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Related Experiment Video

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High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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Performance analysis of 3-D shape measurement algorithm with a short baseline projector-camera system.

Jianyang Liu1, Youfu Li1

  • 1Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong.

Robotics and Biomimetics
|November 28, 2015
PubMed
Summary

This study introduces a new fringe projection profilometry (FPP) model for 3-D shape measurement, addressing accuracy limitations caused by short baselines in projector-camera systems. The new model offers improved measurement performance and accuracy analysis.

Keywords:
3-D shape measurementBinocular stereovisionFPPProjector-cameraShort baseline

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Area of Science:

  • Optics and Photonics
  • Computer Vision
  • Metrology

Background:

  • Structured light 3-D shape measurement commonly uses a binocular stereovision-like model.
  • This model treats the projector as a camera, enabling unified system calibration and 3-D shape acquisition via triangulation.
  • A significant limitation of this approach is the short baseline problem, which reduces measurement accuracy.

Purpose of the Study:

  • To present a novel projecting-imaging model for fringe projection profilometry (FPP).
  • To establish a rigorous mathematical relationship between object surface height, phase difference map, and system parameters.
  • To analyze the impact of parameter uncertainty, especially baseline length, on 3-D measurement accuracy.

Main Methods:

  • Development of a new projecting-imaging model for FPP.
  • Derivation of mathematical relationships for 3-D shape reconstruction.
  • Uncertainty analysis including partial derivatives, relative error, and sensitivity analysis.
  • Monte Carlo simulations to evaluate measurement performance.

Main Results:

  • A rigorous mathematical model linking surface height, phase difference, and setup parameters was derived.
  • Extensive uncertainty analysis quantified the effect of parameter variations on measurement accuracy.
  • Monte Carlo simulations confirmed that projector-camera systems with short baselines exhibit performance limitations.

Conclusions:

  • The proposed FPP model provides a more accurate method for 3-D shape measurement compared to traditional stereovision-like approaches.
  • Understanding and quantifying parameter uncertainty is crucial for optimizing 3-D measurement accuracy.
  • The study highlights the inherent limitations of short baseline projector-camera systems and offers a framework for their analysis.