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Related Concept Videos

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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 instrumental in...
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...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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...
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

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.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position with respect to time...
Non-uniform Circular Motion01:22

Non-uniform Circular Motion

In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle. 
For example, such accelerations...
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...

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Related Experiment Video

Updated: Jun 3, 2026

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography
06:09

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography

Published on: March 12, 2021

Iterative motion compensated reconstruction for parallel imaging using an orbital navigator.

Tim Nielsen1, Peter Börnert

  • 1Philips Research Laboratories, Hamburg, Germany. tim.nielsen@philips.com

Magnetic Resonance in Medicine
|April 7, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces navigator-guided motion compensation for segmented MRI scans, significantly reducing motion artifacts. The new method accurately corrects patient translation and rotation during imaging for clearer results.

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Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography
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Published on: March 12, 2021

Three-Dimensional Reconstruction of Orbital Fractures
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Published on: May 16, 2025

Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Medical Imaging
  • Image Reconstruction

Background:

  • Patient motion during MRI scans introduces artifacts, degrading image quality.
  • Segmented imaging techniques are susceptible to motion-induced artifacts due to data acquisition in segments.
  • Accurate motion quantification and compensation are crucial for reliable MRI diagnostics.

Purpose of the Study:

  • To develop and validate a navigator-guided motion compensation technique for segmented Cartesian MRI.
  • To improve the accuracy and robustness of motion parameter extraction from orbital navigator data.
  • To reduce motion-induced artifacts in segmented MRI reconstructions.

Main Methods:

  • Utilized an orbital navigator to quantify in-plane patient motion (translation and rotation) for each scan segment.
  • Developed a robust algorithm to extract motion parameters from navigator data.
  • Implemented an efficient iterative image reconstruction algorithm incorporating navigator information for motion compensation.

Main Results:

  • Demonstrated the feasibility of the navigator-guided motion compensation approach through experiments with phantoms and volunteers.
  • Successfully reduced motion-induced artifacts in segmented turbo spin echo imaging.
  • Validated the accuracy of the motion parameter extraction from orbital navigator data.

Conclusions:

  • The presented navigator-guided motion compensation method effectively mitigates motion artifacts in segmented Cartesian MRI.
  • This technique is applicable to various segmented MRI sequences, including segmented turbo spin echo, magnetization-prepared gradient echo, and EPI.
  • The approach offers a robust solution for improving image quality in motion-sensitive MRI applications.