Optical multiple-image authentication method based on Fourier single-pixel imaging and multiple logistic maps

Area of Science:

• Optics and Photonics
• Image Processing
• Cryptography

Background:

• Fourier single-pixel imaging (FSPI) enables spatial information acquisition using sinusoidal patterns.
• A key challenge in FSPI is the high number of measurements required to avoid losing object details.
• Existing methods lack efficient and secure authentication mechanisms for reconstructed images.

Purpose of the Study:

• To propose an efficient and secure optical multiple-image authentication method for FSPI.
• To reduce the number of measurements required for image authentication.
• To enhance the security of the cryptosystem by utilizing chaotic maps.

Main Methods:

• Employs sparse sampling based on spatial frequency distribution for reduced measurement size.
• Converts Fourier sinusoid patterns into binarized illumination patterns using Floyd-Steinberg error diffusion dithering.
• Generates ciphertext using chaotic sequences from multiple logistic maps for random spatial frequency selection and measurement scrambling.
• Utilizes initial values and bifurcation parameters of logistic maps as secret keys.

Main Results:

• Achieves authentication of reconstructed images with a significantly low sampling ratio (less than 5% of the Nyquist limit).
• Demonstrates the feasibility of the proposed method through experimental results and simulations.
• Confirms enhanced security of the cryptosystem due to the use of logistic map parameters as secret keys.

Conclusions:

• The proposed method offers an effective and efficient solution for multiple-image authentication in FSPI.
• It significantly reduces measurement requirements, overcoming a major challenge in the field.
• Provides a secure and feasible alternative for image authentication in optical imaging systems.