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A Weighting Registration Method Based on LM Nonlinear Optimization

机译:基于LM非线性优化的权重配准方法

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摘要

When industrial CT equipment scans the part, a series of CT slices are got. Because of some practical reasons, it isn't avoidable to have some position and orientation problems between the part's three dimensional CT slice series and its CAD model. So it is necessary to match the part's three dimensional CT slice series and its CAD model. A weighting model registration method is proposed based on Levenberg-Marquardt nonlinear optimization. Firstly initial point set is selected from three dimensional CT slice series' contours, then optimized object function is defined as distances' weighting mean square sum between initial point set and CAD model. The minimal object function is searched to get the position and orientation registration parameters of space transform by Levenberg-Marquardt nonlinear optimization. Finally the method can establish space transform according to registration parameters from the part's three dimensional CT slice series to its CAD model. In the optimization, the method changes six variables' optimization to three variables' optimization. It makes the optimization simple and reduces a large amount of computation. Simulation results of hollow turbine blade show the capabilities of the registration algorithm.
机译:当工业CT设备扫描零件时,会得到一系列的CT切片。由于某些实际原因,在零件的三维CT切片序列与其CAD模型之间不可避免地存在一些位置和方向问题。因此,有必要将零件的三维CT切片序列与其CAD模型进行匹配。提出了基于Levenberg-Marquardt非线性优化的加权模型配准方法。首先从三维CT切片序列的轮廓中选择初始点集,然后将优化的目标函数定义为初始点集与CAD模型之间的距离加权均方和。通过Levenberg-Marquardt非线性优化,搜索最小目标函数以获取空间变换的位置和方向配准参数。最后,该方法可以根据零件的三维CT切片序列到其CAD模型的配准参数建立空间变换。在优化中,该方法将六个变量的优化更改为三个变量的优化。它使优化变得简单,并减少了大量的计算。中空涡轮叶片的仿真结果表明了配准算法的功能。

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