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- Title
An Improved Circular Fringe Fourier Transform Profilometry.
- Authors
Chen, Qili; Han, Mengqi; Wang, Ye; Chen, Wenjing
- Abstract
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.
- Subjects
FOURIER transforms; COORDINATE transformations; MATHEMATICAL models; LINEAR equations; QUADRATIC equations; GRAY codes
- Publication
Sensors (14248220), 2022, Vol 22, Issue 16, p6048
- ISSN
1424-8220
- Publication type
Article
- DOI
10.3390/s22166048