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Doubly stochastic models of images

  • Representation, Processing, Analysis and Understanding of Images
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Abstract

Problems of synthesis of doubly stochastic autoregressive models are considered that can be used for the formation of images close to real signals in their properties. A mechanism is proposed for the formation of images with parameters close to the given characteristics of real signals. The main feature is the formation of parameter fields by fitting to a given mathematical model of the image. In addition to the solution of the synthesis problem, the problems of filtration of multidimensional images generated by doubly stochastic models are considered. Various filtration algorithms are considered, in particular, nonlinear Kalman filtration, multistage Kalman filtration, and Wiener filtration.

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Authors and Affiliations

  1. Ul’yanovsk State Technical University, ul. Severnyi Venets 32, Ul’yanovsk, 432027, Russia

    K. K. Vasil’ev, V. E. Dement’ev & N. A. Andriyanov

Authors
  1. K. K. Vasil’ev
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  2. V. E. Dement’ev
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  3. N. A. Andriyanov
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Correspondence to K. K. Vasil’ev.

Additional information

This paper uses the materials of a report that was submitted at the 11th International Conference Pattern Recognition and Image Analysis: New Information Technologies that was held in Samara, Russia on September 23–28, 2013.

Konstantin Konstantinovich Vasil’ev. Born 1948. Graduated from the Leningrad Institute of Electrical Engineering in 1972 with specialty “Radio Electronic Devices.” Received candidates degree in 1975 and doctoral degree in 1985. Scientific interests: statistical analysis of random processes and fields. An Honored Science and Technology Worker of the Russian Federation, Corresponding Member of the Academy of Sciences of the Republic of Tatarstan, Head of Telecommunication Chair of the Ul’yanovsk State Technical University.

Vitalii Evgen’evich Dement’ev. Born 1982. Graduated from the Ul’yanovsk State Technical University in 2004 with specialty “Applied Mathematics.” Received candidates in 2007. Scientific interests: statistical analysis of random processes and fields. Currently an associate professor at Telecommunication Chair at the Ul’yanovsk State Technical University.

Nikita Andreevich Andriyanov. Born 1990. Graduated from the Ul’yanovsk State Technical University in 2013. Currently a postgraduate student at Telecommunication Chair at the Ul’yanovsk State Technical University. Author of 15 publications in the field of statistical methods of signal processing.

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Vasil’ev, K.K., Dement’ev, V.E. & Andriyanov, N.A. Doubly stochastic models of images. Pattern Recognit. Image Anal. 25, 105–110 (2015). https://doi.org/10.1134/S1054661815010204

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  • DOI: https://doi.org/10.1134/S1054661815010204

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