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2维载频条纹2维窗口傅里叶变换轮廓术

李海1, 曾应新1, 杨玲玲2(1.华南农业大学理学院,广州 510642;2.韩山师范学院化学系,潮州 521041)

摘 要
为了解决3维形貌测量中单一频率光栅条纹的测量信息少、1维双频光栅两个同方向载频容易产生频率混叠及两个载频条纹测量精度不同、连续相位解包法在复杂物体相位解包所存在的问题,提出采用2维网格光栅作为空间载频光栅条纹联合2维窗口傅里叶变换的傅里叶变换轮廓术。两个载频相互垂直,减少可能的频谱混叠;应用2维窗口傅里叶变换进行频谱分析和设计带宽自动调整的滤波器分离出两个1维变形光栅条纹,在一幅变形网格光栅图像中得到两个方向光栅各自所对应的包裹相位分布;并且应用查表法解包得到真实调制相位分布。与1维单频和1维双频比较,这种技术可以获得两倍相同精度的测量信息,并能对复杂物体的相位分布进行解包。给出了详细的理论推导、计算机模拟和实验结果,证实了该方法的可行性。
关键词
2D Gabor transform profilometry by use of grid grating pattern and variable bandpass filters

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Abstract
In order to increase measurement precision in Profilometry, reduce possible frequency overlaps and tolerate the height discontinuity of complex three-dimensional shape, an improved Profilometry using a grid carrier fringe pattern is presented. In the Profilometry, two spatial fringe patterns are perpendicular to each other to avoid frequency overlaps; two one-dimensional deformed grating patterns are separated from the deformed grid pattern by use of both two-dimensional Gabor transform and variable rectangle bandpass filters, from which the wrapped phases in x and y directions are respectively extracted. The corresponding unwrapped phases are achieved by use of a lookup table method. Compared with Profilometry using single frequency fringe pattern and one-dimensional double-frequency fringe pattern, the improved Profilometry could obtain double phase information of identical precision, increase measurement precision and realize discontinuous phase unwrapping. Detailed theoretical analysis is presented, and the simulated and experimental results show that it is feasible.
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