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Area of Science:

  • Metrology and Precision Engineering
  • Optical Measurement Techniques

Background:

  • Three-dimensional (3D) surface geometry is crucial in science and engineering.
  • Fringe Projection Profilometry (FPP) is a high-precision, non-contact 3D measurement technique.
  • Current FPP precision evaluation is experimental, lacking a theoretical foundation.

Purpose of the Study:

  • To develop the first complete theoretical precision model chain for FPP.
  • To establish a connection between camera electronics and phase precision.
  • To provide explicit representation of 3D geometry measurement precision.

Main Methods:

  • Developed a four-stage precision model chain (camera intensity, fringe intensity, phase, 3D geometry).
  • Incorporated two transfer models (fringe intensity to phase, phase to 3D geometry).
  • Utilized a non-Gaussian camera noise model to link camera parameters to phase precision.

Main Results:

  • Established a complete FPP precision model for characterizing existing systems.
  • Formulated phase-to-geometry transfer for explicit precision representation.
  • Identified the highest possible precision limit to guide future FPP system design.

Conclusions:

  • The theoretical models enable FPP to be a more designable technique.
  • The models address diverse measurement demands across different scales (macro to micro).
  • This work guides the optimization of FPP systems for specific precision requirements.