Abstract

A robust phase unwrapping algorithm based on a rank information filter is proposed to retrieve the unambiguous unwrapped phase from noisy wrapped phase images. First, a recursive phase unwrapping program, based on a rank information filter, is proposed to transform the problem of phase unwrapping for wrapped phase into the problem of the state estimation for state variables under the framework of a rank information filter, where a local phase gradient estimator based on the amended matrix pencil model (AMPM) is used to obtain phase gradient information required by the recursive phase unwrapping program. Second, an efficient path-following strategy based on heap-sort is used to guide the phase unwrapping path, which ensures that the recursive phase unwrapping program based on a rank information filter unwraps wrapped phase images along the path from high-quality pixels to low-quality pixels. Finally, the results obtained from synthetic data and experimental measured data demonstrate the effectiveness of the proposed method and show this method can obtain robust solutions from noisy wrapped phase images.

© 2021 Optical Society of America

Robust particle-Kalman filtering phase unwrapping algorithm for wrapped fringe patterns

Xianming Xie and Jiaying Li
Appl. Opt. 61(23) 6677-6689 (2022)

Unscented information filtering phase unwrapping algorithm for interferometric fringe patterns

Xianming Xie and Gaoxing Dai
Appl. Opt. 56(34) 9423-9434 (2017)

Efficient phase unwrapping algorithm based on cubature information particle filter applied to unwrap noisy continuous phase maps

Xianming Xie, Qingning Zeng, Kefei Liao, and Qinghua Liu
Opt. Express 27(7) 9906-9924 (2019)

Iterated unscented Kalman filter for phase unwrapping of interferometric fringes

Xianming Xie
Opt. Express 24(17) 18872-18897 (2016)

Enhanced phase unwrapping algorithm based on unscented Kalman filter, enhanced phase gradient estimator, and path-following strategy

XianMing Xie and YingHui Li
Appl. Opt. 53(18) 4049-4060 (2014)