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Stability investigation of the sign representation of images

  • Stochastic Systems
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Abstract

The stability notion of the sign representation of images is introduced. Group properties of the invariant transformations on sign representations of images are investigated. Analytical estimates are obtained of the stability measure of the sign representation of images noise-affected by the normal additive noise. The relation is set up between the stability of the complete sign representation and the stability of the window sign representation. The results of the statistical modeling that confirm the validity of theoretical estimates are presented.

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References

  1. Lepskii, A.E., On Stability of the Center of Masses of the Vector Representation in One Probabilistic Model of Noiseness of an Image Contour, Autom. Remote Control, 2007, no. 1, pp. 75–84.

  2. Boldin, M.V., Simonova, G.I., and Tyurin, Yu.N., Znakovyi statisticheskii analiz lineinykh modelei (Signed Statistical Analysis of Linear Models), Moscow: Nauka, 1997.

    Google Scholar 

  3. Jacobs, C.E., Finkelstein, A., and Salesin, D.H., Fast Multiresolution Image Querying, in Proc. of SIGGRAPH’ 95, New York: ACM, 1995, pp. 277–286.

    Chapter  Google Scholar 

  4. Goncharov, A.V. and Karkishchenko, A.N., Illumination Effect on the Quality of Recognition of Frontal Faces, Izv. YuFU, Tekh. Nauki, 2008, no. 4 (81), pp. 82–92.

  5. Goncharov, A. and Gubarev, V., Comparison of High-Level and Low-Level Face Recognition Methods, Proc. Pattern Recognition and Image Analysis: New Information Technologies (PRIA-9-2008), 2008, pp. 178–181.

  6. Alekseev, A.A., Imaev, D.Kh., Kuz’min, N.N., and Yakovlev, V.B., Teoriya upravleniya (Theory of Control), St. Petersburg: LETI, 1999.

    Google Scholar 

  7. Bronevich, A.G. and Goncharov, A.V., Sign Representation of Images and its Informativeness, 14th All-Russian Conf. “Mathematical Methods of Pattern Recognition,” Moscow: MAKS Press, 2009, pp. 309–312.

    Google Scholar 

  8. Stanley, R.P., Enumerative Combinatorics, Monterey: Wadsworth and Brooks, 1986. Translated under the title Perechislitel’naya kombinatorika, Moscow: Mir, 1990.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Research and Design Institute of Information, Automation, and Communication, Moscow, Russia

    A. N. Karkishchenko

  2. Technological Institute of the Southern Federal University, Taganrog, Russia

    A. V. Goncharov

Authors
  1. A. N. Karkishchenko
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  2. A. V. Goncharov
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Additional information

Original Russian Text © A.N. Karkishchenko, A.V. Goncharov, 2010, published in Avtomatika i Telemekhanika, 2010, No. 9, pp. 57–69.

This work was supported by the Russian Foundation for Basic Research, projects nos. 07-07-00067 and 08-07-00129.

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Karkishchenko, A.N., Goncharov, A.V. Stability investigation of the sign representation of images. Autom Remote Control 71, 1793–1803 (2010). https://doi.org/10.1134/S0005117910090043

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  • DOI: https://doi.org/10.1134/S0005117910090043

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