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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Updated: Sep 11, 2025

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Hybrid phase unwrapping algorithm based on a quality graph.

Yu Zhang, Zhenglong Zhang, Yongjian Zhu

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    |August 12, 2025
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    Summary
    This summary is machine-generated.

    This study introduces BgCQuality, a novel quality map for phase unwrapping in 3D reconstruction. It improves accuracy and noise suppression, leading to more precise 3D models.

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    Area of Science:

    • Optics and Photonics
    • Computer Vision
    • Metrology

    Background:

    • Structured light 3D reconstruction faces speed and precision challenges.
    • Phase unwrapping accuracy is critical for 3D model fidelity.
    • Existing algorithms struggle with noise and achieving absolute phase.

    Purpose of the Study:

    • To develop an improved quality map for phase unwrapping.
    • To introduce a hybrid algorithm for enhanced 3D reconstruction accuracy.
    • To address limitations in noise suppression and phase discontinuity handling.

    Main Methods:

    • Integration of central curl and modulation information into a novel BgCQuality map.
    • Development of a hybrid phase unwrapping algorithm combining quality-guided flood-fill and plane-fitting.
    • Adaptive application of unwrapping methods based on regional quality characteristics.

    Main Results:

    • The BgCQuality map shows heightened sensitivity to phase discontinuities and noise.
    • The hybrid algorithm achieved a mean square error as low as 0.0008.
    • Accuracy error was reduced by 0.084 compared to conventional methods.

    Conclusions:

    • The novel BgCQuality map enhances phase unwrapping robustness.
    • The hybrid algorithm significantly improves 3D reconstruction accuracy and precision.
    • This approach offers a more reliable solution for challenging 3D reconstruction tasks.