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In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
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Next Bit Prediction: A Unified Lossless and Lossy Point Cloud Geometry Compression Framework.

Bojun Liu, Yangzhi Ma, Li Li

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    Summary
    This summary is machine-generated.

    Next Bit Prediction (NBP) offers a unified framework for 3D point cloud compression and reconstruction. This approach uses probability estimation to improve both lossless compression and lossy reconstruction fidelity.

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    Area of Science:

    • Computer Vision
    • 3D Geometry Processing
    • Data Compression

    Background:

    • 3D point clouds are essential for various applications.
    • Efficiently compressing and reconstructing point cloud geometry remains a challenge.
    • Existing methods often optimize for either lossless compression or lossy reconstruction, not both simultaneously.

    Purpose of the Study:

    • To introduce Next Bit Prediction (NBP), a novel framework for unified lossless compression and lossy reconstruction of 3D point clouds.
    • To leverage next-bit probability estimation for enhanced geometric symbol prediction.
    • To achieve state-of-the-art performance in both compression bitrate and reconstruction quality.

    Main Methods:

    • Developed a unified framework (NBP) based on next-bit probability estimation.
    • Introduced a multi-stage Occupancy Probability Estimation (OPE) for significant bits and high-density regions.
    • Proposed a Disentangled Probability Estimation (DPE) module for less significant bits, handling density and residuals.

    Main Results:

    • NBP achieves superior coding efficiency for lossless compression.
    • The framework enables high-fidelity lossy reconstruction through probability-driven refinement.
    • Demonstrated state-of-the-art quantitative and qualitative results across extensive experiments.
    • NBP exhibits low complexity and progressive coding capabilities.

    Conclusions:

    • NBP provides a unified and efficient solution for 3D point cloud geometry processing.
    • Accurate probability estimation is key to simultaneously optimizing lossless compression and lossy reconstruction.
    • The proposed OPE and DPE modules effectively handle varying point densities and bit significance.