Contour analysis and modern optics of gaussian beams
V.G. Volostnikov, S.A. Kishkin,  S.P. Kotova

Samara Branch of P.N. Lebedev Physical Institute, Russian Academy of Sciences,
Samara State Aerospace University

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Full text of article: Russian language.

DOI: 10.18287/0134-2452-2014-38-3-476-481

Pages: 476-481.

Abstract:
The paper brings forward a theoretical study of the usability of the mathematical apparatus of spiral beams for problems of the contour images identification. The estimation of the approach offered is given in the light of its advantages and shortcomings, numerical simulation results are offered and the method applications aspects are analyzed in the context of actual practical tasks.

Key words:
coherent optics, spiral light beams, contour images.

References:

  1. Vizilter, Yu.V. Image Processing and Analysis in Tasks of Computer Vision / Yu.V. Vizilter, S.Yu. Zheltov, A.V. Bon­darenko, M.V. Ososkov, A.V. Morzhin – Moscow: “Fizmatkniga” Publisher, 2010. – 672 p. – (In Russian).
  2. Furman, Ya.A. Introduction to Contour Analysis and its Applications in Image and Signal Processing / Ya.A. Furman. – Moscow: “Fizmatlit” Publisher, 2003. – 592 p. – (In Russian).
  3. Volostnikov, V.G. Modern Optics of Gaussian Beams / E.G. Abramochkin, V.G. Volostnikov. – Moscow: “Fizmatlit” Publisher, 2010. – 184 p. – (In Russian).
  4. Volostnikov, V.G. New method of contour image processing based on the formalism of spiral light beams / V.G. Vo­lostnikov, S.A. Kishkin, S.P. Kotova // Quantum Electronics. – 2013. – Vol. 43(7). – P. 646-650. – (In Russian).
  5. Znak, V.I. Computer-aided system of supporting the processing the periodic signals, their analysis and visual control of results / V.I. Znak // Pattern recognition and image analysis (Advances in mathematical theory and applications). – 2012. – V. 22(3). – P. 489-494. – ISSN 1054-6618.
  6. Furman, Ya.A. Iterative algorithm for angular matching of group point objects with a priori uncertainty of parameters / Ya.A. Furman, I.L. Egoshina, R.V. Eruslanov // Pattern recognition and image analysis (Advances in mathematical theory and applications). – 2013. – V. 23(3). – P. 381.
  7. Dedus, F.F. Classical and Orthogonal Bases for Tasks of Signals Analytical Description and  Processing/ F.F. Dedus, L.I. Ku­likova, A.N. Pankratov, R.K. Tetuev; ed. by F.F. Dedus. – Мoscow: “MSU” Publisher, 2004. – 141 p. – (In Russian).
  8. Abramochkin, E.G. Spiral Light Beams / E.G. Abramoch-kin, V.G. Volostnikov // Physics-Uspekhi. – 2004. – V. 47, – P. 1177–1203. – ISSN 1063-7869.
  9. Vinberg, E.B. A course in algebra / E.B. Vinberg. – American Mathematical Society, 2003. – 511 p.

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