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Computer Vision in Control Systems—6 pp 7–23Cite as

New Methods of Forming and Measurement of Sub-pixel Shift of Digital Images

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Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 182))

Abstract

Methods of forming digital images with sub-pixel shift and measuring this shift are developed. Modification of discrete Chebyshev transformation is suggested to create the images with given sub-pixel shift. Optimal net of Chebyshev samples (secondary readings) in digital images is calculated. Samples are calculated in zeros of Chebyshev polynomials. Indicators of non-integer shift in a form of discriminators are suggested. Discriminators algorithms approximate Newton–Raphson method of estimating maximum likelihood. Estimation distribution for some types of discriminators in the presence of noise is obtained. We found that the estimation distribution is non-Gaussian, with “heavy tails”. Limiters producing the stable estimations in order to subdue big output signal values are presented. Theoretical distributions of stable estimations are obtained. By means of statistical modeling, a coincidence between experimental and theoretical characteristics is established. The suggested algorithms are easy to calculate.

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Author information

Authors and Affiliations

  1. Voronezh State University, 1, University Square, Voronezh, 394018, Russian Federation

    Yuriy S. Radchenko & Olga A. Masharova

Authors
  1. Yuriy S. Radchenko
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  2. Olga A. Masharova
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Editor information

Editors and Affiliations

  1. Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  2. Faculty of Engineering and Information Technology, Technology Centre for Artificial Intelligence, University of Technology Sydney, Broadway, NSW, Australia

    Lakhmi C Jain

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Radchenko, Y.S., Masharova, O.A. (2020). New Methods of Forming and Measurement of Sub-pixel Shift of Digital Images. In: Favorskaya, M., Jain, L. (eds) Computer Vision in Control Systems—6. Intelligent Systems Reference Library, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-030-39177-5_2

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