Implementation of Cat Face Transformation (Arnold Transformation) and Its Recovery

This compressed archive contains two primary functions. The first function implements the Cat Face Transformation, also known as the Arnold Transformation, which performs image scrambling to enhance image security through a reversible chaotic mapping algorithm. The transformation typically involves pixel coordinate remapping using modulo arithmetic operations to ensure periodicity and reversibility. The second function handles image recovery, employing the inverse Arnold transformation algorithm with complementary modulo operations to precisely reconstruct the original image from the scrambled version. Additionally, the archive includes sample images for testing both functions, allowing users to observe the transformation effects, verify the restoration accuracy, and evaluate suitability for their specific applications. These test images demonstrate key implementation aspects such as transformation cycle periods, pixel displacement patterns, and recovery fidelity under various iteration counts.