Maximum smoothness consistent unwrapping of n-dimensional phase fields

Estrada, J. C.; Ramírez-Manzanares, Alonso; Concha, Luis; Marroquín, José L.

doi:10.1016/j.optlaseng.2020.106087

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…According to (11), the smaller 22 hl pp + , the less likely fringe orders are affected by noise. In other words, FOEs are determined not only by the noise of fringe images but also by fringe-frequency-selection strategies.…”

Section: B Anti-noise Performancementioning

confidence: 99%

“…Dozens of phase unwrapping methods have been proposed in recent years, which can be generally divided into two main categories: spatial methods [9]- [11]and temporal methods [12], [13]. The spatial methods unwrap the phase of a pixel by referring to phase information of the spatial neighboring pixels, they tend to fail when the measured objects contain discontinuities or separations.…”

Section: Introductionmentioning

confidence: 99%

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Fringe Order Correction for Number-Theoretical Phase Unwrapping Method via Maximum Likelihood Principle

et al. 2020

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The number-theoretical phase unwrapping method has recently been widely applied in fringe projection profilometry. But fringe order errors may occur due to noise or distortion, leading to errors in the unwrapped phase map, and eventually affecting the accuracy of the reconstructed object surface. In this paper, we propose a novel fringe order correction method based on the maximum likelihood principle. The direct cause of fringe order error is the deviation of an intermediate variable which in theory should be an integer, and the ground truth of the integer stays unchanged within a valid neighborhood. By modeling the calculated intermediate variable as an observed sample from the normal distribution of the unknown ground truth integer, we can determine a valid neighborhood relative to the observed pixel. Then the ground truth integer can be calculated by maximizing the likelihood function and then the fringe order error is corrected. The simulation results and experimental comparisons have verified the feasibility, robustness, and superiority of the proposed method in contrast with other fringe order correction methods. INDEX TERMS Fringe projection, phase unwrapping, fringe order correction, maximum likelihood principle.

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Section: B Anti-noise Performancementioning

confidence: 99%