Image Scrambling Based on Arnold Transform

This article presents a MATLAB program for image scrambling based on Arnold transform. The Arnold transform is a mathematical transformation that generates chaotic mapping, commonly used for image encryption and scrambling operations. In this implementation, we utilize the Arnold transform to scramble input images, making the output visually unrecognizable and cryptographically challenging to decode. The core algorithm involves pixel coordinate rearrangement through iterative transformation using the formula: [x'] = [1 1; 1 2] * [x] mod N [y'] [1 2] [y] where (x,y) represent original pixel coordinates, (x',y') are transformed coordinates, and N is the image dimension. The program iterates this transformation multiple times to achieve effective scrambling. This solution finds broad applications in security-sensitive domains requiring image protection, such as military communications and secure data transmission systems. The implementation can be further enhanced by integrating additional cryptographic algorithms like AES encryption or incorporating logistic maps to strengthen security and reliability of the scrambling mechanism.