Generalized sparse Hadamard single-pixel Imaging.

Area of Science:

• Computational Imaging
• Optical Physics
• Signal Processing

Background:

• Scattering media pose significant challenges for conventional imaging systems.
• Single-pixel imaging offers a promising alternative but requires further advancements for practical applications.

Purpose of the Study:

• To introduce a new framework, sparse Hadamard single-pixel imaging (SHSI), for improved imaging in scattering media.
• To leverage sparse Hadamard speckle patterns with tunable sparsity for enhanced imaging performance.

Main Methods:

• Developed sparse Hadamard speckle patterns integrating orthogonality, sparsity, and pseudo-randomness.
• Proposed the SHSI framework utilizing these patterns for illumination and detection.
• Introduced two operational modes and a theoretical framework, validated via simulations and experiments.

Main Results:

• SHSI demonstrates improved noise robustness across various sampling rates.
• Achieved high-resolution imaging using low-order Hadamard matrices, reducing memory load.
• The method operates effectively without prior knowledge, training, or post-processing.

Conclusions:

• SHSI offers a simplified and robust approach to single-pixel imaging in scattering environments.
• The framework has potential for real-time reconstruction of occluded targets.
• SHSI advances computational imaging platforms reliant on sequential correlation measurements.