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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...

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Detalles Bibliográficos
Autores principales: Chen, Qili, Han, Mengqi, Wang, Ye, Chen, Wenjing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9416724/
https://www.ncbi.nlm.nih.gov/pubmed/36015809
http://dx.doi.org/10.3390/s22166048
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author Chen, Qili
Han, Mengqi
Wang, Ye
Chen, Wenjing
author_facet Chen, Qili
Han, Mengqi
Wang, Ye
Chen, Wenjing
author_sort Chen, Qili
collection PubMed
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.
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spelling pubmed-94167242022-08-27 An Improved Circular Fringe Fourier Transform Profilometry Chen, Qili Han, Mengqi Wang, Ye Chen, Wenjing Sensors (Basel) Article 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. MDPI 2022-08-12 /pmc/articles/PMC9416724/ /pubmed/36015809 http://dx.doi.org/10.3390/s22166048 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chen, Qili
Han, Mengqi
Wang, Ye
Chen, Wenjing
An Improved Circular Fringe 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 Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9416724/
https://www.ncbi.nlm.nih.gov/pubmed/36015809
http://dx.doi.org/10.3390/s22166048
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