可调自适应三角网格的细分曲面造型方法

摘要

To study a simple and effective method of subdivision surfaces so that the resulting surface is not only smooth but also adjustable. An adjustable adaptive subdivision method for triangle meshes is presented, by introducing shape control factor λ in loop subdivision scheme, the shape of geometry can be adjust in the process of subdivision. Furthermore, the threshold ε of neighbor dihedral angle is utilized as the control error for subdivision depth. An simulation example is presented that the method not only use fewer meshes to obtain the good performance surface, but also can adjust the shape of subdivision surface to satisfy the actual requirement.%为了研究一种简单的有效的细分曲面方法使生成的曲面不仅光滑而且可调,提出了一种面向三角网格的可调自适应细分曲面造型法,该方法通过在传统的Loop细分模式中加入形状控制因子λ以使生成的曲面形状可调,同时引入二面角作为控制误差来判断相邻三角形夹角是否满足给定的阈值,以此实现自适应细分过程.模拟算例结果表明,该方法不仅能用较少网格获得性能良好的曲面,而且可以通过选取不同的ε值调整生成曲面形状,满足工程需要.