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
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摘要: 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.还给出了测试文中方法有效性的实例.Abstract: 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 rea-l 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.
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