Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry
Phase-measuring profilometry (PMP) is increasingly applied in high-accuracy three-dimensional shape measurement. However, various factors may result in the uncertainty of phase shift values in the PMP system, and phase errors induced by actual phase shift often bring about the reconstruction failure...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
|
| Series: | Photonics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2304-6732/10/2/207 |
| _version_ | 1797618648382177280 |
|---|---|
| author | Xin Lai Yueyang Li Xunren Li Zhengdong Chen Qican Zhang |
| author_facet | Xin Lai Yueyang Li Xunren Li Zhengdong Chen Qican Zhang |
| author_sort | Xin Lai |
| collection | DOAJ |
| description | Phase-measuring profilometry (PMP) is increasingly applied in high-accuracy three-dimensional shape measurement. However, various factors may result in the uncertainty of phase shift values in the PMP system, and phase errors induced by actual phase shift often bring about the reconstruction failure of a measured object. A quadratic phase estimation method using the extended Kalman filter is proposed to remove the phase error introduced by uncertain phase shift. After eliminating the background and fringe modulation, the state estimation is employed to evaluate the quadratic phase coefficients in a selected mask window, and the phase shifts of adjacent fringe patterns can be estimated to compute the unwrapping phase. This paper presents a novel method for improving the accuracy of the PMP system influenced by phase shift errors, and the proposed region-wise method significantly enhances the reconstruction quality and efficiency. Experimental results show that the proposed algorithm effectively evaluates the actual phase shift and directly compensates the phase error, and has the advantages of high speed, high accuracy, and robustness. |
| first_indexed | 2024-03-11T08:15:30Z |
| format | Article |
| id | doaj.art-0e636723a5ef472a90da1bf94c065a90 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-11T08:15:30Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-0e636723a5ef472a90da1bf94c065a902023-11-16T22:45:50ZengMDPI AGPhotonics2304-67322023-02-0110220710.3390/photonics10020207Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring ProfilometryXin Lai0Yueyang Li1Xunren Li2Zhengdong Chen3Qican Zhang4College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, ChinaCollege of Electronics and Information Engineering, Sichuan University, Chengdu 610065, ChinaCollege of Electronics and Information Engineering, Sichuan University, Chengdu 610065, ChinaCollege of Electronics and Information Engineering, Sichuan University, Chengdu 610065, ChinaCollege of Electronics and Information Engineering, Sichuan University, Chengdu 610065, ChinaPhase-measuring profilometry (PMP) is increasingly applied in high-accuracy three-dimensional shape measurement. However, various factors may result in the uncertainty of phase shift values in the PMP system, and phase errors induced by actual phase shift often bring about the reconstruction failure of a measured object. A quadratic phase estimation method using the extended Kalman filter is proposed to remove the phase error introduced by uncertain phase shift. After eliminating the background and fringe modulation, the state estimation is employed to evaluate the quadratic phase coefficients in a selected mask window, and the phase shifts of adjacent fringe patterns can be estimated to compute the unwrapping phase. This paper presents a novel method for improving the accuracy of the PMP system influenced by phase shift errors, and the proposed region-wise method significantly enhances the reconstruction quality and efficiency. Experimental results show that the proposed algorithm effectively evaluates the actual phase shift and directly compensates the phase error, and has the advantages of high speed, high accuracy, and robustness.https://www.mdpi.com/2304-6732/10/2/207phase-measuring profilometryuncertain phase shiftstate estimationphase retrieval |
| spellingShingle | Xin Lai Yueyang Li Xunren Li Zhengdong Chen Qican Zhang Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry Photonics phase-measuring profilometry uncertain phase shift state estimation phase retrieval |
| title | Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry |
| title_full | Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry |
| title_fullStr | Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry |
| title_full_unstemmed | Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry |
| title_short | Estimation Method Based on Extended Kalman Filter for Uncertain Phase Shifts in Phase-Measuring Profilometry |
| title_sort | estimation method based on extended kalman filter for uncertain phase shifts in phase measuring profilometry |
| topic | phase-measuring profilometry uncertain phase shift state estimation phase retrieval |
| url | https://www.mdpi.com/2304-6732/10/2/207 |
| work_keys_str_mv | AT xinlai estimationmethodbasedonextendedkalmanfilterforuncertainphaseshiftsinphasemeasuringprofilometry AT yueyangli estimationmethodbasedonextendedkalmanfilterforuncertainphaseshiftsinphasemeasuringprofilometry AT xunrenli estimationmethodbasedonextendedkalmanfilterforuncertainphaseshiftsinphasemeasuringprofilometry AT zhengdongchen estimationmethodbasedonextendedkalmanfilterforuncertainphaseshiftsinphasemeasuringprofilometry AT qicanzhang estimationmethodbasedonextendedkalmanfilterforuncertainphaseshiftsinphasemeasuringprofilometry |