基于Hessian矩阵的线结构光中心线提取方法研究

Based on the Hessian matrix of the linear structured light center Line extraction method research

在现代工业产品制造过程中,线结构光扫描三维视觉系统已经在表面缺陷检测的许多方面得到运用,而线结构光扫描的关键要提取出模型的中心线。研究以Steger算法为前提,在线结构光条纹中心提取中引入了大模板高斯卷积递归得算法,提出了基于Hessian矩阵的线结构光条纹中心线提取的快速算法。此算法借助于高斯卷积递归求得条纹各点矩阵,进而求出条纹各点法线方向,然后运用泰勒级数在法线方向求得条纹中心准确位置。这种方法不仅减小了以前算法的运算量,而且可以快速高效的提取出中心线。

In the process of manufacturing modern industrial products, the line-structured optical scanning 3D vision system has been applied in many aspects of surface defect detection, and the key to the line-structured optical scanning is to extract the center line of the model. Based on the Steger algorithm, this paper introduces a large template Gaussian convolution recursive algorithm based on the Hessian matrix, which is based on the Hessian matrix. This algorithm uses the Gaussian convolution to obtain the stripes of each point matrix, and then find the stripes of the normal direction, and then use the Taylor series in the normal direction to find the exact location of the stripes center. This method not only reduces the computational complexity of the previous algorithm, but also can quickly and efficiently extract the center line.