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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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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
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Greedy Batch-Based Minimum-Cost Flows for Tracking Multiple Objects.

Xinchao Wang, Bin Fan, Shiyu Chang

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    |July 11, 2017
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    Summary
    This summary is machine-generated.

    This study introduces a greedy batch-based minimum-cost flow method for multi-object tracking. It jointly optimizes consecutive batches, improving trajectory accuracy and reducing errors in real-time applications.

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    Area of Science:

    • Computer Vision
    • Artificial Intelligence
    • Algorithm Design

    Background:

    • Minimum-cost flow (MCF) algorithms excel in multi-object tracking but require full image sequences.
    • Real-time and distributed tracking often use batch processing, leading to error propagation due to decoupled tracking and stitching.
    • Existing batch-based methods struggle with correcting errors across batch boundaries.

    Purpose of the Study:

    • To develop a greedy batch-based minimum-cost flow approach for robust multi-object tracking.
    • To address the limitations of sequential batch processing in current tracking systems.
    • To improve the accuracy and reliability of tracking in real-time and distributed environments.

    Main Methods:

    • A generalized minimum-cost flows (MCF) algorithm is applied to individual batches to generate probable and low-probability trajectories.
    • Consecutive batches are jointly optimized, allowing tracking results from one batch to inform and correct another.
    • A second application of the generalized MCF algorithm establishes optimal matching between trajectories across batches.

    Main Results:

    • The proposed approach effectively integrates tracking across batch boundaries, mitigating error propagation.
    • Joint optimization of consecutive batches leads to more accurate and complete object trajectories.
    • The method demonstrates strong performance across diverse datasets without requiring model training.

    Conclusions:

    • The greedy batch-based MCF approach offers a simple yet effective solution for multi-object tracking.
    • Joint optimization of batches significantly enhances tracking accuracy compared to sequential methods.
    • This method provides a robust and adaptable solution for real-time and distributed tracking scenarios.