A novel multi-frequency phase fusion strategy for phase unwrapping algorithm with improved noise immunity

Huisi Miao; Ziyv Yan; Wei Huang; Changyan Xiao

doi:10.1117/12.2667079

27 January 2023 A novel multi-frequency phase fusion strategy for phase unwrapping algorithm with improved noise immunity

Huisi Miao, Ziyv Yan, Wei Huang, Changyan Xiao

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Proceedings Volume 12550, International Conference on Optical and Photonic Engineering (icOPEN 2022); 1255003 (2023) https://doi.org/10.1117/12.2667079
Event: International Conference on Optical and Photonic Engineering (icOPEN 2022), 2022, ONLINE, China

Abstract

The multi-frequency heterodyne is a temporal phase unwrapping algorithm that is commonly used in phase-shifting methods. The main principle is that two phase maps with similar periods are differenced to obtain a reference map with a longer period and no ambiguity. However, this method poses a noise problem: the heterodyne procedure leads to the accumulation and amplification of errors in the absolute phase maps, which may result in fringe order jumps. In this paper, a novel multi-phase fusion strategy is proposed, which incorporates correlation constraints in the phase decoding process to reduce the effect of noise. First, a priori constraint on the background illumination and modulation intensity of the multi-frequency fringe pattern is proposed, and a phase optimization function is established by correlating the phase signal models of different frequencies. Since the optimal value of the optimization function is localized, the optimization process is divided into two parts: phase order correction and local phase optimization; then, anomalous phases are identified and denoised according to phase anomalies and the priori condition failures. Finally, the effectiveness of the proposed strategy is verified quantitatively on a standard plane: the SNR of the optimized 4-step phase-shift method is close to that of the 16-step phase-shift method. Furthermore, the strategy also demonstrated a significant reduction in the phase jump problem and an improvement in the SNR of the phase map in 3D PCB measurement experiments.

Citation Download Citation

Huisi Miao, Ziyv Yan, Wei Huang, and Changyan Xiao "A novel multi-frequency phase fusion strategy for phase unwrapping algorithm with improved noise immunity", Proc. SPIE 12550, International Conference on Optical and Photonic Engineering (icOPEN 2022), 1255003 (27 January 2023); https://doi.org/10.1117/12.2667079

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KEYWORDS

Phase shifts

Phase shift keying

Phase unwrapping

Signal to noise ratio

Heterodyning

Modulation

Fringe analysis

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