基于三角Bézier曲面的三角网格模型光顺算法  

Smoothing Algorithm Based on Bézier Surface for Triangular Mesh Surface

作　　者：王超[1] 孙殿柱[1] 李心成[1] 李延瑞[1] 

机构地区：[1]山东理工大学机械工程学院,淄博255091

出　　处：《机械设计与制造》2012年第10期12-14,共3页Machinery Design & Manufacture

基　　金：国家自然科学基金(51075247);山东省自然科学基金资助项目(ZR2010EM008)

摘　　要：针对三角网格模型整体光顺效果较差的问题,提出一种基于三角Bézier曲面的三角网格模型光顺算法,该算法采用R*S树组织三角网格模型的动态索引,对三角网格模型进行精确保形精简,根据保形精简后三角网格模型型面几何特征构造整体G1连续三角Bézier曲面,将其作为三角网格模型的光顺参考曲面。通过将三角网格顶点映射于光顺参考曲面上,实现三角网格模型的光顺处理。实例证明该算法可对各种复杂型面的三角网格模型获得理想的整体光顺效果,并有效保留原模型的型面特征。According to the problem of poor whole smoothing effect for triangular mesh model, a new smoothing algorithm of triangular mesh surface is proposed,which includes four steps ：first,the topological structure of the mesh surface was organized by the R＇S-tree index structure;second,the triangular mesh surface was simplified non-uniformly based on the R＇S-tree index structure;third,constructing the whole G1 triangular Bezier surface according to geometric feature of the simplified model,which makes the trian- gular Bezier surface the smoothing reference surface;forth,though the calculation of the point on the Bezier surface corresponding to the parametric triangular mesh model vertex,adjusting the mesh vertex to the ref- erence surface in order to realize the smoothing treatment.Experimental results demonstrate that this method has desirable smoothing effects and the features of the triangular mesh surface are remained effectively.

关 键 词：三角网格模型 保形精简 三角BÉZIER曲面 三角网格模型光顺 

分 类 号：TH16[机械工程—机械制造及自动化] TP391.72[自动化与计算机技术—计算机应用技术]