基于反射线模型修改NURBS曲面不光顺性  

Removing local unfairness of NURBS surfaces based on reflection line model

作　　者：高斌[1] 朱景华[1] 徐振宇[1] 宋小文[2] 

机构地区：[1]温州职业技术学院机械工程系,浙江温州325035 [2]浙江大学机械与能源工程学院,浙江杭州310027

出　　处：《机电工程》2007年第8期58-60,共3页Journal of Mechanical & Electrical Engineering

基　　金：教育部留学回国人员科研启动基金资助项目(教外司留(2004)527号)

摘　　要：反射线模型是一种评估曲面光顺性的强有力工具。提出了一种基于反射线模型修改NURBS曲面局部不光顺性的新方法,将反射线不规则部分用期望形状的5次B样条曲线替换,通过指定新反射线部分点的入射线方向,将所得反射线修改模型对应的非线性方程组转化成线性方程组,大大简化了问题的复杂性。新NURBS曲面具有指定的反射线形状,某些点具有间接确定的法线方向。该方法直观、适用于实时交互设计。最后以实例验证了算法的有效性。The reflection line model is a powerful tool in assessing the fairness of a surface. A new method was presented to remove the local unfairness of NURBS surface by adjusting reflection lines and specifying theirs incident ray vectors. The nonlinear equations of reflection-line modification model was transformed into linear equations, and hence greatly reduced the complexity of computation. The new NURBS surface has the certain reflection lines that designer specifies, and some point on the new surface has the certain normal that designer specifies indirectly. The method is intuitive and suitable for real-time interactive design. The effectiveness of the new method is proved by example.

关 键 词：反射线 NURBS曲面 光顺性 形状修改 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]