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Model-free 3D localization with precision estimates for brightfield-imaged particles.

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    Area of Science:

    • Microscopy
    • Optical Physics
    • Biophysics

    Background:

    • Volumetric imaging and 3D particle tracking are crucial in microscopy for applications like in situ fluorescent imaging and colloidal system analysis.
    • Existing tracking routines primarily focus on fluorescent imaging, with fewer options for bright-field illumination.

    Purpose of the Study:

    • To develop and present a simple, adaptable 3D tracking strategy for particles imaged with bright-field microscopy.
    • To introduce image processing algorithms for high-precision localization and statistical accuracy estimation.

    Main Methods:

    • A look-up-table (LUT) based 3D tracking strategy adaptable to wide-field microscopes.
    • Two image processing algorithms: a symmetry-based lateral (XY) tracking routine and a depth localization routine using Mie scattering patterns matched to a pre-recorded LUT.
    • The methods are designed for tolerance to high image noise and provide confidence intervals for accuracy.

    Main Results:

    • Lateral tracking achieves accuracy better than 0.01 pixels at low noise levels (signal:noise > 1000) by relying on particle symmetry.
    • Depth localization offers better than 0.05 step accuracy through optimal interpolation between LUT entries.
    • Both routines maintain sub-pixel/step accuracy with signal-to-noise ratios as low as 1 and support real-time analysis at high frame rates.

    Conclusions:

    • The presented 3D bright-field particle tracking strategy provides a robust and accurate solution for microscopy.
    • The developed algorithms are efficient, adaptable, and suitable for real-time analysis across various scientific disciplines.
    • This work addresses a gap in published routines for bright-field particle tracking, enhancing capabilities in colloidal and single-molecule analysis.