Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SJIM_2008_11_3_a11,
author = {O. E. Trofimov and A. V. Likhachev},
title = {{\CYRS}{\cyrr}{\cyra}{\cyrv}{\cyrn}{\cyre}{\cyrn}{\cyri}{\cyre} {\cyrn}{\cyre}{\cyrk}{\cyro}{\cyrt}{\cyro}{\cyrr}{\cyrery}{\cyrh} {\cyra}{\cyrl}{\cyrg}{\cyro}{\cyrr}{\cyri}{\cyrt}{\cyrm}{\cyro}{\cyrv} {\cyrt}{\cyro}{\cyrm}{\cyro}{\cyrg}{\cyrr}{\cyra}{\cyrf}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyro}{\cyrishrt} {\cyrr}{\cyre}{\cyrk}{\cyro}{\cyrn}{\cyrs}{\cyrt}{\cyrr}{\cyru}{\cyrk}{\cyrc}{\cyri}{\cyri} {\cyrv}~{\cyrk}{\cyro}{\cyrn}{\cyru}{\cyrs}{\cyre} {\cyrl}{\cyru}{\cyrch}{\cyre}{\cyrishrt}},
journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
pages = {126--134},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a11/}
}
TY - JOUR AU - O. E. Trofimov AU - A. V. Likhachev TI - Сравнение некоторых алгоритмов томографической реконструкции в~конусе лучей JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2008 SP - 126 EP - 134 VL - 11 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a11/ LA - ru ID - SJIM_2008_11_3_a11 ER -
%0 Journal Article %A O. E. Trofimov %A A. V. Likhachev %T Сравнение некоторых алгоритмов томографической реконструкции в~конусе лучей %J Sibirskij žurnal industrialʹnoj matematiki %D 2008 %P 126-134 %V 11 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a11/ %G ru %F SJIM_2008_11_3_a11
O. E. Trofimov; A. V. Likhachev. Сравнение некоторых алгоритмов томографической реконструкции в~конусе лучей. Sibirskij žurnal industrialʹnoj matematiki, Tome 11 (2008) no. 3, pp. 126-134. http://geodesic.mathdoc.fr/item/SJIM_2008_11_3_a11/
[1] Khermen G. T., Vosstanovlenie izobrazhenii po proektsiyam. Osnovy rekonstruktivnoi tomografii, Mir, M., 1983 | MR
[2] Tikhonov A. N., Arsenin V. Ya., Timonov A. A., Matematicheskie zadachi kompyuternoi tomografii, Nauka, M., 1987 | MR | Zbl
[3] Natterer F., Matematicheskie aspekty kompyuternoi tomografii, Mir, M., 1990 | MR | Zbl
[4] Pikalov V. V., Melnikova T. S., Tomografiya plazmy, Nauka, Novosibirsk, 1995
[5] Lavrentev M. M., Zerkal S. M., Trofimov O. E., Chislennoe modelirovanie v tomografii i uslovno-korrektnye zadachi, Izd-vo IDMI NGU, Novosibirsk, 1999
[6] Tuy H. K., “An inversion formula for cone-beam reconstruction”, SIAM J. Appl. Math., 43:3 (1983), 546–552 | DOI | MR
[7] Smith B. D., “Image reconstruction from cone-beam projections: necessary and sufficient conditions and reconstruction methods”, IEEE Trans. Med. Image., 4:1 (1985), 14–25 | DOI
[8] Grangeat P., “Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform”, Mathematical Methods in Tomography, Springer-Verl., Berlin, 1991, 66–97 | MR
[9] Smith B. D., “Cone-beam tomography: recent advances and tutorial review”, Opt. Engrg., 29:5 (1990), 524–534 | DOI
[10] Trofimov O. E., “K zadache vosstanovleniya funktsii trekh peremennykh po ee integralam vdol pryamykh, peresekayuschikh zadannuyu krivuyu”, Avtometriya, 27:2 (1991), 55–61 | MR
[11] Trofimov O. E., “Cone beam reconstruction and fourier transform of distributions”, Lecture Notes in Comput. Sci., 719, 1993, 564–571
[12] Kirillov A. A., “Ob odnoi probleme I. M. Gelfanda”, Dokl. AN SSSR, 137:2 (1961), 276–277 | MR
[13] Feldkamp L. A., Davis L. C., Kress J. W., “Practical cone-beam algorithm”, J. Opt. Soc. Amer. A, 1:6 (1984), 612–619 | DOI
[14] Likhachov A. V., Shaposhnikova E. V., Trofimov O. E., “On the differentiation and integration of ray transform on the unite sphere”, Proc. 2 IASTED Internat. Multi-Conference on Automation, Control, and Information Technology, ACTA Press, Novosibirsk, 2005, 290–295
[15] Likhachëv A. V., “Sravnenie algoritma Feldkampa s algoritmom sinteza Fure dlya trekhmernoi tomografii”, Avtometriya, 42:1 (2006), 88–101