基于高光线模型修改NURBS曲面不光顺性

Removing Local Unfairness of NURBS Surfaces Based on High Light Line Model

高光线模型是一种评估曲面光顺性的强有力工具 提出一种基于高光线模型修改NURBS曲面不光顺性的新方法 ,将高光线模型对应的非线性方程组转化成线性方程组 ,从而大大简化了问题的复杂性 ,修改后的控制点通过解一组线性方程求得 新NURBS曲面的某些点具有指定的法方向 该方法直观、适用于实时交互设计 ,通过简单的操作就能修改NURBS曲面 ,从而使其具有良好的光顺性

The highlight line model is a powerful tool in assessing the fairness of a surface A new method is presented to remove the local unfairness of NURBS surface by adjusting its normal vectors The nonlinear equations of highlight line model is transformed into linear equations, and hence greatly reduce the complexity of computation Modification of the control points of the surface is achieved by solving a system of linear equations The new NURBS surface have the certain normal that designer specifies The method is intuitive and suitable for real time interactive design, it allows a designer to improve the fairness of NURBS surface by simple operations Examples of testing the effectiveness of the new method are included