Designing Illumination Patterns for Single-Pixel Imaging Using Lattice Models

Single-pixel imaging leverages a single-pixel detector and structured illumination patterns to reconstruct images, offering a cost-effective solution for imaging across a wide range of wavelengths, such as x-ray and terahertz. However, the technique faces challenges in efficiency due to the need for numerous patterns to achieve high-quality image reconstruction. In this study, we explore the use of spin lattice models from statistical mechanics to design illumination patterns for single-pixel imaging. By employing models like Ising, Potts, XY, and Heisenberg, we generate structured patterns that are adaptable for binary, grayscale, and color imaging. This work creates a direct connection between lattice models and imaging applications, providing a systematic approach to pattern generation that can enhance single-pixel imaging efficiency.