正交条纹级次分区域预编码校正Gamma非线性方法

Correction of Gamma nonlinearity method by orthogonal fringe order subregional precoding

  • 摘要: 数字投影仪的非线性响应是近年来研究的热点问题,因为数字投影仪虽然能避免物理光栅投影的各种缺陷,但其自身的非线性直接影响了输出信息,是相位误差的主要来源,进而影响了测量精度。针对数字条纹投影三维测量中存在的Gamma非线性和不同区域Gamma值并不一致的问题,提出一种通过正交条纹级次分区域预编码校正Gamma非线性方法,通过正交条纹划分区域,对每个区域使用多项式拟合计算预编码值校正该区域条纹图像。使用该方法校正后相位误差减少了82.24%,适用于任意投影仪与相机之间的位置关系,只需要精细化计算一套分区域预编码系数并由此生成编码条纹图,即可满足该系统此后的测量需求,该方法灵活性强、精确度高。

     

    Abstract: The nonlinear response of digital projector is a hot issue in recent years, because although the digital projector can avoid all kinds of defects of physical grating projection, its own nonlinearity directly affects the output information, which is the main source of phase error, and then affects the measurement accuracy. Aiming at the problem that Gamma nonlinearity in 3D measurement of digital fringe projection was inconsistent with Gamma value in different regions, a method of correcting Gamma nonlinearity by precoding of subregion of orthogonal fringes was proposed. By dividing the region by orthogonal fringes, the region fringe image was corrected by polynomial fitting and precoding value calculating. The phase error was reduced by 82.24% after correction by this method. It was suitable for the position relationship between any projector and camera. Only a set of precoding coefficients of subregion need to be calculated and encoded fringe graph can be generated by this method. The method can meet the measurement requirements of the system after that. The method has strong flexibility and high accuracy.

     

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