Double image encryption based on random phase encoding in the fractional Fourier domain.

Area of Science:

• Computer Science
• Cryptography
• Image Processing

Background:

• Traditional image encryption methods face challenges with security and data integrity.
• The need for robust encryption techniques that can handle data loss is critical.

Purpose of the Study:

• To propose a novel image encryption method using random phase encoding in the fractional Fourier domain.
• To achieve secure encryption of two images into a single encrypted image.
• To ensure robust decryption resistant to data loss and noise.

Main Methods:

• Utilizing random phase encoding in the fractional Fourier domain.
• Employing fractional orders, random phase masks, and a pixel scrambling operator as keys.
• Developing a decryption process robust against data loss.

Main Results:

• Two primary images were successfully encrypted into one image with a stationary white distribution.
• Complete recovery of both original images without cross-talk was achieved using the correct keys.
• The decryption process demonstrated robustness against data loss.
• Phase-based encryption showed higher sensitivity to keys and disturbances compared to amplitude-based methods.
• Pixel scrambling enhanced decrypted image quality under noise perturbation.

Conclusions:

• The proposed image encryption method offers a secure and robust solution for encrypting multiple images.
• The technique is effective in preventing data loss during decryption and improving resilience to noise.
• The fractional Fourier domain with random phase encoding provides a promising approach for advanced image cryptography.