Efficient and noise-resistant single-pixel imaging based on Pseudo-Zernike moments

Area of Science:

• Optics and Photonics
• Computational Imaging
• Signal Processing

Background:

• Single-pixel imaging (SPI) techniques are crucial for reconstructing images with limited detector elements.
• Existing SPI methods can be susceptible to noise and require high sampling ratios for accurate reconstruction.
• Developing noise-resistant and efficient SPI methods is essential for practical applications.

Purpose of the Study:

• To propose and validate an efficient and noise-resistant single-pixel imaging technique utilizing Pseudo-Zernike moments (PZ-SPI).
• To demonstrate the capability of PZ-SPI to reconstruct images effectively at low sampling ratios.
• To evaluate the robustness of PZ-SPI against background noise compared to other SPI methods.

Main Methods:

• Illumination light fields modulated by Pseudo-Zernike polynomials are projected onto the object.
• A single-pixel detector measures reflected light intensities to compute Pseudo-Zernike moments.
• Image reconstruction is achieved through iterative summation of Pseudo-Zernike polynomials and their corresponding moments.

Main Results:

• PZ-SPI successfully reconstructs images at low sampling ratios, as confirmed by numerical simulations and experimental data.
• PZ-SPI exhibits superior robustness to background noise compared to Fourier-SPI and Zernike-SPI.
• The proposed technique demonstrates significant advantages for SPI applications in complex environments.

Conclusions:

• The Pseudo-Zernike moments-based single-pixel imaging (PZ-SPI) offers an efficient and noise-resistant imaging solution.
• PZ-SPI's ability to perform well at low sampling ratios and its robustness to noise broaden its applicability.
• This technique holds promise for advancing single-pixel imaging in challenging and noisy environments.