Hadamard single-pixel imaging versus Fourier single-pixel imaging

Area of Science:

• Optics and Photonics
• Computational Imaging
• Signal Processing

Background:

• Single-pixel imaging (SPI) utilizes active illumination for spatial information acquisition, enabling non-visible wavelength and low-light imaging.
• Traditional SPI faced challenges with low reconstruction quality and extended data acquisition times.
• Hadamard single-pixel imaging (HSI) and Fourier single-pixel imaging (FSI) are deterministic model-based techniques that enhance SPI performance.

Purpose of the Study:

• To compare the performance of Hadamard single-pixel imaging (HSI) and Fourier single-pixel imaging (FSI).
• To provide theoretical analysis and experimental validation of HSI and FSI capabilities.
• To guide researchers in selecting appropriate single-pixel imaging techniques based on application requirements.

Main Methods:

• Theoretical analysis of HSI and FSI principles.
• Experimental implementation and data acquisition for both imaging techniques.
• Comparative performance evaluation based on reconstruction quality, efficiency, and noise robustness.

Main Results:

• Fourier single-pixel imaging (FSI) demonstrates higher imaging efficiency compared to HSI.
• Hadamard single-pixel imaging (HSI) exhibits greater robustness against noise.
• Both HSI and FSI significantly improve upon traditional single-pixel imaging limitations.

Conclusions:

• FSI is preferable for applications prioritizing speed and efficiency.
• HSI is recommended for scenarios requiring high noise tolerance.
• The findings offer practical guidance for optimizing single-pixel imaging system design.