Least-squares method constrained by phase smoothness for correcting illumination fluctuation errors in phase-shifting profilometry: erratum

Huijie Zhu; Hongwei Guo

doi:10.1364/AO.510978

Abstract

This erratum corrects an error in Eq. (29) of the original paper, Appl. Opt. 62, 8451 (2023) [CrossRef] .

In [1], Eq. (29) is not complete. It should be

{\bf \Lambda}(x,y) = \left[{\begin{array}{*{20}{l}}{\sum\nolimits_{n = 1}^N {(1 + {\kappa _n})[{{\hat I}_n}(x,y) - {\lambda _n}]}}\\{\sum\nolimits_{n = 1}^N {(1 + {\kappa _n})[{{\hat I}_n}(x,y) - {\lambda _n}]} \cos {\delta _n}}\\{\sum\nolimits_{n = 1}^N {(1 + {\kappa _n})[{{\hat I}_n}(x,y) - {\lambda _n}]} \sin {\delta _n}}\end{array}} \right].

REFERENCE

1. H. Zhu and H. Guo, “Least-squares method constrained by phase smoothness for correcting illumination fluctuation errors in phase-shifting profilometry,” Appl. Opt. 62, 8451–8461 (2023). [CrossRef]

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Equations (1)

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Λ (x, y) = [\begin{array}{l} \sum_{n = 1}^{N} (1 + κ_{n}) [{\hat{I}}_{n} (x, y) - λ_{n}] \\ \sum_{n = 1}^{N} (1 + κ_{n}) [{\hat{I}}_{n} (x, y) - λ_{n}] \cos δ_{n} \\ \sum_{n = 1}^{N} (1 + κ_{n}) [{\hat{I}}_{n} (x, y) - λ_{n}] \sin δ_{n} \end{array}] .

Abstract

REFERENCE

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Equations (1)

Applied Optics