一种基于双参考平面的等相位坐标标定方法

戴美玲; 杨福俊; 代祥俊; 何小元

doi:doi:10.3788/aos201434.0512006

光学学报, 2014, 34 (5): 0512006, 网络出版: 2014-04-22

一种基于双参考平面的等相位坐标标定方法

An Equi-Phase Coordinate Calibration Method Based on Two Reference Planes

论文大纲

戴美玲 ^*杨福俊代祥俊何小元

作者单位

东南大学工程力学系，江苏南京 210096

图像处理三维形貌测量标定等相位坐标非正弦误差 image processing three-dimensional shape measurement calibration equi-phase coordinates non-sinusoidal error

摘要

栅线投影三维测量中通过标定技术把二维的相位信息转化为高度信息，提出了一种基于双参考平面的等相位坐标标定方法。该方法利用被测物体上相位和两个参考平面上相位相同的位置坐标，通过线性插值得到物体表面的高度，而不是传统方法中将物体上的相位直接减去参考平面上同一坐标下的相位得到绝对相位，再建立高度和绝对相位之间的函数关系（将此类方法称为等坐标相位法）。所提方法能够同时解决相位高度转换以及由于栅线投影系统的非线性响应导致的非正弦性误差的问题。理论和实验证实了该方法的有效性。结果显示，等相位坐标法得到的主要由条纹的非正弦性引起的均方根(RMS)误差不到等坐标相位法的一半。

Abstract

Calibration is to transform the two-dimensional (2D) phase information to the height in fringe projection three-dimensional (3D) measurement. An equi-phase coordinate method based on two reference planes for calibrating fringe projection system is proposed. The surface height is calculated by a linear interpolation using the coordinates where have the identical phase value of the object and the two reference planes, instead of using the absolute phase obtained by subtracting the phase of object from the reference plane in the same coordinate conventionally and building the function of the absolute phase and height, which is called equi-coordinate phase method. The proposed method can handle phase-to-height conversion and non-sinusoidal error caused by nonlinear respondence of the fringe projection system in one go. Theoretical and experimental analysis is given to prove the validity of the proposed calibration method. Results indicate that the root mean square (RMS) error produced by equi-phase coordinate method is less half of the equi-coordinate phase approach when the primary error source is from the non-sinusoidal fringe patterns.

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戴美玲, 杨福俊, 代祥俊, 何小元. 一种基于双参考平面的等相位坐标标定方法[J]. 光学学报, 2014, 34(5): 0512006. Dai Meiling, Yang Fujun, Dai Xiangjun, He Xiaoyuan. An Equi-Phase Coordinate Calibration Method Based on Two Reference Planes[J]. Acta Optica Sinica, 2014, 34(5): 0512006.

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