Digital defocus aberration interference for automated optical microscopy

California Institute of Technology, *Equal contribution
arXiv, 2025

Abstract

Automation in optical microscopy is critical for enabling high-throughput imaging across a wide range of biomedical applications. Among the essential components of automated systems, robust autofocusing plays a pivotal role in maintaining image quality for both single-plane and volumetric imaging. However, conventional autofocusing methods often struggle with implementation complexity, limited generalizability across sample types, incompatibility with thick specimens, and slow feedback. We recently discovered a phenomenon that the digitally summed Fourier spectrum of two images acquired from two-angle illumination exhibits interference-like fringe modulation when the sample is out-of-focus. These digital fringes correlate directly with defocus through a physics-based relation. Based on this principle, we developed an automatic, efficient, and generalizable defocus detection method termed digital defocus aberration interference (DAbI). Implemented with a simple two-LED setup, DAbI can quantify the defocus distance over a range of 212 times the depth-of-field (DoF) for thin samples and 300 times for thick specimens. It can additionally extend the natural DoF of the imaging system by 20 folds when integrated with complex-field imaging.

Intro Video

This video introduces the principle of DAbI in microscopy autofocusing and digital refocusing.


System Overview

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DAbI's two LED illumination configuration reveals interference-like patterns in the digitally summed intensity spectrum.


Principle of DAbI

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The origin of DAbI fringes from the digital interference of defocus aberration from two illumination angles.

DAbI for autofocusing

Autofocusing is a process that when the sample is out-of-focus, the system can automatically move the sample back to focal plane through mechanical actuation.


Graphic illustration of autofocusing

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Example of DAbI for confocal microscopy autofocusing

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A qualitative comparison of autofocusing methods

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DAbI for digital refocusning

Digital refocusing numerically computes an in-focus image from out-of-focus measurements without any mechanical movements. DAbI can serve as a defocus prior in image reconstructions, thus, it can significantly extend the digital refocusing capability in complex-field imaging.


Graphic illustration of digital refocusing

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Digital refocusing in complex-field imaging

Comparison among brightfield microscopy, APIC (the state-of-the-art method), and DAbI-assisted APIC.


Brightfield
DAbI + APIC
APIC
DAbI + APIC
APIC
DAbI + APIC
APIC
DAbI + APIC

BibTeX

@misc{zhou2025DAbI,
      title={Digital defocus aberration interference for automated optical microscopy}, 
      author={Haowen Zhou and Shi Zhao and Yujie Fan and Zhenyu Dong and Oumeng Zhang and Viviana Gradinaru and Changhuei Yang},
      year={2025},
      eprint={2507.10867},
      archivePrefix={arXiv},
      primaryClass={physics.optics},
      url={https://arxiv.org/abs/2507.10867} 
}