title: Practical phase unwrapping of interferometric fringes based on unscented Kalman filter technique.
abstract: A phase unwrapping algorithm for interferometric fringes based on the unscented Kalman filter (UKF) technique is proposed. The algorithm can bring about accurate phase unwrapping and good noise suppression simultaneously by incorporating the true phase and its derivative in the state vector estimation through the UKF process. Simulations indicate that the proposed algorithm has better accuracy than some widely employed phase unwrapping approaches in the same noise condition. Also, the time consumption of the algorithm is reasonably acceptable. Applications of the algorithm in our different optical interferometer systems are provided to demonstrate its practicability with good performance. We hope this algorithm can be a practical approach that can help to reduce the systematic errors significantly induced by phase unwrapping process for interferometric measurements such as wavefront distortion testing, surface figure testing of optics, etc.
authors.forename: Zhongtao
authors.initials: Z
authors.lastname: Cheng
authors.forename: Dong
authors.initials: D
authors.lastname: Liu
authors.forename: Yongying
authors.initials: Y
authors.lastname: Yang
authors.forename: Tong
authors.initials: T
authors.lastname: Ling
authors.forename: Xiaoyu
authors.initials: X
authors.lastname: Chen
authors.forename: Lei
authors.initials: L
authors.lastname: Zhang
authors.forename: Jian
authors.initials: J
authors.lastname: Bai
authors.forename: Yibing
authors.initials: Y
authors.lastname: Shen
authors.forename: Liang
authors.initials: L
authors.lastname: Miao
authors.forename: Wei
authors.initials: W
authors.lastname: Huang