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An Improved Circular Fringe Fourier Transform Profilometry.

Qili Chen1, Mengqi Han1, Ye Wang1

  • 1Department of Opto-Electronics, Sichuan University, Chengdu 610065, China.

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Summary
This summary is machine-generated.

This study introduces an improved circular fringe Fourier transform profilometry (CFFTP) method. It simplifies calculations by solving a linear equation, enhancing accuracy for 3D object measurement.

Keywords:
3D surface measurementFourier transform profilometrycircular fringe projectionco-ordinate transformation

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Area of Science:

  • Optical Metrology
  • 3D Surface Measurement
  • Computational Imaging

Background:

  • Circular fringe projection profilometry (CFPP) is a key technique for 3D object measurement.
  • Circular fringe Fourier transform profilometry (CFFTP) offers rapid measurement by obtaining absolute phase with fewer fringes.
  • Existing CFFTP methods face challenges with quadratic equation solving, phase errors, and non-uniform fringe periods.

Purpose of the Study:

  • To present an improved CFFTP method for accurate 3D surface measurement.
  • To overcome limitations of existing CFFTP techniques, particularly concerning calculation complexity and error sources.
  • To enhance the precision and reliability of non-telecentric 3D profilometry.

Main Methods:

  • Developed an improved CFFTP method utilizing a non-telecentric model.
  • Introduced an additional circular fringe projection with center translation to enable linear equation solving for displacement.
  • Employed Gerchberg iteration for phase error correction and plane calibration for system error elimination.

Main Results:

  • The improved method simplifies displacement calculation by solving a linear equation instead of a quadratic one.
  • Phase errors near the circular center are effectively reduced using Gerchberg iteration.
  • Systematic errors are mitigated through plane calibration, creating a displacement-to-height lookup table.

Conclusions:

  • The proposed non-telecentric CFFTP method provides a more robust and accurate approach to 3D surface measurement.
  • The simplification of calculations and error correction techniques lead to improved measurement performance.
  • Simulations and experimental results validate the effectiveness of the enhanced CFFTP technique.