Image Compression Sensing and Image Encryption Method Based on Controlled Sparse Basis
An image compression and sparse base technology, applied in the field of information security, can solve problems such as measurement matrix difficulties, achieve the effects of expanding key space, resisting brute force attacks, and shortening encryption time
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[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 thereby.
[0032] This implementation scheme is based on fractional wavelet transform, compressed sensing and fractional Chen chaotic system. First, the fractional wavelet transform base is used as the sparse base to sparsely process the image f(x, y), and then the M×N Gaussian random matrix is used to measure the image. The chaos 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]
[0034]
[0035] where f(x,y) represents the original image, Expressed as a sparse basis, Φ represents the measurement matrix, Q represents the secondary encryption sequence, Represents the ciphertext, and g(x,y) represents the decrypted image. Using encrypt...
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