离散点云凸曲面反求新方法及应用

New reverse seeking method and application of scattered points cloud curved convex surfaces

提出了一种针对离散点云表达的凸曲面反求新方法:首先,根据由原曲面获得的离散点云数据创建一组相应的线性分片函数,此函数集在三维空间坐标系中构成一多面体的表面;然后,应用基于球坐标系下凝聚函数的内点极径扫描法,将该多面体表面拟合成为处处高阶可微的光滑整张曲面,实现对原离散点云表达曲面的反求。某流线型车头外形曲面设计实例证明了此方法的有效性及潜在的应用价值。

A kind of new reverse seeking method for convex curved surface aimed at the expression of scattered points cloud was put forward. Firstly, a set of corresponding linear piece-wise functions was established according to the scattered points cloud data acquired from the original curved surface, and this set of functions constituted polyhedral surfaces in the 3D spatial coordinates system. And then, by applying the interior point polar radius scanning method of the aggregate function based on the global coordinates system, let the polyhedral surfaces be fitted as a complete smooth curved surface to be high ordered differentiable everywhere, so as to realize the reverse seeking on the curved surface expressed by the original scattered points cloud. A living example of the exterior curved surface design of certain streamlined locomotive verified the effectiveness and potential application value of this method.