一种改进的相位解缠算法
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摘要
针对复杂包裹相位图解缠相位时存在相位跳变和解缠耗时的问题,提出一种改进的相位解缠算法.首先通过四步相移法得到包裹相位图,由包裹相位图生成质量图;其次将质量图划分为高质量区和低质量区,高质量区使用简单路径算法解缠,低质量区通过相邻两像素点的质量值构造水平和竖直权值边;最后按构造边权值从小到大进行相位解缠,解缠过程以两像素点所构成的边为单位,采用不连续解缠路径,逐次解缠所有像素点.实验结果表明,该算法与其他算法相比,解缠速度较快且效果好.
An improved phase unwrapping algorithm was proposed to sovle the problem of phase jumping and time-consuming in phase unwrapping of complex wrapping phase image.Firstly,the wrapped phase image was obtained by four-step phase shift method,and the quality map was generated from the wrapped phase image.Secondly,the quality map was divided into high quality area and low quality area,the high quality area was unwrapped by simple path algorithm,and the low quality area was constructed the horizontal and vertical weighted edges by the quality values of two adjacent pixels.Finally,phase unwrapping was performed according to the constructed edge weights from small to large. The unwrapping process took the edges of two pixel points as unit.Discontinuous unwrapping paths were used to unwrap all the pixels one by one.The experimental results show that compared with other algorithms,the proposed algorithm has faster unwrapping speed and better effect of unwrapping.
An improved phase unwrapping algorithm was proposed to sovle the problem of phase jumping and time-consuming in phase unwrapping of complex wrapping phase image.Firstly,the wrapped phase image was obtained by four-step phase shift method,and the quality map was generated from the wrapped phase image.Secondly,the quality map was divided into high quality area and low quality area,the high quality area was unwrapped by simple path algorithm,and the low quality area was constructed the horizontal and vertical weighted edges by the quality values of two adjacent pixels.Finally,phase unwrapping was performed according to the constructed edge weights from small to large. The unwrapping process took the edges of two pixel points as unit.Discontinuous unwrapping paths were used to unwrap all the pixels one by one.The experimental results show that compared with other algorithms,the proposed algorithm has faster unwrapping speed and better effect of unwrapping.
引文
[1]ZHAO Huijie,DIAO Xiaochun,JIANG Hongzhi,et al.High-Speed Triangular Pattern Phase-Shifting 3DMeasurement Based on the Motion Blur Method[J].Optics Express,2017,25(8):9171-9185.
[2]LUO Jie,WANG Yu,YANG Xu,et al.Modified Five-Step Phase-Shift Algorithm for 3DProfile Measurement[J].Optik,2018,162:237-243.
[3]YU Shuang,ZHANG Jing,YU Xiaoyang,et al.3D Measurement Using Combined Gray Code and Dual-Frequency Phase-Shifting Approach[J].Optics Communications,2018,413:283-290.
[4]郑志平,陈文静,蒋模华.非接触三维测量中新的相位-高度分析模型[J].四川大学学报(自然科学版),2011,48(4):827-832.(ZHENG Zhiping,CHEN Wenjing,JIANG Mohua.A New Model for Analyzing Phase-Height Mapping in 3D Measurement Based on Fringe Projection[J].Journal of Sichuan University(Natural Science Edition),2011,48(4):827-832.)
[5]郭禹璠,陈文静,苏显渝.基于频率调制二元编码光栅相位测量剖面术[J].四川大学学报(自然科学版),2017,54(2):321-329.(GUO Yufan,CHEN Wenjing,SU Xianyu.Phase Measuring Profilometry Based on Binary Encoded Frequency Modulation Grating Projection[J].Journal of Sichuan University(Natural Science Edition),2017,54(2):321-329.)
[6]GOLDSTEIN R M,ZEBKER H A,WERNER C L.Satellite Radar Interferometry:Two Dimensional Phase Unwrapping[J].Radio Science,1988,23(4):713-720.
