基于横向剪切的四向最小二乘相位解包裹算法  

Four directions least-square phase unwrapping algorithm based on lateral shearing interferometry

作　　者：郭媛[1] 吴全[1] 毛琦[1] 陈小天[1] 甄伟[1] 杨振[1] 

机构地区：[1]齐齐哈尔大学计算机与控制工程学院,黑龙江齐齐哈尔161006

出　　处：《光电子．激光》2015年第10期1953-1959,共7页Journal of Optoelectronics·Laser

基　　金：国家自然科学基金(61100103);教育部留学归国人员启动基金;黑龙江省自然科学基金(F201219);黑龙江省教育厅科研(12521600);齐齐哈尔大学青年重点基金(2011K-02);齐齐哈尔大学2014年研究生创新科(YJSCX2014-026X)资助项目

摘　　要：为了解决相位变换过快导致相位离散梯度不连续及解包裹中欠采样的出现,本文将横向剪切干涉技术引入到四向最小二乘相位解包裹算法中。通过对包裹相位建立二维复光场,对复光场进行剪切,一方面可以排除相位截断的干扰,另一方面剪切的引入可以提高算法对严重包裹相位的处理能力。实验结果表明,本文算对恢复相位信息有较好的效果,同时具有四向最小二乘的抑制误差传递的优点,且适合于对部分区域变化过大的相位进行解包裹。The reconstructed optical field phase of speckle interference fringes generally has high spatial variation frequency. However,the space-band width is so limited that it is easy to introduce undersam- pling and to cause the existence of massive unreliable data points in the wrapped phase,which increases the difficulty of phase unwrapping algorithm. This paper introduces the principle of shearing interferome- try into four directions least-square phase unwrappiiag algorithm by reconstructing two-dimensional opti- cal field for the wrapped phase,in order to reduce the influence of discontinuity of phase discrete gradient and the impact of undersampling. On one hand,the disadvantage of the phase truncation can be elimina- ted. On the other hand, the ability of processing the wrapped phase can be improved. Related experiments are carried out to verify the algorithm. The results indicate that this algorithm could suppress the error transfer effectively. It is suitable for phase unwrapping of serious wrapped regions and it has better re- sults than the original algorithm.

关 键 词：剪切干涉 四向最小二乘 相位解包裹 欠采样 

分 类 号：O436.1[机械工程—光学工程]