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Carrier phase component removal: a generalized least-squares approach

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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.

© 2005 Optical Society of America

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Corrections

Lujie Chen and Cho Jui Tay, "Carrier phase component removal: a generalized least-squares approach: errata," J. Opt. Soc. Am. A 23, 2053-2053 (2006)
https://opg.optica.org/josaa/abstract.cfm?uri=josaa-23-8-2053

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Equations (19)

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