Numerical experiments with this model and algorithm are implemented. Application of the method to medical diagnostics of mammae is also discussed. 
@article{MM_1992_4_7_a5,
     author = {A. A. Timonov and A. A. Egorushkin and S. G. Chubukova},
     title = {Mathematical modeling for one method of ultrasound computed tomography},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {95--106},
     year = {1992},
     volume = {4},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1992_4_7_a5/}
}
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A. A. Timonov; A. A. Egorushkin; S. G. Chubukova. Mathematical modeling for one method of ultrasound computed tomography. Matematičeskoe modelirovanie, Tome 4 (1992) no. 7, pp. 95-106. http://geodesic.mathdoc.fr/item/MM_1992_4_7_a5/