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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...
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Related Experiment Video

Updated: Jan 18, 2026

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery
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A Stereo Synchronization Method for Consumer-Grade Video Cameras to Measure Multi-Target 3D Displacement Using Image

Mearge Kahsay Seyfu1, Yuan-Sen Yang1

  • 1Department of Civil Engineering, National Taipei University of Technology, No. 1, Sec. 3, Zhongxiao E. Rd., Daan Dist., Taipei 10608, Taiwan.

Sensors (Basel, Switzerland)
|September 13, 2025
PubMed
Summary

This study introduces an image-based method to precisely synchronize consumer cameras for 3D displacement measurements in civil engineering. The technique significantly reduces errors in shake table experiments, enabling accurate, low-cost structural dynamics research.

Keywords:
3D displacementaccuracyimage processingshake tablesoftwaresynchronization

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Area of Science:

  • Civil Engineering
  • Computer Vision
  • Structural Dynamics

Background:

  • Consumer-grade cameras offer a cost-effective solution for non-contact 3D displacement measurement in civil engineering.
  • Accurate temporal alignment of unsynchronized cameras is crucial for precise 3D coordinate acquisition.
  • Existing frame-level synchronization methods are insufficient for high-frequency shake table tests, leading to triangulation errors.

Purpose of the Study:

  • To develop and validate a novel image-based synchronization method for unsynchronized consumer cameras.
  • To improve the accuracy of 3D displacement measurements in high-frequency shake table experiments.
  • To provide a practical, low-cost alternative to expensive vision-based measurement systems.

Main Methods:

  • An image-based synchronization method was developed, estimating time lag by minimizing reprojection errors.
  • Sub-frame accuracy was achieved through polynomial interpolation of estimated time lags.
  • A graphical user interface (GUI)-based software was created for stereo video acquisition during shake table testing.
  • Validation was performed against a high-precision motion capture system (Mocap) in both large- and small-scale experiments.

Main Results:

  • The proposed method reduced the Root Mean Square Error (RMSE) of triangulation by up to 78.79%.
  • Maximum displacement errors were less than 1 mm for small-scale experiments.
  • The RMSE of displacement measurements decreased by 94.21% for small-scale and 62.86% for large-scale experiments.
  • Significant improvements in accuracy were demonstrated compared to existing methods.

Conclusions:

  • The developed image-based synchronization method enables precise 3D displacement measurements using low-cost consumer cameras.
  • This approach is highly effective for high-frequency shake table experiments, overcoming limitations of frame-level synchronization.
  • The method provides a viable and economical alternative for structural dynamics research and civil engineering applications.