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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...
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...
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...
Absolute Motion Analysis- General Plane Motion01:24

Absolute Motion Analysis- General Plane Motion

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 drone...
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

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...

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Related Experiment Video

Updated: May 30, 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

High temporal resolution retrospective motion correction with radial parallel imaging.

Wei Lin1, Feng Huang, George R Duensing

  • 1Invivo Corporation, Philips Healthcare, Gainesville, FL, USA. wei.lin2@philips.com

Magnetic Resonance in Medicine
|August 16, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a novel motion correction method for multicoil MRI using a bit-reversed radial acquisition and the GROWL technique. This approach achieves high temporal resolution motion correction without extending scan times.

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Human Fetal Blood Flow Quantification with Magnetic Resonance Imaging and Motion Compensation
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Human Fetal Blood Flow Quantification with Magnetic Resonance Imaging and Motion Compensation

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Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography
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Human Fetal Blood Flow Quantification with Magnetic Resonance Imaging and Motion Compensation
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Human Fetal Blood Flow Quantification with Magnetic Resonance Imaging and Motion Compensation

Published on: January 7, 2021

Area of Science:

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

Background:

  • Motion artifacts degrade image quality in multicoil MRI.
  • Accurate motion correction is crucial for reliable diagnostic interpretation.
  • Existing methods may prolong scan times or be incompatible with certain sequences.

Purpose of the Study:

  • To develop and evaluate a novel method for high temporal resolution motion correction in multicoil MRI.
  • To integrate motion correction into both data acquisition and reconstruction phases.
  • To offer an alternative to navigator-based methods that avoids increasing scan duration.

Main Methods:

  • Employed a bit-reversed radial acquisition scheme.
  • Utilized the Generalized auto-calibrating partial parallel acquisition (GRAPPA) operator for wider radial bands (GROWL) method.
  • Implemented view-by-view in-plane motion correction for 2D and slice-based 3D motion correction.

Main Results:

  • The GROWL technique generated a motion-free reference from central k-space data.
  • Undersampled k-space regions caused by motion were effectively filled.
  • Achieved high temporal resolution motion correction without prolonging scan time.

Conclusions:

  • The proposed method enables efficient motion correction in multicoil MRI.
  • It integrates acquisition and reconstruction for improved motion artifact management.
  • This technique is suitable for short-TR sequences and offers advantages over navigator-based approaches.