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Image compression sensing and image encrypting method based on sparse matrix control

An image compression, sparse basis technology, applied in the field of information security, can solve problems such as difficulty in measuring matrices

Inactive Publication Date: 2015-03-25
NANCHANG UNIV
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  • Claims
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Problems solved by technology

[0005] The existing image encryption algorithms based on compressed sensing almost all use the measurement matrix as the encryption key, but it is relatively difficult to construct a measurement matrix that can satisfy the constrained isometric condition and can be used for encryption

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  • Image compression sensing and image encrypting method based on sparse matrix control
  • Image compression sensing and image encrypting method based on sparse matrix control
  • Image compression sensing and image encrypting method based on sparse matrix control

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Embodiment Construction

[0030] Specific implementation plan

[0031] The present invention will be further described below in conjunction with the embodiments and drawings, but the protection scope of the present invention should not be limited by this.

[0032] This implementation is based on the fractional wavelet transform, compressed sensing and fractional Chen chaotic system. First, the fractional wavelet transform base is used as the sparse base to sparse the image f(x, y), and then the M×N Gaussian random matrix is ​​used to measure the image. The chaotic system is used to scramble the measured matrix to complete the image encryption process. The encryption and decryption process can be expressed as follows

[0033] encryption: g ~ ( x , y ) = Q [ Φ Ψ T k f ( x , y ) ] - - - ( 7 )

[0034] Decrypt: g ( x , y ) = Ψ X OMP ( Q - 1 ( g ~ ( x , y ) ) , Φ ) - - - ...

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Abstract

The invention provides an image compression sensing and image encrypting method based on sparse matrix control. An order is used as a secret key for controlling generation of a fraction wavelet transformation sparse matrix, and then the sparse matrix is used for carrying out sparse expression for an image to obtain a low-frequency coefficient matrix and a high-frequency coefficient matrix of the image; measurement matrixes of the number of corresponding measurement times are constructed according to the sparseness of the coefficient matrixes, and sparse coefficients are measured to obtain a compressed and encrypted image. In order to improve the safety of an encryption algorithm, fraction Chen chaos sequences of a weighted array are used for scrambling measurement values to obtain a ciphertext. The fraction wavelet transformation and fraction Chen chaos scrambling are combined, and the non-linear characteristic of the fraction order property and the fraction chaos sequences is fully utilized. The image is encrypted while being compressed, the difficulty of the large data size when the image is transmitted can be effectively overcome, and image information leakage is prevented.

Description

Technical field [0001] The invention patent belongs to the field of information security technology, and particularly relates to image compression and encryption technology. Background technique [0002] Image encryption technology uses the matrix characteristics of digital images to change the position (or value) of pixels (or transform domain coefficients) in the spatial domain (or transform domain) of the image according to a certain transform rule, and transform the meaningful original image into To be "disorganized", it loses its original appearance and is transformed into information similar to random noise of the channel, and the authorized receiver can decrypt the transformed image by using a pre-appointed key and decryption method to obtain the original image. However, the amount of image data is generally relatively large, and the high information redundancy is not conducive to data transmission. In order to reduce the amount of data transmitted on the network, the ima...

Claims

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Application Information

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IPC IPC(8): G06T1/00
Inventor 周南润杨建平胡利云
Owner NANCHANG UNIV
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