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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MDPI AG
2023-06-01
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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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institution | Directory Open Access Journal |
issn | 2072-666X |
language | English |
last_indexed | 2024-03-11T02:07:55Z |
publishDate | 2023-06-01 |
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series | Micromachines |
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 |