Geodesic
Fast variant of K-method with universal adjustable scheme of scanning for problems of view of sight tomography on tokamaks
Matematičeskoe modelirovanie, Tome 25 (2013) no. 6, pp. 15-31

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

Fast variant of K-method with universal adjustable Scheme of Scanning (SS) in View of Sights (VOS) computer tomography (inverse 3D Radon problem) for problems of plasma diagnostics on tokamaks is proposed. Universality of SS means the possibility of arbitrary disposition of detectors and collimators. Adjustability of SS means that any number of detectors can be switched off. This allows optimize SS on projection phase and also to save real date at the presence of defective detectors. Acceleration of algorithm is due to beforehand calculation of wavelet SLAE (System of Linear Algebraic Equations) inverse matrix (don’t mix with initial Radon SLAE) and using of waveletgaussians tables. Acceleration of algorithm is approximately 200 times that enables the possibility of calculations «in real time» ($\sim 3\mu\mathrm{s}$ / variant) on parallel architecture type of «CUDA».
Mots-clés : ADP (anisotropy of plasma diffusion), inverse, Fourier, tokamak
Keywords: (robustness, complexity, accuracy, stability) of algorithm, (direct, ill posed) problem (Radon), ideology of (Bayes, Simpson, Fisher, Quasi Wavelet Analysis), scanning scheme (fan, parallel, universal), few VOS tomography (VOS — Views of sight). 
@article{MM_2013_25_6_a1,
     author = {A. V. Khovanskiy},
     title = {Fast variant of {K-method} with universal adjustable scheme of scanning for problems of view of sight tomography on tokamaks},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {15--31},
     publisher = {mathdoc},
     volume = {25},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_6_a1/}
}
TY  - JOUR
AU  - A. V. Khovanskiy
TI  - Fast variant of K-method with universal adjustable scheme of scanning for problems of view of sight tomography on tokamaks
JO  - Matematičeskoe modelirovanie
PY  - 2013
SP  - 15
EP  - 31
VL  - 25
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2013_25_6_a1/
LA  - ru
ID  - MM_2013_25_6_a1
ER  - 
%0 Journal Article
%A A. V. Khovanskiy
%T Fast variant of K-method with universal adjustable scheme of scanning for problems of view of sight tomography on tokamaks
%J Matematičeskoe modelirovanie
%D 2013
%P 15-31
%V 25
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2013_25_6_a1/
%G ru
%F MM_2013_25_6_a1
A. V. Khovanskiy. Fast variant of K-method with universal adjustable scheme of scanning for problems of view of sight tomography on tokamaks. Matematičeskoe modelirovanie, Tome 25 (2013) no. 6, pp. 15-31. http://geodesic.mathdoc.fr/item/MM_2013_25_6_a1/