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Application of generalized grating imaging to pattern projection in three-dimensional profilometry.

Koichi Iwata1, Yusuke Sando, Kazuo Satoh

  • 1Lumino, Kawachi-Nagano, Osaka, Japan. k‐iwata@hkg.odn.ne.jp

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This study applies one-dimensional grating theory to pattern projection profilometry, optimizing conditions for high-contrast grating images. The simplified theory provides approximate results for hexagonal gratings, useful for 3D object profiling.

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Area of Science:

  • Optics and Photonics
  • Metrology
  • Computer Vision

Background:

  • Pattern projection profilometry is a key technique for 3D surface measurement.
  • Accurate grating image contrast is crucial for reliable profilometry results.
  • Existing theories for 2D gratings are complex, hindering practical system design.

Purpose of the Study:

  • To adapt generalized grating imaging theory for a 1D grating in pattern projection systems.
  • To determine optimal conditions for high-contrast grating image projection.
  • To evaluate the applicability of 1D grating theory for 2D hexagonal gratings in profilometry.

Main Methods:

  • Applied generalized 1D grating imaging theory to a pattern projection system.
  • Calculated projected grating image contrast under various environmental conditions.
  • Constructed and experimentally validated a projection system using 2D hexagonal gratings based on 1D theory.

Main Results:

  • Identified conditions conducive to achieving high-contrast grating images in large spaces.
  • Experimental results with 2D hexagonal gratings showed approximate agreement with 1D theoretical calculations.
  • Demonstrated the potential of 1D theory for estimating the behavior of hexagonal gratings.

Conclusions:

  • The simplified 1D grating theory offers a practical approach for designing pattern projection systems.
  • This method can be used for approximate analysis and optimization of hexagonal grating behavior in profilometry.
  • The developed system shows potential for profiling complex objects like mannequins and human bodies.