用泽尼克多项式消除三维轮廓术中的条纹载频  

Carrier Removal Method in Fringe Projection Profilometry Using Zernike Polynomials

作　　者：吴志云[1] 张启灿[1] 

机构地区：[1]四川大学电子信息学院光电科学技术系,四川成都610065

出　　处：《光学学报》2011年第4期159-164,共6页Acta Optica Sinica

基　　金：国家自然科学基金(60807006)资助课题

摘　　要：在基于条纹投影的三维轮廓术中,投影条纹不可避免地会引入载频分量。同时实际成像系统又存在畸变等光学像差,导致载频分量不再是线性分布,只有准确消除载频成分后,才能还原待测物体的三维形貌。提出了一种运用泽尼克多项式拟合消除载频的方法,用参考平面区域数据点的相位值和泽尼克多项式值,拟合得到整幅图像的载频相位分布,从整体的相位中减去载频相位,获得由物体高度调制的相位分布。对理想变形条纹和有畸变变形条纹的载频消除过程分别进行了模拟实验,并与现有方法的结果进行了对比,验证了该方法的有效性。实物实验也表明该方法可以有效地消除载频,减小重建误差,且其算法简单,只需单帧图像即可消除载频,有望在动态三维面形测量中得到应用。In three-dimentional （3D） profilometry based on fringe projection, projected fringe patterns will introduce carrier phases into the overall phase distribution. In an actual imaging system, optical aberration will result in nonlinear carrier, so the nonlinear carrier must be removed accurately to get the phase distribution modulated by the object. A new carrier removal method using Zernike polynomials fitting is proposed. The carrier phases can be obtained by Zernike polynomials fitting using data points on reference area. By subtracting the carrier phases from the overall phase distribution, the object height-related phases can be obtained. Simulation experiments are performed to evaluate the performance of the method for two deformed fringe patterns with and without image aberration. The experimental results show that the method can effectively remove the carrier, and reduce the reconstruction error. And this method has simple algorithm, needs only one image and can be used in the applications which require least time consumption.

关 键 词：三维面形测量 载频消除 泽尼克多项式 条纹分析 

分 类 号：O438[机械工程—光学工程]