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Comparison of the squared binary, sinusoidal pulse width modulation, and optimal pulse width modulation methods for

Yajun Wang1, Song Zhang

  • 1Department of Mechanical Engineering, Iowa State University, Ames, Iowa 50011, USA.

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The optimal pulse width modulation (OPWM) technique generally yields the best results for sinusoidal fringe pattern generation, outperforming the sinusoidal pulse width modulation (SPWM) and squared binary defocusing method (SBM). Performance varies under specific conditions.

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Area of Science:

  • Optical metrology
  • 3D measurement technologies
  • Digital fringe projection

Background:

  • Accurate 3D surface reconstruction relies on precise fringe pattern generation.
  • Projector defocusing is a common technique to generate sinusoidal patterns.
  • Phase error directly impacts measurement accuracy in fringe projection profilometry.

Purpose of the Study:

  • To comparatively analyze three sinusoidal fringe pattern generation techniques: squared binary defocusing method (SBM), sinusoidal pulse width modulation (SPWM), and optimal pulse width modulation (OPWM).
  • To evaluate the performance of these methods in the phase domain, focusing on phase error.
  • To validate findings through both simulations and experimental setups.

Main Methods:

  • Detailed explanation of the principles behind SBM, SPWM, and OPWM.
  • Description of optimization procedures tailored for each fringe generation technique.
  • Comparative performance analysis using phase error metrics.

Main Results:

  • Optimal pulse width modulation (OPWM) consistently demonstrates superior performance.
  • Sinusoidal pulse width modulation (SPWM) significantly outperforms the squared binary defocusing method (SBM).
  • All three methods can yield similar results under specific, defined conditions.

Conclusions:

  • OPWM is the recommended technique for high-accuracy sinusoidal fringe pattern generation.
  • The choice of method impacts measurement accuracy, with OPWM offering the best phase error reduction.
  • Understanding the operational conditions is crucial for selecting the optimal fringe generation strategy.