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局部高密度残差点包裹相位的解包方法

Unwrapping Method for Local High Density Residual Point Wrapped Phase

郭媛   杨震   吴全  
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摘要

为了解决在用(0-1)掩膜和最小二乘迭代法处理局部高密度残差点包裹相位解包时,由于真实相位丢失、误差传递和过度平滑作用引起的相位解包精度低的问题,提出一种新的解包方法。采用(2k+1)×(2k+1)维亚像素离散高斯卷积核对高密度残差点区域进行掩膜处理,有效保留该区域真实相位信息。再利用调节度-最大相位梯度质量图定义四向最小二乘迭代法的权值,改善最小二乘迭代法的过度平滑作用,抑制误差在残差点区域的传递,有效提高该区域解包的精确性。实验结果表明,该方法能很好地解决局部存在高密度残差点的解包裹问题,快速有效地还原高密度残差点区域的原始相位。与传统最小二乘迭代法相比,在相同的迭代次数下,该方法高密度残差点区域的平均误差仅为最小二乘迭代法的10%,更适合于高密度残差点较为集中的包裹相位精确解包。

Abstract

In order to solve the problems of phase unwrapping low precision induced by real phase loss, error transmission, and excessive smoothing while we use (0-1) mask and least square iterative method to deal with phase unwrapping of local high density residual point wrapped phase, a new phase unwrapping method is presented. By using (2k+1)×(2k+1) sub pixel discrete Gaussian convolution kernel to mask the high density residual point region, the true phase information of the region is effectively preserved. The weight of the four directions least square iterative method is set by adjusting degree-maximum phase gradient deviation. Therefore, the over-smoothing of the least square iterative method is improved and the error propagation in the mask area is restrained. The accuracy of the phase unwrapping of the high density residual point area is effectively improved. The experimental results show that this method can solve the phase unwrapping problem of high density residual point in the local region effectively and the original phase of high density residual point can be restored quickly and effectively. Compared with the traditional least square iterative method, the average error of the high residual point region of the proposed method is only 10% comparing to least square iterative method under the same iteration times. This method is more suitable for accurate phase unwrapping of high density residual point region.

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中图分类号:O436.1

DOI:10.3788/lop54.041202

所属栏目:仪器,测量与计量

基金项目:国家自然科学基金(61100103)、黑龙江省自然科学基金(F201219)、黑龙江省教育厅科研面上支持项目(12521600)、齐齐哈尔大学青年重点基金(2011K-02)、教育部留学回国人员科研启动基金、齐齐哈尔大学2015年研究生创新科研项目(YJSCX2015-034X)

收稿日期:2016-11-02

修改稿日期:2016-12-08

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郭媛:齐齐哈尔大学计算机与控制工程学院, 黑龙江 齐齐哈尔 161006
杨震:齐齐哈尔大学计算机与控制工程学院, 黑龙江 齐齐哈尔 161006
吴全:齐齐哈尔大学计算机与控制工程学院, 黑龙江 齐齐哈尔 161006

联系人作者:郭媛(guoyuan171@126.com)

备注:郭媛(1974-),女,博士,教授,硕士生导师,主要从事光学信息处理、光学检测与传感器技术等方面的研究。

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引用该论文

Guo Yuan,Yang Zhen,Wu Quan. Unwrapping Method for Local High Density Residual Point Wrapped Phase[J]. Laser & Optoelectronics Progress, 2017, 54(4): 041202

郭媛,杨震,吴全. 局部高密度残差点包裹相位的解包方法[J]. 激光与光电子学进展, 2017, 54(4): 041202

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