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Related Concept Videos

Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Plotting of Topographic Maps01:29

Plotting of Topographic Maps

Topographic maps represent the Earth's surface features using contour lines, which connect points of equal elevation to create a two-dimensional representation of three-dimensional terrain. Creating a topographic map requires a systematic approach.Begin by plotting a scaled grid and marking intersections corresponding to the survey's elevation data points. Assign elevation values at these intersections to build the base map. Next, determine contour levels using a consistent contour interval,...
Multimachine Stability01:25

Multimachine Stability

Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Methods of Obtaining Topography01:25

Methods of Obtaining Topography

Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
Orthogonal Trajectories01:26

Orthogonal Trajectories

Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
Topographic Surveying and Contours01:29

Topographic Surveying and Contours

Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...

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Related Experiment Video

Updated: May 23, 2026

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)
12:26

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)

Published on: October 11, 2016

Enhanced Spatial Stability with Hilbert and Moore Treemaps.

Susanne Tak, Andy Cockburn

    IEEE Transactions on Visualization and Computer Graphics
    |April 18, 2012
    PubMed
    Summary

    This study introduces a new location drift metric to better measure spatial stability in treemaps, outperforming the common distance change metric. New Hilbert and Moore treemap algorithms demonstrate high spatial stability.

    Area of Science:

    • Computer Science
    • Data Visualization
    • Human-Computer Interaction

    Background:

    • Treemaps are effective for visualizing hierarchical data using space-filling techniques.
    • Existing treemap algorithms aim to optimize performance, including spatial stability for user assistance.
    • Current spatial stability metrics may not fully capture user experience.

    Purpose of the Study:

    • To introduce a new metric, location drift (LD), for a more comprehensive assessment of treemap spatial stability.
    • To evaluate the validity and utility of the LD metric compared to the traditional distance change (DC) metric.
    • To develop and assess novel treemap algorithms designed for enhanced spatial stability.

    Main Methods:

    • Introduction of the location drift (LD) metric to quantify spatial stability in treemaps.

    Related Experiment Videos

    Last Updated: May 23, 2026

    Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)
    12:26

    Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)

    Published on: October 11, 2016

  • Empirical study to validate the LD metric and compare its explanatory power against the distance change (DC) metric.
  • Development of new treemap algorithms, specifically Hilbert and Moore, prioritizing high spatial stability.
  • Main Results:

    • The study demonstrates that the commonly used distance change (DC) metric inadequately captures spatial stability.
    • The new location drift (LD) metric shows improved ability to explain user performance variations.
    • The proposed Hilbert and Moore treemap algorithms exhibit strong performance across all evaluated spatial stability metrics.

    Conclusions:

    • The location drift metric offers a more accurate and useful measure of treemap spatial stability than distance change.
    • Novel Hilbert and Moore treemap algorithms provide significant improvements in spatial stability.
    • These advancements contribute to more effective and user-friendly hierarchical data visualization.