基于四边形网格的可调细分曲面造型方法

An adjustable subdivision surface modeling based on quadrilateral meshes

提出了一种基于四边形网格的可调细分曲面造型方法。该方法不仅适合闭域拓扑结构,且对初始网格是开域的也能进行处理。细分算法中引入了可调参数,增加了曲面造型的灵活性。在给定初始数据的条件下,曲面造型时可以通过调节参数来控制极限曲面的形状。该方法可以生成C1连续的细分曲面。试验表明该方法生成光滑曲面是有效的。

This paper presented an adjustable subdivision surface scheme based on quadrilateral meshes. The scheme can deal with both open topological structures and close topological structures. The scheme can produce subdivision surface of C^1 continuity of limit surface. Because an adjustable parameter was introduced to the scheme, the surface modeling was flexible. Given the condition of the initial data, we can adjust and control the limit surface shape through selecting appropriate parameters. The method is effective in generating smooth surfaces.