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A Way of Energy Analysis for Image and Video Sequence Processing

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Computer Vision in Control Systems-1

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 73))

Abstract

Usually the object movements are determined by the analysis of interframe difference in video signals. It is the simplest universal method. However, it does not provide the intelligent processing, especially in the case of extremely low luminance. The interframe differences of energy and phase-energy spectrums are considered as an alternative way. The phase-energy spectrum is a product of partial derivatives in spatial phase-frequency spectrum over their spatial frequencies. It provides the detailed information about motion in finite frames. Moreover, the edges in an image have a significant role. The modeling of interframe differences of frequency responses is based on the analysis of pixels locating near the “moving” boundaries. This increases a probability of movement’s detection. A distortion of moving object’s shape, movement’s characteristics, and a quantity of moving objects are defined from the analysis of types of interframe differences. The interframe differences of frequency responses always lead to the best results than the differences of video signals in spatial domain. The changes of the energetic indexes in static images determine the efficiency function as a dependence of output and input energies of 2D filter. This function is defined on a whole set of impulse responses of a filter. The efficiency function is a positively certain quadratic form with certain coefficients. These coefficients are obtained as a result of energy spectrum decomposition of input frame into 2D Fourier series over the cosines. The analysis of stationary points and also their efficiency function allow to synthesize the optimum and the quasi-optimum 2D filters. The proposed way of energy analysis provides some novel possibilities, for example, a detection of visual objects with extremely small contrast.

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Authors and Affiliations

  1. Tambov State Technical University, 106 Sovetskaya st, Tambov, 392000, Russian Federation

    Andrei Bogoslovsky & Irina Zhigulina

Authors
  1. Andrei Bogoslovsky
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  2. Irina Zhigulina
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Corresponding author

Correspondence to Irina Zhigulina .

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Editors and Affiliations

  1. Department of Informatics and Computer Techniques, Siberian State Aerospace University, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  2. Faculty of Education, Science, Technology and Mathematics, University of Canberra, Canberra, Australia

    Lakhmi C. Jain

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Bogoslovsky, A., Zhigulina, I. (2015). A Way of Energy Analysis for Image and Video Sequence Processing. In: Favorskaya, M., Jain, L. (eds) Computer Vision in Control Systems-1. Intelligent Systems Reference Library, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-10653-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-10653-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10652-6

  • Online ISBN: 978-3-319-10653-3

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