激光与光电子学进展, 2011, 48 (4): 041002, 网络出版: 2011-03-24  

基于调制度分析与二阶导数导向的综合相位去包裹算法

Hybrid Phase Unwrapping Algorithm Based on Modulation Analysis and Second-Order Derivative Guide
作者单位
1 西安交通大学理学院光信息科学与技术系, 陕西 西安 710049
2 非平衡物质结构及量子调控教育部重点实验室, 陕西 西安 710049
摘要
在相位去包裹算法中,以调制度为参数的质量导向算法能够较好地抑制阴影、陡峭变化区域错误的传播;而以包裹相位二阶导数模值为参数的导向算法能引导去包裹沿连续性最高的方向进行。综合这两种参数导向算法的特点,提出了基于调制度分析与包裹相位二阶导数导向的综合去包裹算法。该算法首先找到一个最优门限,并根据该门限将调制度质量图分为“好”与“差”两种区域,然后在好质量区域采用洪水算法以提高去包裹算法效率,在差质量区域利用包裹图二阶导数模值引导去包裹路径沿连续性最好的方向进行。对投影条纹法和数字散斑法所得的包裹图处理结果表明,所提出的算法具有较高稳健性和效率。
Abstract
Among phase unwrapping algorithms, quality guide algorithm adopting fringe modulation as parameter can constrain the error in shadow and abrupt areas from spreading globally. Reliability guide algorithm with second-order derivative of unwrapped phase as parameter can conduct the unwrapping path to orient the most continuous direction. In order to combine the merits of the above two algorithms, a hybrid algorithm based on fringe modulation analysis and second-order derivative guide is proposed. Firstly, the algorithm finds out an optimal threshold, based on which the fringe modulation quality image is divided into two kinds of area, "good area" and "bad area". Within the good area, unwrapping process is implemented by adopting flood algorithm, while in the bad area second-order derivative of wrapped phase guiding method is utilized to conduct the unwrapping path to orient the most continuous direction. Experimental results on the wrapped phase map of projected fringe method and digital speckle pattern interferometry demonstrate the robustness and efficiency of the proposed algorithm.

王岩峰, 贾书海. 基于调制度分析与二阶导数导向的综合相位去包裹算法[J]. 激光与光电子学进展, 2011, 48(4): 041002. Wang Yanfeng, Jia Shuhai. Hybrid Phase Unwrapping Algorithm Based on Modulation Analysis and Second-Order Derivative Guide[J]. Laser & Optoelectronics Progress, 2011, 48(4): 041002.

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