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Joint Graph Layouts for Visualizing Collections of Segmented Meshes.

Jing Ren, Jens Schneider, Maks Ovsjanikov

    IEEE Transactions on Visualization and Computer Graphics
    |September 19, 2017
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    Summary

    We developed an efficient method for joint graph layout to visualize segmented mesh collections. This approach enhances spectral graph drawing and metric multi-dimensional scaling for cohesive graph visualization.

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    Area of Science:

    • Computer Graphics
    • Data Visualization
    • Graph Theory

    Background:

    • Visualizing collections of segmented meshes presents challenges in maintaining relationships between components.
    • Existing graph layout algorithms often struggle with joint analysis of multiple related graphs.

    Purpose of the Study:

    • To introduce a novel and efficient algorithm for computing joint graph layouts.
    • To enable effective visualization of collections of segmented meshes by leveraging graph structures.

    Main Methods:

    • A two-stage approach combining extended spectral graph drawing with a consistency term.
    • Extension of metric multi-dimensional scaling with stress majorization for joint layout optimization, initialized by the spectral method.

    Main Results:

    • Successful joint layout computation for collections of graphs derived from segmented meshes.
    • Demonstration of enhanced visualization capabilities through multiple examples.
    • Qualitative and quantitative comparisons validating the approach against prior methods.

    Conclusions:

    • The proposed joint graph layout method offers an efficient and effective solution for visualizing complex mesh collections.
    • The integration of spectral methods and multi-dimensional scaling provides a robust framework for analyzing related graph structures.