Robust 2D phase unwrapping algorithm based on the transport of intensity equation

• Published in: Measurement science & technology Vol. 30; no. 1; pp. 15201 - 15208
• Main Authors: Zhao, Zixin, Zhang, Hangying, Xiao, Zhaoxian, Du, Hubing, Zhuang, Yiying, Fan, Chen, Zhao, Hong
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.01.2019
• Subjects: phase correction; phase unwrapping algorithm; transport of intensity equation
• ISSN: 0957-0233; 1361-6501
• DOI: 10.1088/1361-6501/aaec5c

2D phase-unwrapping algorithms (PUAs) are commonly used to obtain a continuous phase map from the sawtooth-shaped phase map. However, implementing PUAs can be time consuming, and the accuracy of those algorithms may be low if there is heavy noise. In this paper, we develop a simple and robust PUA based on the transport of intensity equation (TIE). In our method, the TIE was solved using the fast cosine transform, and a phase correction operation was introduced after the TIE was solved. Because of the phase correction operation, the proposed method can obtain a satisfactory unwrapping result even in a notably hash noise condition. The simulation and experimental results are presented to validate the effectiveness of the proposed method. The detailed software package can be found at https://ww2.mathworks.cn/matlabcentral/fileexchange/68493-robust-2d-phase-unwrapping-algorithm.