基于曲率特征的自由曲面匹配算法

Algorithm for Free-Form Surface Matching Based on Curvatures

针对无任何预知联系下的自由曲面匹配问题,提出了一种简捷、快速的匹配方法.该方法以曲面的曲率为联系特征,在测量数据与模型曲面之间建立起满足角度、距离约束的对应关系,利用三点旋转平移变换法生成旋转平移变换列表;然后通过最小距离目标函数选取正确的三维坐标变换,实现测量数据与模型曲面之间的准确匹配.实验结果表明:该方法简捷、可靠且容易实现,特别适用于工件的测量定位和多视数据的融合.

Aiming at the free-form surface matching with no prior information on transformation, an effective and straightforward matching method is presented. The method establishes the corresponding relationships between two free-form surfaces with constraints of angle and distance by means of the surface features of the Gaussian curvature and the mean curvature. And then by using the proposed method calculating the transformation, a list of transformations is constituted. On the basis of these, the optimal transformation is achieved by the minimum distance function. Experimental results demonstrate that the algorithm is steady and effective.