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Updated: Dec 18, 2025

Determining 3D Flow Fields via Multi-camera Light Field Imaging
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Extending epipolar geometry for real-time structured light illumination.

Kai Liu, Kangkang Zhang, Jinghe Wei

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    This study introduces phase and optical poles for real-time 3D reconstruction, significantly reducing lookup table computation time and memory usage. This method enhances processing speed for 3D point clouds with robust accuracy.

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    Area of Science:

    • Computer Vision
    • 3D Reconstruction
    • Optical Metrology

    Background:

    • Structured light illumination is crucial for accurate 3D reconstruction.
    • Previous real-time 3D reconstruction methods relied on offline-derived lookup tables, which were computationally intensive and memory-demanding.
    • The exact derivation of these lookup tables from camera and projector calibration matrices was not fully understood.

    Purpose of the Study:

    • To develop a novel method for real-time 3D reconstruction using structured light.
    • To accelerate the generation of lookup tables and reduce their memory footprint.
    • To improve the processing speed of 3D point cloud generation.

    Main Methods:

    • Parameterizing 3D world coordinates into camera and projector spaces using perspectively mapped lines.
    • Defining phase and optical poles to extend epipolar geometry analysis.
    • Deriving analytic closed-form equations for geometric parameter addressing.

    Main Results:

    • Lookup tables can now be directly derived in real-time from calibration matrices.
    • The number of required lookup tables is optimally reduced from 11 to 5.
    • Lookup table computation time reduced from over 20 minutes to 20 milliseconds.
    • Point cloud computation speed increased from approximately 320 fps to 492 fps.

    Conclusions:

    • The proposed method enables efficient real-time 3D reconstruction with structured light.
    • Significant reductions in computation time and memory usage are achieved.
    • The approach maintains robust accuracy while enhancing processing rates.