Please use this identifier to cite or link to this item: https://doi.org/10.1364/JOSAA.23.000435
Title: Carrier phase component removal: A generalized least-squares approach
Authors: Chen, L.
Tay, C.-J. 
Issue Date: Feb-2006
Source: Chen, L., Tay, C.-J. (2006-02). Carrier phase component removal: A generalized least-squares approach. Journal of the Optical Society of America A: Optics and Image Science, and Vision 23 (2) : 435-443. ScholarBank@NUS Repository. https://doi.org/10.1364/JOSAA.23.000435
Abstract: In fringe projection profilometry, an object shape is evaluated through phase distribution extracted from a projected fringe pattern. For parallel illumination geometry, the carrier phase component introduced by the fringes is spatially linear, whereas nonparallel illumination would lead to a nonlinear carrier. In this study, a general approach for the removal of a nonlinear-carrier phase component is proposed. A series expansion technique is used to approximate the carrier phase function, and a least-squares method is developed to estimate the unknown coefficients of the series. The theoretical analysis is given on the basis of a divergent illumination geometry with carrier fringes in the x direction. The method is also extended to include a curved surface-fitting approach, which is applicable to various measurement system geometries. © 2006 Optical Society of America.
Source Title: Journal of the Optical Society of America A: Optics and Image Science, and Vision
URI: http://scholarbank.nus.edu.sg/handle/10635/59666
ISSN: 10847529
DOI: 10.1364/JOSAA.23.000435
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