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Heberley Tobón-Maya1, Lindsey Willstatter2,3, Samuel I Zapata-Valencia4

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This study introduces a novel method to correct aberrations in Hadamard-based single-pixel microscopy (HSPM), significantly improving image resolution. The technique enables near-diffraction-limited imaging, advancing computational microscopy applications.

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Area of Science:

  • Computational imaging
  • Optical microscopy
  • Adaptive optics

Background:

  • Single-pixel microscopy (SPM) uses structured light patterns and a bucket detector for imaging.
  • Hadamard-based single-pixel microscopy (HSPM) is a key SPM implementation using digital-micromirror devices (DMDs).
  • Image quality in HSPM is limited by aberrations from DMDs and sample scattering, hindering near-diffraction-limited performance.

Purpose of the Study:

  • To theoretically and experimentally address the impact of aberrations on HSPM performance.
  • To enable HSPM to achieve near-diffraction-limited operation under practical conditions.
  • To develop a framework for advancing single-pixel microscopy.

Main Methods:

  • Utilized a multi-actuator adaptive lens to correct aberrations in projected patterns for HSPM.
  • Developed a sensor-less aberration correction method using frequency information from the sample's Hadamard spectrum.
  • Validated the approach by correcting both optical system and sample-induced aberrations.

Main Results:

  • Achieved aberration-free HSPM operation through adaptive optics and a novel sensor-less correction method.
  • Demonstrated near-diffraction-limit resolution by correcting optical and sample-induced aberrations.
  • Validated the effectiveness of the proposed framework for HSPM enhancement.

Conclusions:

  • The developed adaptive optics and sensor-less correction method significantly enhance HSPM performance.
  • This work provides a robust framework for achieving high-resolution imaging with single-pixel microscopy.
  • The findings pave the way for broader applications of advanced computational imaging techniques.