NURBS曲面的四边形网格的分割与逼近

An Algorithm for Subdividing and Approximating NURBS Surface into Quadrilateral Mesh

介绍了一个用于对NURBS曲面进行四边形网格的分割与逼近的算法。该算法采用二叉树递归分割的方法分割和逼近曲面,所分割的四边形除了在高度方向和曲面边界处满足给定精度外,同时在四边形四条边界满足给定的切矢精度。实例测试结果表明,用本文所述算法生成的四边形网格具有网格逼近原曲面、网格四边形接近于规则四边形等特点。

This paper describes the basic principle and implementing method for subdividing and approximating NURBS surface and generating quadrilateral mesh. A recursive method is presented to subdividing and approximating NURBS surface. The generated quadrilateral mesh satisfies both the shape deviation accuracy and boundary slope accuracy of the original surface. This method can generate high quality mesh. The generated quadrilateral elements approximate the original NURBS surface and are similar to regular quadrilateral form.