基于希尔伯特变换的干涉条纹相位解调新算法

熊六东; 贾书海; 杜艳芬

光子学报, 2010, 39 (9): 1678, 网络出版: 2010-11-04

基于希尔伯特变换的干涉条纹相位解调新算法

A Novel Hilbert Transform Algorithm for Phase Evaluation from Fringe Pattern

论文大纲

熊六东 ^*贾书海杜艳芬

作者单位

西安交通大学光信息科学与技术系，西安 710049

相位解调希尔伯特变换干涉条纹判断函数 Phase evaluation Hilbert transformation Fringe pattern Estimate function

摘要

提出了一种新的应用希尔伯特变换解调干涉条纹相位的算法，可以从单幅干涉条纹图中解调出全场相位分布.在实际应用中，常借助傅里叶变换实现希尔伯特变换算法，但是会忽略负频率成分，造成相位信息的丢失.对于相位分布非单调变化的干涉条纹，提出了一种判断函数，用来计算相位信息零频率点的分布.利用相位的零频率点分布构造了一个二元模板，使用该模板对本文提出的两次希尔伯特变换法产生的包裹相位图进行修正.对修正后的包裹相位图进行解包裹处理，可以得到连续的全场相位分布.对该方法用计算机模拟进行了验证.

Abstract

A novel Hilbert transform algorithm for detecting phase from fringe pattern is proposed.Only one interference pattern is required for the phase evaluation.In practice,the Hilbert transform based on the Fourier transformation eliminates all negative frequency components,and any phase variation in the fringe pattern having negative local spatial frequency can not be correctly reconstructed.A procedure for detection of regions having zero spatial frequency in the fringe pattern is proposed by an estimation function for complicated phase distribution.A binary matrix is used for modifying wrapped phase of complicated phase distribution fringe pattern, and a method for removing the bias component by twice Hilbert transform is proposed.The correct values of phase is obtained by an unwrapping process.The performance of the proposed method is evaluated by computer simulation.

参考文献

[1] 喻睿智,曹益平.一种采用相位测量轮廓术的工件在线三维检测方法［J］.光子学报,2008,37(6):1139-1143.

YU Rui-zhi,CAO Yi-ping.A three dimensional on-line inspecting method for workpiece by PMP［J］.Acta Photonica Sinica,2008,37(6):1139-1143.

[2] 王晓东,彭翔,田劲东.数字投影三维数字成像的并行DSP实现［J］.光子学报,2008,37(7):1459-1463.

WANG Xiao-dong,PENG Xiang,TIAN Jin-dong.3-D digital imaging with parallel DSP based on digital projection［J］.Acta Photonica Sinica,2008,37(7):1459-1463.

[3] 焦国华,李育林,胡宝文.Mirau相移干涉法测量微透镜阵列面形［J］.光子学报,2007,36(10):1924-1927.

JIAO Guo-hua,LI Yu-lin,HU Bao-wen.Mirau phase-shifting interferometer for profile measurement of microlenses array［J］.Acta Photonica Sinica,2007,36(10):1924-1927.

[4] 刘元坤,苏显渝,吴庆阳.基于傅里叶条纹分析的多摄像机标定方法［J］.光子学报,2007,36(9):1734-1737.

LIU Yuan-kun,SU Xian-yu,WU Qing-yang.Multi-camera calibration by FTP technique［J］.Acta Photonica Sinica,2007,36(9):1734-1737.

[5] . Digital holographic interference-phase measurement using the Fourier-transform method[J]. JOSA, 1986, 3: 847-855.

[6] ZWEIG D A,HUFNAGEL R E.A Hilbert transform algorithm for fringe-pattern analysis［C］.SPIE,1990,1333:295-302.

[7] WONG W O,CHAN M S M,CHAN K T,et al.A modified Hilbert transformation method for fringe pattern analysis［C］.SPIE,2001,4317:424-428.

[8] LV Jie,WANG Ming,HUAN Hai,et al.Fringe analysis with Hilbert transform and its application to the measurement of aspheric mirror,［C］.SPIE,2007,6723:67231D1-67231D9.

[9] 高成勇,周灿林.一种基于希尔伯特变换实施相移的相位解调算法［J］.光学技术,2004,30(4):508-512.

GAO Cheng-yong,ZHOU Can-lin.A kind of calibration algorithm of phase-shifting based on Hilbert transform［J］.Optical Technique,2004,30(4):508-512.

[10] . Quantitative vibration amplitude measurement with time-averaged digital speckle pattern interferometry,[J]. Optics & Laser Technology, 1998, 30(5): 317-324.

熊六东, 贾书海, 杜艳芬. 基于希尔伯特变换的干涉条纹相位解调新算法[J]. 光子学报, 2010, 39(9): 1678. XIONG Liu-dong, JIA Shu-hai, DU Yan-fen. A Novel Hilbert Transform Algorithm for Phase Evaluation from Fringe Pattern[J]. ACTA PHOTONICA SINICA, 2010, 39(9): 1678.

基于希尔伯特变换的干涉条纹相位解调新算法

关于本站 Cookie 的使用提示

全站搜索

基于希尔伯特变换的干涉条纹相位解调新算法

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索