Geodesic
The integro-differential indicator for a~problem of single-beam tomography
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 3-10

Voir la notice de l'article provenant de la source Math-Net.Ru

The article continues the authors' investigations of the problem of X-ray tomography with few radiographic projections (beams). In their previous works, the authors suggested a special integro-differential operators for processing the available information. A new formula for such an operator is proposed. The article contains a theoretical justification of the algorithm and the results of the corresponding numerical experiments.
Keywords: inverse problem, tomography, location, radiation
Mots-clés : transport equation. 
@article{SJIM_2014_17_2_a0,
     author = {D. S. Anikonov and V. G. Nazarov and I. V. Prokhorov},
     title = {The integro-differential indicator for a~problem of single-beam tomography},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--10},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a0/}
}
TY  - JOUR
AU  - D. S. Anikonov
AU  - V. G. Nazarov
AU  - I. V. Prokhorov
TI  - The integro-differential indicator for a~problem of single-beam tomography
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2014
SP  - 3
EP  - 10
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a0/
LA  - ru
ID  - SJIM_2014_17_2_a0
ER  - 
%0 Journal Article
%A D. S. Anikonov
%A V. G. Nazarov
%A I. V. Prokhorov
%T The integro-differential indicator for a~problem of single-beam tomography
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2014
%P 3-10
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a0/
%G ru
%F SJIM_2014_17_2_a0
D. S. Anikonov; V. G. Nazarov; I. V. Prokhorov. The integro-differential indicator for a~problem of single-beam tomography. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 3-10. http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a0/