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Strip-Invariants of Double-Sided Matrix Transformation of Images

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Computer Vision in Control Systems-3

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 135))

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Abstract

In this chapter, a strip-method suitable for reducing pulse interference in communication channels, cryptography, steganography, and other applications is considered. The invariants to fragmentation and double-sided matrix transformation of images provide the noise immunity and transmission security. The chapter contains new definitions of invariants, as well as invariant images of the first and second types. Moreover, tasks of analyzing and synthesizing both invariants and corresponding transformation matrices are set forth too. The criteria of their existences are derived and methods for creation of invariant images using eigenvectors of transforming matrices are proposed. Some cases of complex and multiple eigenvalues of a direct transformation matrix are considered. It was proposed to solve the problem of finding the matrices of direct and inverse transformations by means of a given set of invariant images. The solution of the task of arraying the matrix of double-sided transformation according to a given set of invariant images is suggested.

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Author information

Authors and Affiliations

  1. St. Petersburg State University of Aerocosmic Instrumentation, 67, Bol. Morskaya Street, St. Petersburg, 190000, Russian Federation

    Leonid Mironovsky

  2. D.I. Mendeleyev Research Institute for Metrology, 19, Moskovsky Avenue, St. Petersburg, 190005, Russian Federation

    Valery Slaev

Authors
  1. Leonid Mironovsky
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  2. Valery Slaev
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Correspondence to Valery Slaev .

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Editors and Affiliations

  1. Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, 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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Mironovsky, L., Slaev, V. (2018). Strip-Invariants of Double-Sided Matrix Transformation of Images. In: Favorskaya, M., Jain, L. (eds) Computer Vision in Control Systems-3. Intelligent Systems Reference Library, vol 135. Springer, Cham. https://doi.org/10.1007/978-3-319-67516-9_10

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  • DOI: https://doi.org/10.1007/978-3-319-67516-9_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67515-2

  • Online ISBN: 978-3-319-67516-9

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