MATLAB Code Implementation for Text Image Encryption Using Lorentz Transform

This text describes a text image encryption method employing chaotic cryptography and Lorentz transform for three-dimensional spatial encryption. This program utilizes mathematical approaches to protect critical information against theft and hacking attacks. Chaotic encryption represents a highly secure cryptographic technique that leverages the complexity and unpredictability of chaos theory to generate encryption keys, thereby ensuring information security. The Lorentz transform refers to coordinate transformations of points in three-dimensional space, which can also be applied to encrypt information. This text image encryption method ensures information confidentiality and security, making it suitable for protecting highly classified data. From an implementation perspective, the MATLAB code would typically involve: - Generating chaotic sequences using Lorentz system differential equations - Implementing 3D coordinate transformations for pixel position scrambling - Applying XOR operations between chaotic sequences and image pixel values - Utilizing MATLAB's image processing toolbox for input/output operations The core algorithm involves solving the Lorentz system equations: dx/dt = σ(y-x) dy/dt = x(ρ-z)-y dz/dt = xy-βz where σ, ρ, and β are system parameters that determine the chaotic behavior. Key MATLAB functions would include ode45 for solving differential equations, imread for image input, and bitxor for encryption operations. The implementation would transform image pixels into 3D coordinates, apply Lorentz transformations, and use the resulting chaotic sequences for pixel value modification.