[7]CUI Haihua,LIAO Wenhe,DAI Ning,et al.Reliability-Guided Phase-Unwrapping Algorithm for the Measurement of Discontinuous Three-Dimensional Objects[J].Optical Engineering,2011,50(6):409-421.
[8]FLYNN T J.Two-Dimensional Phase Unwrapping with Minimum Weighted Discontinuity[J].Journal of the Optical Society of America A,1997,14(10):2692-2701.
[9]FORNARO G,SANSOSTI E.A Two-Dimensional Region Growing Least Squares Phase Unwrapping Algorithm for Interferometric SAR Processing[J].IEEE Transactions on Geoscience&Remote Sensing,1999,37(5):2215-2226.
[10]马民,张东升.最小二乘相位解包络方法[J].光学技术,2002,28(1):94-96.(MA Min,ZHANG Dongsheng.Least-Square Method for Phase Unwrapping[J].Optical Technology,2002,28(1):94-96.)
[11]朱挺,王正勇,谢明,等.四向加权最小二乘法相位解缠研究[J].四川大学学报(自然科学版),2009,46(2):372-376.(ZHU Ting,WANG Zhengyong,XIE Ming,et al.Research of Four Directions Weighted Least-Square Algorithm for Phase Unwrapping[J].Journal of Sichuan University(Natural Science Edition),2009,46(2):372-376.)
[12]LU Jun,SU Hang.Fast Phase Unwrapping Algorithm Based in Region Partition for Structured Light Vision Measurement[J].Optical Engineering,2014,53(4):044103-1-044103-11.
[13]王华英,刘佐强,廖薇,等.基于最小范数的四种相位解包裹算法比较[J].中国激光,2014,41(2):0209016-1-0209016-6.(WANG Huaying,LIU Zuoqiang,LIAO Wei,et al.Comparision of Four Phase Unwrapping Algorithm Based on Method of Minimum Norm[J].Chinese Journal of Lasers,2014,41(2):0209016-1-0209016-6.)
[14]AREVALILLO-HERREZ M,VILLATORO F R,GDEISAT M A.A Robust and Simple Measure for QualityGuided 2D Phase Unwrapping Algorithms[J].IEEE Transactions on Image Processing,2016,25(6):2601-2609.
[15]钟何平,田振,吴浩然,等.共享内存环境下的并行质量引导相位解缠[J].武汉大学学报(信息科学版),2017,42(1):130-135.(ZHONG Heping,TIAN Zhen,WU Haoran,et al.Parallel Quality Guided Phase Unwrapping under Shared Memory Environment[J].Journal of Wuhan University(Information Science Edition),2017,42(1):130-135.)
[16]CHEN Ke,XI Jiangtao,YU Yanguang.Fast Quality-Guided Phase Unwrapping Algorithm for 3DProfilometry Based on Object Image Edge Detection[C]//2012IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.Washington D C:IEEE Computer Society,2012:64-69.
[17]陆军,李积江,王成成,等.基于构造边的精确快速相位解缠算法[J].光电子·激光,2015(1):122-129.(LU Jun,LI Jijiang,WANG Chengcheng,et al.Precise and Fast Phase Unwrapping Algorithm Based on Structured Edges[J].Optoelectronics·Laser,2015(1):122-129.)
[2]LUO Jie,WANG Yu,YANG Xu,et al.Modified Five-Step Phase-Shift Algorithm for 3DProfile Measurement[J].Optik,2018,162:237-243.
[3]YU Shuang,ZHANG Jing,YU Xiaoyang,et al.3D Measurement Using Combined Gray Code and Dual-Frequency Phase-Shifting Approach[J].Optics Communications,2018,413:283-290.
[4]郑志平,陈文静,蒋模华.非接触三维测量中新的相位-高度分析模型[J].四川大学学报(自然科学版),2011,48(4):827-832.(ZHENG Zhiping,CHEN Wenjing,JIANG Mohua.A New Model for Analyzing Phase-Height Mapping in 3D Measurement Based on Fringe Projection[J].Journal of Sichuan University(Natural Science Edition),2011,48(4):827-832.)
