傅里叶变换轮廓术中一种普适的计算公式和系统标定方法

文永富; 苏显渝; 张启灿

中国激光, 2009, 36 (8): 2094, 网络出版: 2009-08-13

傅里叶变换轮廓术中一种普适的计算公式和系统标定方法

Universal Calculation Formula and System Calibration Method in Fourier Transform Profilometry

论文大纲

文永富 ^*苏显渝张启灿

作者单位

四川大学光电科学技术系, 四川成都 610064

物理光学傅里叶变换轮廓术高度相位映射系统标定条纹处理 physical optics Fourier transform profilometry height-phase mapping system calibration fringe analysis

摘要

提出一种新的普适计算公式和系统标定方法, 推导了傅里叶变换轮廓术(FTP)中高度-相位映射关系。由于新的普适计算公式对系统的几何结构没有严格要求, 测量系统的搭建变得容易, 投影系统和成像系统可以任意放置以便获得更好的条纹信息, 因而操作灵活。提出的标定方法能够准确得到普适条件下系统参数的组合, 避免了对系统各个参数的直接测量, 提高了测量系统的可操作性及测量速度。实验中采用本方法对最大高度为28.00 mm的物体进行测量, 相对误差仅为0.97%。测量结果证明, 提出的方法能够准确恢复物体的三维形貌且具有较好的普适性。

Abstract

An universal calculation formula and system calibration method are proposed, and the height-phase mapping relation in Fourier transform profilometry is derived. Because the request on the geometry structure of new universal calculation formula is not strict, the experimental setup is simple and the projector and the imaging device can be located arbitrarily to obtain better information of fringes. And this makes the operation flexible. The system parameters under universal condition can be obtained by the system calibration method. It can avoid measuring the system parameters directly, which makes the system easy to manipulate and improves the velocity of measurement. The new calculation formula and calibration method have been applied to measure the object with 28.00 mm height, and the relative error is only 0.97%. The experimental result proves that the new calculation formula and calibration method can exactly rebuild 3D shape of objects and the system has better universality.

参考文献

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文永富, 苏显渝, 张启灿. 傅里叶变换轮廓术中一种普适的计算公式和系统标定方法[J]. 中国激光, 2009, 36(8): 2094. Wen Yongfu, Su Xianyu, Zhang Qican. Universal Calculation Formula and System Calibration Method in Fourier Transform Profilometry[J]. Chinese Journal of Lasers, 2009, 36(8): 2094.

傅里叶变换轮廓术中一种普适的计算公式和系统标定方法

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