An Improved Circular Fringe Fourier Transform Profilometry
Circular fringe projection profilometry (CFPP), as a branch of carrier fringe projection profilometry, has attracted research interest in recent years. Circular fringe Fourier transform profilometry (CFFTP) has been used to measure out-of-plane objects quickly because the absolute phase can be obtai...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/16/6048 |
| _version_ | 1797431687515209728 |
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| author | Qili Chen Mengqi Han Ye Wang Wenjing Chen |
| author_facet | Qili Chen Mengqi Han Ye Wang Wenjing Chen |
| author_sort | Qili Chen |
| collection | DOAJ |
| description | Circular fringe projection profilometry (CFPP), as a branch of carrier fringe projection profilometry, has attracted research interest in recent years. Circular fringe Fourier transform profilometry (CFFTP) has been used to measure out-of-plane objects quickly because the absolute phase can be obtained by employing fewer fringes. However, the existing CFFTP method needs to solve a quadratic equation to calculate the pixel displacement amount related to the height of the object, in which the root-seeking process may get into trouble due to the phase error and the non-uniform period of reference fringe. In this paper, an improved CFFTP method based on a non-telecentric model is presented. The calculation of displacement amount is performed by solving a linear equation instead of a quadratic equation after introducing an extra projection of circular fringe with circular center translation. In addition, Gerchberg iteration is employed to eliminate phase error of the region close to the circular center, and the plane calibration technique is used to eliminate system error by establishing a displacement-to-height look-up table. The mathematical model and theoretical analysis are presented. Simulations and experiments have demonstrated the effectiveness of the proposed method. |
| first_indexed | 2024-03-09T09:49:55Z |
| format | Article |
| id | doaj.art-58cff8e997fc4f998222c0f08d7d601a |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-09T09:49:55Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-58cff8e997fc4f998222c0f08d7d601a2023-12-02T00:16:43ZengMDPI AGSensors1424-82202022-08-012216604810.3390/s22166048An Improved Circular Fringe Fourier Transform ProfilometryQili Chen0Mengqi Han1Ye Wang2Wenjing Chen3Department of Opto-Electronics, Sichuan University, Chengdu 610065, ChinaDepartment of Opto-Electronics, Sichuan University, Chengdu 610065, ChinaDepartment of Opto-Electronics, Sichuan University, Chengdu 610065, ChinaDepartment of Opto-Electronics, Sichuan University, Chengdu 610065, ChinaCircular fringe projection profilometry (CFPP), as a branch of carrier fringe projection profilometry, has attracted research interest in recent years. Circular fringe Fourier transform profilometry (CFFTP) has been used to measure out-of-plane objects quickly because the absolute phase can be obtained by employing fewer fringes. However, the existing CFFTP method needs to solve a quadratic equation to calculate the pixel displacement amount related to the height of the object, in which the root-seeking process may get into trouble due to the phase error and the non-uniform period of reference fringe. In this paper, an improved CFFTP method based on a non-telecentric model is presented. The calculation of displacement amount is performed by solving a linear equation instead of a quadratic equation after introducing an extra projection of circular fringe with circular center translation. In addition, Gerchberg iteration is employed to eliminate phase error of the region close to the circular center, and the plane calibration technique is used to eliminate system error by establishing a displacement-to-height look-up table. The mathematical model and theoretical analysis are presented. Simulations and experiments have demonstrated the effectiveness of the proposed method.https://www.mdpi.com/1424-8220/22/16/60483D surface measurementcircular fringe projectionco-ordinate transformationFourier transform profilometry |
| spellingShingle | Qili Chen Mengqi Han Ye Wang Wenjing Chen An Improved Circular Fringe Fourier Transform Profilometry Sensors 3D surface measurement circular fringe projection co-ordinate transformation Fourier transform profilometry |
| title | An Improved Circular Fringe Fourier Transform Profilometry |
| title_full | An Improved Circular Fringe Fourier Transform Profilometry |
| title_fullStr | An Improved Circular Fringe Fourier Transform Profilometry |
| title_full_unstemmed | An Improved Circular Fringe Fourier Transform Profilometry |
| title_short | An Improved Circular Fringe Fourier Transform Profilometry |
| title_sort | improved circular fringe fourier transform profilometry |
| topic | 3D surface measurement circular fringe projection co-ordinate transformation Fourier transform profilometry |
| url | https://www.mdpi.com/1424-8220/22/16/6048 |
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