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Related Concept Videos

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
879
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

702
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
702
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

753
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
753
Absolute Motion Analysis- General Plane Motion01:24

Absolute Motion Analysis- General Plane Motion

536
Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
As the drone's propellers rotate, an upward force is generated that counteracts the force of gravity, enabling the drone to lift off from the ground. This initial movement of the drone is along a straight path, representing a form of translational motion. In this phase, every point on the...
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Relative Motion Analysis - Acceleration01:10

Relative Motion Analysis - Acceleration

814
A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
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Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

691
A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...
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Updated: Jan 15, 2026

Movement Retraining using Real-time Feedback of Performance
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Self-Navigated, Retrospective, Data-Consistent Motion Correction for MPnRAGE.

John Podczerwinski1, Andrew L Alexander1,2,3, Brittany G Travers1,4

  • 1Waisman Center, University of Wisconsin-Madison, Madison, Wisconsin, USA.

Magnetic Resonance in Medicine
|October 13, 2025
PubMed
Summary
This summary is machine-generated.

This study presents an automated motion correction method for 3D radial T1-weighted imaging, significantly improving image quality and test-retest reliability of cortical thickness measures, especially in pediatric subjects. The advanced technique enhances data consistency for better diagnostic accuracy.

Keywords:
MPnRAGET1‐weightedk‐spacemotion correctionradial

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Area of Science:

  • Medical Imaging
  • Neuroimaging
  • Biomedical Engineering

Background:

  • Motion artifacts are a significant challenge in 3D radial T1-weighted MRI, potentially compromising image quality and diagnostic accuracy.
  • Existing motion correction methods may lack automation or struggle with diverse motion types and severities.

Purpose of the Study:

  • To extend and automate a data-consistent, self-navigated motion-correction method for 3D radial T1-weighted imaging.
  • To evaluate the method's effectiveness across various motion scenarios and its impact on test-retest reliability of neuroimaging measures.

Main Methods:

  • Incorporated rigid-body motion into the forward model, solving for motion parameters to maximize data consistency.
  • Tested the automated method on diverse datasets, assessing image quality improvements and effects on cortical thickness reliability.
  • Utilized error-based weighting and fine-scale timing resolution for enhanced motion correction.

Main Results:

  • Achieved significant image quality improvements across a wide range of motion types, salvaging previously unusable scans.
  • Demonstrated substantial enhancement in test-retest reliability for cortical thickness measures in pediatric subjects.
  • Reduced average coefficient of variation for cortical thickness from 2.73% to as low as 0.79% with the correction method.

Conclusions:

  • The automated motion correction method is effective for T1-weighted radial data, offering both qualitative and quantitative benefits.
  • The technique's fine-scale timing resolution and error-based weighting are particularly advantageous for motion-prone populations or studies requiring high sensitivity to small effect sizes.