Image Scrambling of Lena Image Using Arnold Transformation

This project demonstrates image scrambling of the Lena image using Arnold transformation. The Arnold transformation algorithm, based on chaotic theory, processes the image by rearranging pixel positions through mathematical operations. In implementation, the transformation typically involves a 2D mapping function: x' = (x + y) mod N and y' = (x + 2y) mod N, where (x,y) are original pixel coordinates and N is the image dimension. The algorithm iterates this process multiple times, controlled by a transformation parameter that determines scrambling intensity. By adjusting iteration counts and transformation parameters, developers can achieve varying degrees of image obscuration - from slight distortion to complete scrambling. The Lena image serves as an ideal test case due to its standard resolution and recognizable features. This technique finds applications in image encryption, digital watermarking, and artistic image processing, where the chaotic nature of Arnold transformation provides security through irreversible pixel displacement when properly implemented with cryptographic keys.