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  6. Spatial-temporal Binarization Encoding Basis Modulation Fourier Single-pixel Imaging

Spatial-temporal binarization encoding basis modulation Fourier single-pixel imaging

Jiangping Zhu, Yi Shuai, Lei Liu

Optics Express|June 14, 2025

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Summary

This study introduces a new spatial-temporal binary encoding method for Fourier single-pixel imaging (FSI). The novel approach significantly enhances image reconstruction quality and reduces sampling time compared to existing FSI techniques.

Area of Science:

  • Optics and Photonics
  • Computational Imaging

Background:

  • Fourier single-pixel imaging (FSI) faces limitations in switching rates and binary encoding of sinusoidal features.
  • Existing FSI methods struggle with maintaining high reconstruction quality and efficiency.

Purpose of the Study:

  • To present a novel FSI method using spatial-temporal binary encoding to overcome current limitations.
  • To improve image reconstruction quality, speed, and detail preservation in FSI.

Main Methods:

  • Developed an innovative image extension algorithm for scene preprocessing.
  • Decomposed grayscale Fourier basis patterns into binary patterns using dynamic thresholding and error diffusion.
  • Implemented a weighted reconstruction strategy for efficient single-pixel measurements.

Main Results:

  • Achieved substantial improvements in image reconstruction quality (e.g., 80% SSIM increase in simple scenes).
  • Demonstrated significant performance gains in complex scenes (e.g., up to 27.9% SSIM improvement).
  • Reduced sampling time by up to 28.225s while maintaining comparable reconstruction quality.

Conclusions:

  • The proposed spatial-temporal binary encoding FSI method offers superior performance over existing techniques.
  • The method excels in preserving texture details and enhancing background reconstruction.
  • This approach presents a versatile and practical advancement for diverse FSI applications.

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