Multi-image encryption and authentication method based on sparse constraint and system

Abstract

The invention provides a multi-image encryption and authentication method based on sparse constraint and a system. The method comprises steps that multiple colorful images are respectively expressed as multiple quaternion matrixes; quaternion Gyrator transformation is employed to carry out double random phase encryption of the multiple quaternion matrixes to acquire multiple cryptograph data; according to the sparse matrixes, sparse expression of the multiple cryptograph data is carried out respectively to acquire multiple sparse cryptograph data; and components comprise real and imaginary components; the multiple sparse cryptograph data are superposed to acquire a final cryptograph; the final cryptograph is decrypted; and according to the decryption result and the to-be-detected images, non-linear correlation distribution is calculated to carry out authentication. The multi-image encryption and authentication method based on sparse constraint is advantaged in that relatively high security is realized, the cryptograph space and the operation time can effectively saved, and the method is suitable for being applied to image secret communication and authentication fields.

Description

technical field [0001] The invention relates to the technical field of image processing, in particular to a multi-image encryption and authentication method and system based on sparse constraints. Background technique [0002] Since the image encryption algorithm based on dual random phases in the related art was proposed, this technology has been widely combined with other transformations such as fractional Fourier transform, Gyrator transform, and phase recovery algorithms for secure communication of secret images. In order to further improve the security of encryption systems, sparse representations have recently been introduced into the field of image encryption based on dual random phases. This technique only decrypts the sparse ciphertext, although it can obtain visually invisible images, but it can be authenticated by means of non-linear correlation. [0003] Because color information can not only provide rich visual information and pleasing visual experience, the se...

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Problems solved by technology

However, the essence of the phase recovery algorithm is to determine the phase ma

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