拓扑优化结果的多视图参数化几何重构方法  

Multi-view Parametric Geometry Reconstruction Method for Optimum Topologic Results

作　　者：周涛[1,2] 段薇[3] 胡三宝[1,2] 刘继鹏 韩忠磊 ZHOU Tao;DUAN Wei;HU Sanbao;LIU Jipeng;HAN Zhonglei(Hubei Province Key Laboratory of Modern Automotive Technology,Wuhan University of Technology,Wuhan 430070,China;Hubei Collaborative Innovation Center for Automotive Components Technology,Wuhan University of Technology,Wuhan 430070,China;Wuhan Maritime Communication Research Institute,Wuhan 430079,China)

机构地区：[1]武汉理工大学现代汽车零部件技术湖北省重点实验室,湖北武汉430070 [2]武汉理工大学汽车零部件技术湖北省协同创新中心,湖北武汉430070 [3]武汉船舶通信研究所,湖北武汉430079

出　　处：《数字制造科学》2019年第1期68-72,共5页

基　　金：国家自然科学基金资助项目(51305314)

摘　　要：针对拓扑优化结果表示为单元密度的等值面存在复杂的锯齿状边缘,不便后续参数化几何建模及零件加工的问题,提出了一种基于多方向视图的拓扑优化结果自动参数化重构方法。首先将单元密度等值面转化为均匀的点云;然后将多边形近似的边扩展为直线和圆弧,用扩展多边形近似重构点云在多个投影平面(包括三视图和局部方向视图)上的参数化二维轮廓,并构造选择和评价函数来选择最佳二维轮廓,平滑连接邻边;之后将二维轮廓沿投影方向(笛卡尔坐标或自然坐标)拉伸得到实体;最后通过坐标变换将构造实体变换到全局坐标系下,再通过布尔运算得到参数化三维实体模型。The optimal topologic results are usually expressed as the isosurface in unit density.The complex zigzag edge of these isosurfaces are not suitable for the subsequent parametric modeling of the geometry or the manufacturing of the components.In this work,an automatic parametric reconstruction method based on multi-view is proposed.Firstly,the isosurfaces have been converted into homogeneous point cloud.Then,the parametric 2 D contour of point cloud on multiple projection planes(including three views and local direction views)is reconstructed by extending the polygons into straight line and circular arc.The best 2 D contour’s adjacent edges are connected smoothly,which is selected by applying evaluating function.Thus,the entity can be constructed by extruding the 2 D contour along the projection direction(descartes or natural coordinates).The multi entity are then converted to global coordinates based on Boolean operations,thereby obtaining the 3 D parametric entity.

关 键 词：拓扑优化 多视图 多边形近似 几何重构 

分 类 号：TH122[机械工程—机械设计及理论]