Image Encryption Using Logistic Chaotic Mapping with Binary Data Conversion

Resource Overview

This image encryption method based on Logistic chaotic mapping converts image data into binary format, generates chaotic sequences using the Logistic map, applies threshold-based binarization to create binary sequences, and implements encryption through logical operations between binary image data and chaotic binary sequences.

Detailed Documentation

In this article, I present an image encryption method based on Logistic chaotic mapping. The implementation involves first converting image pixel data into binary format using MATLAB's dec2bin function or equivalent bit-level operations. The system then generates chaotic sequences through the Logistic map equation xₙ₊₁ = μxₙ(1-xₙ), where μ represents the growth parameter typically set between 3.57 and 4.0 for chaotic behavior. A threshold value is established to convert these continuous chaotic sequences into binary sequences - values above threshold become 1, others become 0. The core encryption algorithm applies logical operations (typically XOR) between the binary image data and chaotic binary sequences, effectively scrambling the image content. This encryption approach enhances image security by protecting against unauthorized access and tampering through the pseudo-random properties of chaotic systems.