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Haar wavelet is one of the best mathematical tools in image cryptography andanalysis. Because of the specific structure, this wavelet has the ability whichis combined with other mathematical tools such as chaotic maps. The rationalorder chaotic maps are one of clusters of chaotic maps which theirdeterministic behaviors have high sensitivity. In this paper, we propose anovel method of gradient Haar wavelet transform for image encryption. Thismethod use linearity properties of the scaling function of the gradient Haarwavelet and deterministic behaviors of rational order chaotic maps in order togenerate encrypted images with high security factor. The security of theencrypted images is evaluated by the key space analysis, the correlationcoefficient analysis, and differential attack. The method could be used inother fields such as image and signal processing.

Image Encryption Based On Gradient Haar Wavelet and Rational Order Chaotic Maps