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Related Concept Videos

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

768
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...
768
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

718
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...
718
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

638
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...
638
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

613
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...
613
Absolute Motion Analysis- General Plane Motion01:24

Absolute Motion Analysis- General Plane Motion

438
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...
438
Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

584
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...
584

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Related Experiment Video

Updated: Dec 11, 2025

Author Spotlight: Characterizing Environmental Biofilm Mechanics Using Optical Coherence Elastography and its Applications in Wastewater Treatment
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Spatial coordinate corrected motion tracking for optical coherence elastography.

Xuan Liu1, Yuwei Liu1, Basil Hubbi2

  • 1Department of Electrical and Computer Engineering, New Jersey Institute of Technology.

Proceedings of Spie--The International Society for Optical Engineering
|August 18, 2020
PubMed
Summary
This summary is machine-generated.

We developed a spatial coordinate corrected motion tracking method for optical coherence elastography. This technique accurately reconstructs tissue displacement, aiding in cancer diagnosis and tumor margin assessment.

Keywords:
algorithmoptical coherence elastographytissue characterization

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Biophysics

Background:

  • Optical Coherence Elastography (OCE) is a promising technique for assessing tissue mechanical properties.
  • Accurate motion tracking is crucial for reliable displacement field reconstruction in OCE.
  • Existing methods may struggle with precise spatial referencing during mechanical testing.

Purpose of the Study:

  • To develop and validate a spatial coordinate corrected (SCC) motion tracking method for Optical Coherence Elastography (OCE).
  • To accurately reconstruct displacement fields in biological tissues under mechanical compression.
  • To assess the utility of SCC-tracked displacement data for cancer diagnosis and tumor margin assessment.

Main Methods:

  • Developed a novel spatial coordinate correction algorithm for motion tracking in OCE.
  • Extracted instantaneous velocity fields from Optical Coherence Tomography (OCT) data.
  • Reconstructed displacement fields using Doppler analysis of OCT data from compression OCE experiments on human breast tissue specimens.

Main Results:

  • The SCC motion tracking method enabled accurate reconstruction of the displacement field.
  • The reconstructed displacement fields revealed mechanical heterogeneity within tissue samples.
  • Identified distinct mechanical signatures correlating with tissue type and potential malignancy.

Conclusions:

  • Spatial coordinate corrected motion tracking significantly improves displacement field accuracy in OCE.
  • Accurate displacement mapping can identify mechanical heterogeneity, a potential biomarker for cancer.
  • This method shows promise for non-invasive cancer diagnosis and precise tumor margin delineation.