具有规整曲率线网的光滑曲面设计  

Design of Smooth Surfaces with Regular Network of Curvature Curves

作　　者：郑荟莹 伯彭波[1] ZHENG Hui-ying;BO Peng-bo(School of Computer Science and Technology,Harbin Institute of Technology(Weihai),Weihai Shandong 264209,China)

机构地区：[1]哈尔滨工业大学(威海)计算机科学与技术学院,山东威海264209

出　　处：《图学学报》2019年第1期46-53,共8页Journal of Graphics

基　　金：国家自然科学基金项目(61672187);山东省重点研发计划项目(2018GGX103038);模式识别国家重点实验室开放课题项目(201800013)

摘　　要：为了设计具有规整曲率线网且无脐点的光滑曲面,提出一种曲面交互设计算法。采用Bézier曲面片光滑拼接构成的复合曲面作为表达形式,通过交替曲率线网的优化和曲面细分得到自由形状的设计曲面,所得曲面具有规整曲率线网而且没有脐点。以此复合Bézier曲面为基础,通过圆纹样条曲面优化算法得到结构规整的圆纹样条曲面,同时也能得到圆锥曲面条模型以及曲面多层支撑结构等自由建筑曲面设计中有重要应用的几何结构。A new algorithm is proposed for the design of a smooth surfaces which is required to have a regular mesh of curvature curves without any umbilical points.A composite surface as smoothly joint by Bézier surface patches is used in the design procedure.By the alternative steps of optimization of curvature line networks and surface subdivision,the free from surface is generated which has a regular network of curvature curves without an umbilical point.Based on the resultant surface,a cyclide spline surface with regular structures,conical strip models and multi-layer support structures for freeform architectural surface design are easily obtained.

关 键 词：曲率线网 圆纹曲面 脐点 曲面设计 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]