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In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
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    This study introduces a novel stable treemapping algorithm that enhances visual quality and stability. By using local modifications instead of full recomputations, it offers superior control and performance for visualizing hierarchical data.

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    Area of Science:

    • Computer Science
    • Data Visualization
    • Human-Computer Interaction

    Background:

    • Treemaps are widely used for visualizing hierarchical data, with rectangle aspect ratio and stability being key quality metrics.
    • Existing treemapping algorithms often lack stability, requiring full recomputation upon data changes.

    Purpose of the Study:

    • To present a novel stable treemapping algorithm with high visual quality.
    • To improve stability and visual quality in treemap generation.

    Main Methods:

    • Developed a novel treemapping algorithm utilizing local modifications for layout changes.
    • Introduced a new stability measure for treemaps.
    • Proved that all treemap layouts are reachable via local modifications.

    Main Results:

    • The proposed algorithm achieves high visual quality and stability.
    • Local modifications offer direct control over stability and access to a wider range of layouts.
    • Experiments show superior performance over existing algorithms in visual quality and/or stability.

    Conclusions:

    • The novel algorithm offers a significant advancement in stable treemapping.
    • It provides improved control, visual quality, and stability for hierarchical data visualization.
    • The algorithm demonstrates practical effectiveness on real-world datasets.