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Single pixel imaging via unsupervised deep compressive sensing with collaborative sparsity in discretized feature

Mengyu Jia1, Lequan Yu2, Wenxing Bai1

  • 1College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin, China.

Journal of Biophotonics
|March 24, 2022
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Summary

This study introduces a deep learning framework for single-pixel imaging (SPI) that overcomes sub-Nyquist sampling challenges. The unsupervised method achieves high image fidelity at low sampling rates, enhancing compressive imaging applications.

Keywords:
deep compressive sensingdeep learningfluorescence imagingsingle pixel imaging

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Area of Science:

  • Optics and Photonics
  • Computational Imaging
  • Machine Learning

Background:

  • Single-pixel imaging (SPI) offers low-cost sensing beyond the visible spectrum.
  • Sub-Nyquist sampling in SPI is hindered by spectrum truncation and discretization, limiting traditional reconstruction.
  • Existing deep learning methods often require retraining for different SPI parameters.

Purpose of the Study:

  • To develop a robust deep compressive sensing (CS) framework for single-pixel imaging reconstruction.
  • To enable collaborative sparsity in feature space for improved image recovery.
  • To create an unsupervised learning approach that avoids retraining for varying sensing parameters.

Main Methods:

  • A novel deep compressive sensing (CS) framework with a compression network was designed.
  • The network was trained in an unsupervised manner, independent of specific sensing physics.
  • Validation was performed using numerical simulations, physical experiments, and fluorescence imaging.

Main Results:

  • The proposed method achieved comparable image fidelity to sCMOS cameras at sampling ratios as low as 4%.
  • It maintained the inherent advantages of SPI, such as low cost and broad spectral range.
  • The unsupervised and self-contained nature facilitates downstream applications in compressive imaging.

Conclusions:

  • The unsupervised deep CS framework effectively addresses sub-Nyquist sampling limitations in SPI.
  • This approach enhances image reconstruction quality and broadens the applicability of SPI.
  • The technique shows significant promise for advanced sensing and imaging applications.