三角网格模型变形设计  

Innovative Deformation Design of Triangular Mesh Model

作　　者：孙殿柱[1] 田中朝[1] 李延瑞[1] 李心成[1] 

机构地区：[1]山东理工大学机械工程学院,淄博255091

出　　处：《农业机械学报》2010年第3期223-226,共4页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家"863"高技术研究发展计划资助项目(2006AA04Z105)

摘　　要：提出了一种三角网格模型变形算法,采用最小二乘法求解三角网格模型变形设计的参考曲面,将网格顶点向参考曲面投影,建立网格顶点与投影点间的映射关系,通过调整参考曲面控制顶点,根据投影点位移量调整网格顶点坐标,采用三角Bézier曲面理论进行网格模型光顺处理,实例证明该方法可准确控制模型形状,有效提高三角网格模型的光顺性及变形设计效率。A design algorithm of a triangular mesh model was proposed,that included four steps： first,the reference surface of the triangular mesh model was obtained with least square method;second,the projection point of vertex on mesh was calculated and the mapping relationship of mesh vertex and projection point was built;third,the coordinates of mesh vertexes were changed according to the displacement of projection points when adjusting the control points of reference surface;and fourth,the fairing of mesh model was built with triangular Bézier surface design method,which proved that the deformation region of triangular mesh model was effectively controlled.The smoothness of mesh model and the efficiency of innovative deformation designing have been improved effectively.

关 键 词：三角网格模型 参考曲面 三角BÉZIER曲面 光顺处理 变形设计 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]