基于联合细分的曲线网插值曲面的光顺性研究

分析了插值于曲线网的联合细分曲面存在不光顺现象的原因后,将曲线2阶差分算子和曲线顶点邻近点的修正算法,发展成为非均匀2阶差分算子和非均匀修正算子;然后在原始网格加密过程中,采用曲率流方法,在网格法向上移动控制顶点来调整网格形状,从而消除极限曲面上的扁平、凹陷现象,得到光顺的极限曲面,扩展了联合细分的应用范围。

Research on Fairing Combined Subdivision Surface with Curve Network Interpolation Constraint

After analyzing the reasons for the unfairness of combined subdivision surface,we developed a non-uniform second-order difference operator and a non-uniform correction operator on the basis of the second-order difference operator and an algorithm for correcting the adjacent vertexes of the vertexes related with curves.The curvature flow method is employed to move control points at their normal direction to adjust control mesh′s shape while densifying the original mesh.As a result,the unfairness of the flattening and concavity is removed and the surface is faired.The improvements in this paper can extend the use of combined subdivision scheme in interpolating curve network.