Neural-like and algebraic modeling of projection data in parallel fiber optical tomography in limited-angle conditions
Y.N. Kulchin, E.V. Zakasovskaya

Institute of Automation and Control Processes, FEB RAS,

Far Eastern National University

Full text of article: Russian language.

Abstract:
The paper discusses tomography reconstruction of distributed physical fields by means of distributed fiber optical measuring systems (FOMN) for incomplete parallel schemes of measuring lines (ML) stacking. The approach is presented, allowing to use Radial Basis Function Neural Network(RBFNN) for preprocessing of projection data for the purpose of further application to them of methods of approximating for the nonregular schemes of stacking of ML of more simple form.

Key words:
distributed fibre-optic measuring system, schemes of scanning, parallel beam tomography, radial basis function neural network (RBFNN).

References:

  1. Kul’chin, Yu.N. Distributed Optical Fiber Measuring Systems / Yu.N. Kul’chin - Moscow: Fizmatlit, 2001. – 272 p. – (in Russian).
  2. Haykin, S. Neural Networks: a Comprehensive Foundation / S. Haykin – New Jersey, Prentice Hall, 1999. – 842 p.
  3. Tikhonov, A.N. Methods of solving ill-posed problems / A.N. Tikhonov and V.Ya. Arsenin – Moscow: “Nauka”, 1988. – 288 p. – (in Russian).
  4. Faridani, A. A Generalized Sampling Theorem for Locally Compact Abelian Groups / A. Faridani // Math. of Comp. – 1994. – Vol. 63. – P. 307-327.
  5. Behmard, H. Sampling of Bandlimited Functions on Unions of Shifted Lattices / H. Behmard, A.Faridani // J. Fourier Anal. Appl. – 2002. – V. 8. – P. 43-58.
  6. Kulchin, Yu. N. Nonuniform schemes of measuring lines stacking in distributed fibre-optic systems/ Yu. N. Kulchin, E.V. Zakasovskaya // Informatics and control systems – 2009. – № 3(21). – P.  61-71. – ISSN 1814-2400 – (in Russian).
  7. Kulchin, Yu.N. Artifacts suppression in limited data problem for parallel fiber optical measuring systems / Yu.N. Kulchin, E.V. Zakasovskaya // Optical Memory & Neural Networks (Information Optics). – 2009. – V.18, N 3, P.171-180. – ISSN 1060–992Х.
  8. Kulchin, Yu.N. Artifacts suppression in limited data problem for parallel fiber optical measuring systems / Yu.N. Kulchin, E.V. Zakasovskaya // Optical Memory & Neural Networks (Information Optics). – 2008, vol.17, № 4, P. 317-327. – ISSN 1060–992Х.
  9. Natterer, F. Mathematics of Computerized Tomography/ Natterer F.– John Wiley & Sons Ltd., N. Y., 1986. –288 p.
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