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Improved algorithm for phase-to-height mapping in phase measuring profilometry.

Yanshan Xiao1, Yiping Cao, Yingchun Wu

  • 1Department of Opto-electronics Science and Technology, Sichuan University, Chengdu, China.

Applied Optics
|March 14, 2012
PubMed
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A new phase-to-height mapping algorithm enhances phase-measuring profilometry (PMP) by removing the orthogonal axis restriction. This method simplifies calibration using fewer standards, enabling faster and more flexible 3-D measurements.

Area of Science:

  • Metrology
  • Optical Measurement
  • 3-D Imaging

Background:

  • Phase-measuring profilometry (PMP) traditionally requires optical axes orthogonal to the reference plane for phase-to-height mapping.
  • Existing calibration methods often necessitate multiple standard planes, increasing complexity and time.

Purpose of the Study:

  • To develop an improved algorithm for phase-to-height mapping in PMP.
  • To overcome the limitations of traditional PMP by removing the orthogonal axis constraint.
  • To simplify and accelerate the system calibration process.

Main Methods:

  • A novel algorithm for phase-to-height mapping is proposed.
  • The algorithm requires calibration of only seven system-independent coefficients.
  • System calibration is achieved using just two different gauge blocks.

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Last Updated: May 24, 2026

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Main Results:

  • The phase-to-height mapping is no longer restricted by the orthogonality of optical axes.
  • Calibration is simplified, requiring fewer standard planes.
  • Simultaneous phase measurement and system calibration are possible.

Conclusions:

  • The proposed algorithm offers a more flexible and faster approach to 3-D measurement using PMP.
  • Experimental validation confirms the feasibility and effectiveness of the new method.
  • This advancement reduces calibration complexity and measurement time in optical metrology.