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Parallel-axis Theorem01:06

Parallel-axis Theorem

The parallel-axis theorem provides a convenient and quick method of finding the moment of inertia of an object about an axis parallel to the axis passing through its center of mass. Consider a thin rod as an example. There is a striking similarity between the process of finding the moment of inertia of a thin rod about an axis through its middle, where the center of mass lies, and about an axis through its end using the conventional method. In the conventional method, the concept of linear mass...
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In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
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The perpendicular-axis theorem states that the moment of inertia of a planar object about an axis perpendicular to its plane is equal to the sum of the moments of inertia about two mutually perpendicular concurrent axes lying in the plane of the body.
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The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
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The brain processes sensory information rapidly due to parallel processing, which involves sending data across multiple neural pathways at the same time. This method allows the brain to manage various sensory qualities, such as shapes, colors, movements, and locations, all concurrently. For instance, when observing a forest landscape, the brain simultaneously processes the movement of leaves, the shapes of trees, the depth between them, and the various shades of green. This enables a quick and...

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A Methodology for Capturing Joint Visual Attention Using Mobile Eye-Trackers
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Published on: January 18, 2020

Adaptive privacy-preserving visualization using parallel coordinates.

Aritra Dasgupta1, Robert Kosara

  • 1UNC-Charlotte, USA. adasgupt@uncc.edu

IEEE Transactions on Visualization and Computer Graphics
|October 29, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces an adaptive privacy-preserving technique for parallel coordinates visualizations. It balances data utility and privacy by on-the-fly clustering, adapting to user interaction and screen parameters.

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Area of Science:

  • Computer Science
  • Data Mining
  • Information Visualization

Background:

  • Information visualization often assumes unrestricted data access, posing privacy challenges for sensitive datasets like medical records.
  • Existing privacy-preserving data publishing methods often reduce data utility significantly for even minimal privacy guarantees.

Purpose of the Study:

  • To propose an adaptive privacy preservation technique for parallel coordinates visualizations.
  • To enable exploration of sensitive data without compromising privacy or significantly reducing data utility.

Main Methods:

  • Developed an adaptive technique for privacy preservation in parallel coordinates.
  • Implemented on-the-fly data clustering based on data sensitivity.
  • Utilized screen-space privacy metrics to adapt to user interaction and display parameters.

Main Results:

  • Demonstrated a case study showcasing the proposed technique.
  • The method allows for data exploration while maintaining privacy.
  • The adaptive approach aims to preserve data utility.

Conclusions:

  • The proposed adaptive technique offers a novel approach to privacy preservation in information visualization.
  • It effectively balances data utility and privacy concerns in parallel coordinates.
  • Further analysis of potential attack scenarios is discussed.