光学学报, 2018, 38 (2): 0212004, 网络出版: 2018-08-30   

条纹投影相位高度转换映射模型及其标定方法 下载: 1291次

Fringe Projection Phase-to-Height Mapping Model and Its Calibration Method
作者单位
天津大学精密测试技术及仪器国家重点实验室, 天津 300072
摘要
为了提高条纹投影三维(3D)测量系统的测量速度和准确度,提出了一种改进的相位高度转换映射模型。通过建立虚拟相机坐标系以及分析条纹信息在投射器坐标系与相机坐标系之间的转换关系,在相机坐标系中建立了从相位到高度的一一映射模型,并在映射模型中校正了相机镜头的畸变。该模型结构简单,便于结合查表(LUT)法使用。应用查表法后,模型算法复杂度极低,可以应用在高速测量中。同时,提出了一种针对映射模型的标定方法,并在相机标定过程中利用逆向投影优化过程对相机的参数进行迭代优化。标定方法简单高效,不需要参考平面,且对系统中的相机和投射器的相对位姿没有严格的要求。实验结果表明所提映射模型及标定方法可以实现快速准确的三维测量。
Abstract
In order to improve the measurement speed and accuracy of fringe projection three-dimensional (3D) measurement system, an approved phase-to-height mapping model is proposed. By building a virtual camera coordinate system and analyzing the conversion relation of fringe patterns between projector coordinate system and camera coordinate system, a one-to-one mapping relationship from phase to height in the camera corrected system is built and the lens distortion of the camera is included in the mapping model. Due to its simple expression, this model is suited for combining with look-up-table (LUT) method. With LUT method, this model can be used in high speed measurement because of its low algorithm complexity. Meanwhile, a calibration method for this model is proposed, and back-projection process is used to optimize the parameters of the camera in calibration process. The calibration method is easy to operate and no reference plane is needed. Also, the relative postures of the camera and the projector in fringe projection system can be arbitrarily arranged. Experimental results indicate that the proposed mapping model and its calibration method can achieve 3D measurement rapidly and accurately.

陆鹏, 孙长库, 王鹏. 条纹投影相位高度转换映射模型及其标定方法[J]. 光学学报, 2018, 38(2): 0212004. Peng Lu, Changku Sun, Peng Wang. Fringe Projection Phase-to-Height Mapping Model and Its Calibration Method[J]. Acta Optica Sinica, 2018, 38(2): 0212004.

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