法向量约束下的蝶形细分曲面方法

Butterfly Subdivision Scheme under the Constraint of Normal Vectors

文章提出一种以原网格的顶点的法向量为约束条件,通过对初始三角形控制网格迭代插值的非静态细分的几何造型方法。新方法的主要优点是插值点的计算是依据网格的局部几何特征而不是网格的入度。实例显示新的细分方法可以很好继承原始网格的形状特征。

A new non-stationary subdivision method is presented for surface modeling .The normal at the vertexes of old meshes will be used as constraint for every time of subdivision .The main advantage of this new method is that the interpolated vertexes depend on the local geometry of the mesh, but not the valances of the mesh. The examples show it＇ s performance of keeping the shape of initial course mesh.