改进的菱形解相位法在相位展开中的应用  

The Application of Improved Rhombus Phase Unwrapping Algorithm in Phase Unwrapping

作　　者：蒋含 许源平[1] 张朝龙 许志杰[2] 周治宇 黄健[1] 卢军[1] JIANG Han;XU Yuanping;ZHANG Chaolong;XU Zhijie;ZHOU Zhiyu;HUANG Jian;LU Jun(College of Software Engineering,Chengdu University of Information Technology,Chengdu,610225 China;School of Computing and Engineering,University of Huddersfield,Huddersfield,West Yorkshire,HD13DH,UK;Chengdu CHG Robots&Intelligent Equipment Institute,Chengdu 610045,China)

机构地区：[1]成都信息工程大学软件工程学院,四川成都610225 [2]英国哈德斯菲尔德大学计算与工程学院,西约克郡哈德斯菲尔德HD13DH [3]成都川哈工机器人及智能装备产业技术研究院有限公司,四川成都610045

出　　处：《成都信息工程大学学报》2021年第3期247-252,共6页Journal of Chengdu University of Information Technology

基　　金：国家自然科学基金资助项目(61203172);四川省科技厅资助项目(2018JY0146、2019YFH0187、2019104)。

摘　　要：为解决菱形解相位法在展开复杂相位场时容易出现拉线或孤岛的问题,提出了菱形解相位法的改进算法。该算法首先结合Goldstein枝切法找出包裹相位分布中的残差点,并将包裹相位图分为残差点区域和非残差点区域,然后对非残差点区域采用传统菱形解相位法进行展开,最后依据相位的连续性原则,利用最小二乘法拟合残差点区域的相位,获取实际相位的最佳逼近值,从而获得真实且可靠的相位展开结果。仿真结果表明:改进后的菱形解相位法可以有效展开复杂相位场,使拉线与孤岛现象减少了约70%。In order to solve the problem that the rhombus phase unwrapping method easily form lines or islands when the measurement surface is too complex,this paper proposes an improved algorithm based on the rhombus phase unwrapping algorithm.First,the improved algorithm finds the residual points in the unwrapping phase by combining the Goldstein’s branch cut algorithm,and the wrapped phase map is divided into residual area and non-residual area.Then,the rhombus phase unwrapping algorithm is used to unwrap the non-residual area phase.Finally,according to the principle of phase continuity,the least square method is used to fit the phase of the residual area to obtain the best approximation of the actual phase,thereby obtaining authentic and reliable phase unwrapping results.The simulation results show that the improved algorithm can unwrap the complex phase field effectively,and the phenomenon of lines and islands is reduced by about 70%.

关 键 词：相位展开 枝切法 菱形解相位法 拉线 孤岛 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]