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Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
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Measuring the Complete-arch Distortion of an Optical Dental Impression
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SolarView: Low Distortion Radial Embedding with a Focus.

Thom Castermans, Kevin Verbeek, Bettina Speckmann

    IEEE Transactions on Visualization and Computer Graphics
    |August 15, 2018
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    Summary
    This summary is machine-generated.

    We developed a new radial embedding method that preserves distances to a central entity while minimizing distortion among others. This technique, implemented in the SolarView tool, offers effective visualization for complex data.

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    Area of Science:

    • Computer Science
    • Data Visualization
    • Information Visualization

    Background:

    • High-dimensional data visualization presents challenges in preserving relationships and minimizing distortion.
    • Existing dimensionality reduction techniques often struggle with maintaining accurate distances, especially for specific entities of interest.

    Purpose of the Study:

    • To introduce a novel radial embedding technique focused on preserving distances to a central entity.
    • To develop an interactive tool, SolarView, for exploring high-dimensional data using this embedding.
    • To compare the proposed embedding method against state-of-the-art techniques in terms of distortion and effectiveness.

    Main Methods:

    • A novel radial embedding algorithm was designed, prioritizing near-exact distances to a focus entity.
    • The SolarView tool was created, featuring a "solar system" layout with concentric circles for neighbor embedding.
    • The new embedding and adapted state-of-the-art methods were implemented and experimentally evaluated.
    • Interaction techniques were incorporated into SolarView to aid users in judging visualization distortion.

    Main Results:

    • The proposed radial embedding method demonstrates competitive performance against state-of-the-art techniques.
    • The embedding achieves low distortion in practice, particularly when adhering to the solar system design.
    • Experimental evaluation confirmed the method's ability to preserve distances to the focus entity effectively.
    • Interaction techniques provide clear visual cues for assessing distortion levels.

    Conclusions:

    • The novel radial embedding approach offers a viable alternative for visualizing high-dimensional data, especially when focusing on a central entity.
    • SolarView provides an effective interactive environment for exploring complex datasets like bibliographic similarities.
    • While effective, users should be aware of potential distortion inherent in dimensionality reduction, which SolarView helps to mitigate through interaction.