[5]郭禹璠,陈文静,苏显渝.基于频率调制二元编码光栅相位测量剖面术[J].四川大学学报(自然科学版),2017,54(2):321-329.(GUO Yufan,CHEN Wenjing,SU Xianyu.Phase Measuring Profilometry Based on Binary Encoded Frequency Modulation Grating Projection[J].Journal of Sichuan University(Natural Science Edition),2017,54(2):321-329.)
[6]GOLDSTEIN R M,ZEBKER H A,WERNER C L.Satellite Radar Interferometry:Two Dimensional Phase Unwrapping[J].Radio Science,1988,23(4):713-720.
[7]CUI Haihua,LIAO Wenhe,DAI Ning,et al.Reliability-Guided Phase-Unwrapping Algorithm for the Measurement of Discontinuous Three-Dimensional Objects[J].Optical Engineering,2011,50(6):409-421.
[8]FLYNN T J.Two-Dimensional Phase Unwrapping with Minimum Weighted Discontinuity[J].Journal of the Optical Society of America A,1997,14(10):2692-2701.
[9]FORNARO G,SANSOSTI E.A Two-Dimensional Region Growing Least Squares Phase Unwrapping Algorithm for Interferometric SAR Processing[J].IEEE Transactions on Geoscience&Remote Sensing,1999,37(5):2215-2226.
[10]马民,张东升.最小二乘相位解包络方法[J].光学技术,2002,28(1):94-96.(MA Min,ZHANG Dongsheng.Least-Square Method for Phase Unwrapping[J].Optical Technology,2002,28(1):94-96.)
[11]朱挺,王正勇,谢明,等.四向加权最小二乘法相位解缠研究[J].四川大学学报(自然科学版),2009,46(2):372-376.(ZHU Ting,WANG Zhengyong,XIE Ming,et al.Research of Four Directions Weighted Least-Square Algorithm for Phase Unwrapping[J].Journal of Sichuan University(Natural Science Edition),2009,46(2):372-376.)
[12]LU Jun,SU Hang.Fast Phase Unwrapping Algorithm Based in Region Partition for Structured Light Vision Measurement[J].Optical Engineering,2014,53(4):044103-1-044103-11.
[13]王华英,刘佐强,廖薇,等.基于最小范数的四种相位解包裹算法比较[J].中国激光,2014,41(2):0209016-1-0209016-6.(WANG Huaying,LIU Zuoqiang,LIAO Wei,et al.Comparision of Four Phase Unwrapping Algorithm Based on Method of Minimum Norm[J].Chinese Journal of Lasers,2014,41(2):0209016-1-0209016-6.)
[14]AREVALILLO-HERREZ M,VILLATORO F R,GDEISAT M A.A Robust and Simple Measure for QualityGuided 2D Phase Unwrapping Algorithms[J].IEEE Transactions on Image Processing,2016,25(6):2601-2609.
[15]钟何平,田振,吴浩然,等.共享内存环境下的并行质量引导相位解缠[J].武汉大学学报(信息科学版),2017,42(1):130-135.(ZHONG Heping,TIAN Zhen,WU Haoran,et al.Parallel Quality Guided Phase Unwrapping under Shared Memory Environment[J].Journal of Wuhan University(Information Science Edition),2017,42(1):130-135.)
[16]CHEN Ke,XI Jiangtao,YU Yanguang.Fast Quality-Guided Phase Unwrapping Algorithm for 3DProfilometry Based on Object Image Edge Detection[C]//2012IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.Washington D C:IEEE Computer Society,2012:64-69.
[17]陆军,李积江,王成成,等.基于构造边的精确快速相位解缠算法[J].光电子·激光,2015(1):122-129.(LU Jun,LI Jijiang,WANG Chengcheng,et al.Precise and Fast Phase Unwrapping Algorithm Based on Structured Edges[J].Optoelectronics·Laser,2015(1):122-129.)