Image Security Scheme.pdf

The proposed image security scheme uses a combination of Arnold and Logistic maps in the Discrete Cosine Transform (DCT) to scramble and substitute image pixels. The Arnold map is used for scrambling, while the Logistic map is used for substitution. The scheme consists of two layers: a scrambling layer using the Arnold map, iterated for m iterations, and a substitution layer using the Logistic map, iterated for n iterations. The hybrid Arnold-Logistic transformations are applied in the DCT domain.

The DCT is a transformation technique that represents an image as a sum of sinusoids with varying frequencies and magnitudes. The 2-D DCT and inverse DCT (IDCT) are defined by equations (1) and (2), respectively. The DCT coefficients are scrambled using the Arnold map and substituted using the Logistic map.

The Arnold map is a chaotic map that rearranges the pixels of an image, while the Logistic map is a chaotic map that substitutes the pixel values. The combination of these two maps provides a high level of security and confusion.

The proposed scheme is tested through a series of experiments, and the results demonstrate its superiority in terms of security. The scheme is suitable for protecting sensitive information, such as images, from unauthorized access.

Key features of the proposed scheme include:

Use of Arnold and Logistic maps in the DCT domain
Scrambling and substitution layers for enhanced security
High level of confusion and diffusion
Suitable for protecting sensitive image information

Overall, the proposed image security scheme using chaotic Arnold-Logistic maps in the DCT provides a high level of security and is suitable for various applications, including image encryption and protection of sensitive information.