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Article

A Robust Discontinuous Phase Unwrapping Based on Least-Squares Orientation Estimator

1
Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, Wuhan 430081, China
2
Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, China
3
Institute of Robotics and Intelligent Systems, School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China
*
Author to whom correspondence should be addressed.
Electronics 2021, 10(22), 2871; https://doi.org/10.3390/electronics10222871
Submission received: 24 August 2021 / Revised: 13 November 2021 / Accepted: 15 November 2021 / Published: 22 November 2021
(This article belongs to the Section Optoelectronics)

Abstract

Weighted least-squares (WLS) phase unwrapping is widely used in optical engineering. However, this technique still has issues in coping with discontinuity as well as noise. In this paper, a new WLS phase unwrapping algorithm based on the least-squares orientation estimator (LSOE) is proposed to improve phase unwrapping robustness. Specifically, the proposed LSOE employs a quadratic error norm to constrain the distance between gradients and orientation vectors. The estimated orientation is then used to indicate the wrapped phase quality, which is in terms of a weight mask. The weight mask is calculated by post-processing, including a bilateral filter, STDS, and numerical relabeling. Simulation results show that the proposed method can work in a scenario in which the noise variance is 1.5. Comparisons with the four WLS phase unwrapping methods indicate that the proposed method provides the best accuracy in terms of segmentation mean error under the noisy patterns.
Keywords: WLS phase unwrapping; discontinuity; robust; orientation estimator WLS phase unwrapping; discontinuity; robust; orientation estimator

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MDPI and ACS Style

Deng, G.; Wu, S.; Zhou, S.; Chen, B.; Liao, Y. A Robust Discontinuous Phase Unwrapping Based on Least-Squares Orientation Estimator. Electronics 2021, 10, 2871. https://doi.org/10.3390/electronics10222871

AMA Style

Deng G, Wu S, Zhou S, Chen B, Liao Y. A Robust Discontinuous Phase Unwrapping Based on Least-Squares Orientation Estimator. Electronics. 2021; 10(22):2871. https://doi.org/10.3390/electronics10222871

Chicago/Turabian Style

Deng, Gaoxu, Shiqian Wu, Shiyang Zhou, Bin Chen, and Yucheng Liao. 2021. "A Robust Discontinuous Phase Unwrapping Based on Least-Squares Orientation Estimator" Electronics 10, no. 22: 2871. https://doi.org/10.3390/electronics10222871

APA Style

Deng, G., Wu, S., Zhou, S., Chen, B., & Liao, Y. (2021). A Robust Discontinuous Phase Unwrapping Based on Least-Squares Orientation Estimator. Electronics, 10(22), 2871. https://doi.org/10.3390/electronics10222871

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