Image scrambling method based on Hankel matrix scanning
An image scrambling and matrix technology, applied in image communication, image data processing, image data processing and other directions, can solve the problems of short sampling period, large amount of calculation, time-consuming scanning, etc., to achieve strong anti-attack ability, ensure security, Good scrambling effect
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[0038] First introduce the theoretical basis of the present invention:
[0039] 1) Hermann Hankel
[0040] Hermann Hankel (German: Hermann Hankel, February 14, 1839 - August 29, 1873), a German mathematician, was born in Halle, Saxony-Anhalt.
[0041] Hankel studied and worked with mathematicians such as Möbius, Riemann, Verstrass and Kronecker.
[0042] Hankel's famous contributions include his proposal of a special class of functional solutions to Bessel equations (called "Bessel functions of the third kind" or Hankel functions), and Hankel matrices in linear algebra.
[0043] 2) Hankel matrix definition: set a non-negative sequence , abbreviated as , the Hankel matrix of this sequence is
[0044] (1)
[0045] where the n-order Hankel matrix is denoted as , its determinant is recorded as , obviously is a symmetric matrix.
[0046] Theorem The necessary and sufficient condition for matrix H of order n to be a Hankel matrix is
[0047] ...
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