为提高具有任意拓扑结构的复杂曲面模型重构方法的效率和精度,在传统的非均匀有理B样条(NURBS)曲面重构方法的基础上,提出一种基于点云的整体参数曲面重构方法.采用八叉树拓扑重建方法建立点云间的拓扑关系,基于法矢和曲率对点云进行精简;为从整体上构建模型,避免传统NURBS方法后期复杂的拼接操作,在曲面重构的过程中将NURBS曲面的矩形定义域扩展到微分流形上,采用局部参数化上的势函数构造定义域上的基函数;最后,将基函数进行归一化处理后求得微分流形上的单位分解,复合控制网格上的控制顶点以及单位分解实现复杂实物的曲面重构.实验结果表明,该方法对任意拓扑的曲面重构具有较高的重构效率和精度.%To improve the reconstruction efficiency and precision of the arbitrary topological composite free-form surface,an integral parametric surface reconstruction method based on point cloud was proposed.The octree was applied to the topological reconstruction of point cloud,and actualized simplification was applied according to the mean curvature and normal vector of point cloud.To construct the model as a whole and avoid the complex splicing of NURBS,the regular domain of NURBS surface was expanded to differential manifolds and the base function was built through the potential function of local parameterization.Normalized basis functions were used to obtain the differential manifold decomposition unit,unit decomposition and control vertices were composited to obtain the final surface model.Experimental results show that the proposed method has high efficiency and accuracy for surface reconstruction of arbitrary topology.
展开▼
