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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

Active Publication Date: 2015-02-25
LIAONING UNIVERSITY
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AI Technical Summary

Problems solved by technology

Currently existing scrambling techniques such as Arnold transform, Hilbert curve scanning, Zig-Zag scanning, and P-Fibonacci transform mainly involve modulo calculations, which require a large amount of calculation, time-consuming scrambling, unsatisfactory scrambling speed, and low efficiency. They are relatively low; and they are mainly used for square matrix images, and the applicability of scrambling is not good; the scrambling method based on sampling technology has a sampling period, and the sampling period is short, but the scrambling effect is not ideal, and the scrambling image can be seen to some information about the original image
[0003] Many literatures have proposed image scrambling methods, and there are many scrambling techniques based on pixel spatial positions, among which scanning scrambling techniques have many applications, such as the more commonly used Hilbert curve scanning and Zig-Zag scanning methods, but these two This scanning method is more complex, with a large amount of calculation, and its scanning is time-consuming, so it is quite challenging to study a good scanning-based fast scrambling method

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  • Image scrambling method based on Hankel matrix scanning
  • Image scrambling method based on Hankel matrix scanning
  • Image scrambling method based on Hankel matrix scanning

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Embodiment Construction

[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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Abstract

The invention discloses an image scrambling method based on Hankel matrix scanning, belonging to the field of digital image processing. The method comprises a forward image scrambling part and a backward image scrambling part, wherein the forward image scrambling part is specifically as follows: firstly, a progressively increased non-negative sequence A is generated, and then a Hankel matrix of the non-negative sequence is generated, next, the Hankel matrix with the same size as an image is obtained by an intercepting manner; the Hankel matrix is canned according to an order of the sequence A, and synchronously, an image to be scrambled is scanned in the same way as the Hankel matrix is scanned, and the image to be scrambled after being scanned is stored into a one-dimensional array and converted to be with the same size as an initial image, so that a scrambled image is obtained; and the backward image scrambling is an inverse process of the forward image scrambling. The image scrambling method disclosed by the invention is based on Hankel matrix scanning, and scans the image to be scrambled in a way of scanning the Hankel matrix, so that rapid scrambling of the image is realized; tests show that the method can realize an ideal scrambling effect rapidly with stable scrambling, high scrambling degree, strong generality, good security and no loss of image after scrambling recovery; in addition, the method has the advantages of strong resisting ability against shearing, zooming, filtering and noise attack.

Description

technical field [0001] The invention relates to an image scrambling method based on Hankel matrix scanning, is an information hiding preprocessing method and an image encryption means, and belongs to the field of digital image processing. Background technique [0002] With the development of network technology, a large amount of personal and public information is disseminated on the network, which makes the issue of information security become a hot spot that people pay attention to. For the image information that the public is concerned about, there is still a lack of sufficient research in traditional secrecy. Moreover, image information is easily intercepted illegally in the process of network storage and transmission, resulting in serious consequences and losses. Reliable encryption processing of digital images is particularly necessary. Scrambling is actually the encryption of the image. Unlike encryption to ensure security, hiding the scrambled image as secret informa...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04N1/32H04N1/44G06T1/00
Inventor 范铁生张忠清曲大鹏王军
Owner LIAONING UNIVERSITY
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