Saturation-Induced Phase Error Compensation Method Using Complementary Phase

Intensity saturation can induce phase error and, thus, measurement error in fringe projection profilometry. To reduce saturation-induced phase errors, a compensation method is developed. The mathematical model of saturation-induced phase errors is analyzed for <i>N</i>-step phase-shiftin...

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Main Authors: Yingying Wan, Yiping Cao, Min Xu, Tao Tang
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/14/6/1258
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author Yingying Wan
Yiping Cao
Min Xu
Tao Tang
author_facet Yingying Wan
Yiping Cao
Min Xu
Tao Tang
author_sort Yingying Wan
collection DOAJ
description Intensity saturation can induce phase error and, thus, measurement error in fringe projection profilometry. To reduce saturation-induced phase errors, a compensation method is developed. The mathematical model of saturation-induced phase errors is analyzed for <i>N</i>-step phase-shifting profilometry, and the phase error is approximately <i>N</i>-folder of the frequency of the projected fringe. Additional <i>N</i>-step phase-shifting fringe patterns with initial phase-shift <i>π</i>/<i>N</i> are projected for generating a complementary phase map. The final phase map is obtained by averaging the original phase map extracted from the original fringe patterns and the complementary phase map, and then the phase error can be canceled out. Both simulations and experiments demonstrated that the proposed method can substantially reduce the saturation-induced phase error and realize accurate measurements for a highly dynamic range of scenarios.
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spelling doaj.art-14b2b88de9e54dc2bd936aff34ff740a2023-11-18T11:40:34ZengMDPI AGMicromachines2072-666X2023-06-01146125810.3390/mi14061258Saturation-Induced Phase Error Compensation Method Using Complementary PhaseYingying Wan0Yiping Cao1Min Xu2Tao Tang3School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, ChinaDepartment of Opto-Electronics, Sichuan University, Chengdu 610064, ChinaSchool of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, ChinaIntensity saturation can induce phase error and, thus, measurement error in fringe projection profilometry. To reduce saturation-induced phase errors, a compensation method is developed. The mathematical model of saturation-induced phase errors is analyzed for <i>N</i>-step phase-shifting profilometry, and the phase error is approximately <i>N</i>-folder of the frequency of the projected fringe. Additional <i>N</i>-step phase-shifting fringe patterns with initial phase-shift <i>π</i>/<i>N</i> are projected for generating a complementary phase map. The final phase map is obtained by averaging the original phase map extracted from the original fringe patterns and the complementary phase map, and then the phase error can be canceled out. Both simulations and experiments demonstrated that the proposed method can substantially reduce the saturation-induced phase error and realize accurate measurements for a highly dynamic range of scenarios.https://www.mdpi.com/2072-666X/14/6/1258three-dimensional measurementfringe projection profilometryphase-shiftingintensity saturationphase error reduction
spellingShingle Yingying Wan
Yiping Cao
Min Xu
Tao Tang
Saturation-Induced Phase Error Compensation Method Using Complementary Phase
Micromachines
three-dimensional measurement
fringe projection profilometry
phase-shifting
intensity saturation
phase error reduction
title Saturation-Induced Phase Error Compensation Method Using Complementary Phase
title_full Saturation-Induced Phase Error Compensation Method Using Complementary Phase
title_fullStr Saturation-Induced Phase Error Compensation Method Using Complementary Phase
title_full_unstemmed Saturation-Induced Phase Error Compensation Method Using Complementary Phase
title_short Saturation-Induced Phase Error Compensation Method Using Complementary Phase
title_sort saturation induced phase error compensation method using complementary phase
topic three-dimensional measurement
fringe projection profilometry
phase-shifting
intensity saturation
phase error reduction
url https://www.mdpi.com/2072-666X/14/6/1258
work_keys_str_mv AT yingyingwan saturationinducedphaseerrorcompensationmethodusingcomplementaryphase
AT yipingcao saturationinducedphaseerrorcompensationmethodusingcomplementaryphase
AT minxu saturationinducedphaseerrorcompensationmethodusingcomplementaryphase
AT taotang saturationinducedphaseerrorcompensationmethodusingcomplementaryphase