Chaotic Sequence Image Encryption

Chaotic sequence image encryption is an encryption technique based on nonlinear dynamical systems. The core concept involves utilizing the extreme sensitivity of chaotic systems to initial conditions to generate pseudo-random sequences, which subsequently scramble the arrangement or values of image pixels. This encryption method is particularly suitable for implementation in MATLAB due to its powerful matrix operations and image processing capabilities.

The encryption process typically begins with the user selecting a key between 0 and 1, which serves as the initial condition for the chaotic system. Common chaotic systems such as Logistic map or Lorenz system are employed to generate chaotic sequences. After processing, this sequence is used to perform permutation or XOR operations on image pixels, thereby achieving encryption. Notably, encryption and decryption require the same key to restore the image, necessitating highly secure key transmission and storage.

Due to the properties of chaotic systems, even minute differences in the key will generate completely different sequences, making it impossible to decrypt the image with an incorrect key. This mechanism provides strong security guarantees for images, making it suitable for digital image transmission and storage scenarios requiring high security levels. In MATLAB implementation, key functions would include chaotic system simulation using difference equations, sequence normalization, and pixel-level operations using matrix manipulation functions.