Fast variant of K-method with universal adjustable scheme of scanning for problems of view of sight tomography on tokamaks

A. V. Khovanskiy

Troitsk Institute for Innovation and Fusion Research

Abstract: 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».

Keywords: ADP (anisotropy of plasma diffusion), (robustness, complexity, accuracy, stability) of algorithm, (direct, inverse, ill posed) problem (Radon), ideology of (Bayes, Simpson, Fisher, Fourier, Quasi Wavelet Analysis), scanning scheme (fan, parallel, universal), tokamak, few VOS tomography (VOS — Views of sight).

Received: 23.04.2012

 English version: Mathematical Models and Computer Simulations, 2014, 6:1, 80–91

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