基于边界曲线的拟可展曲面构造方法及在船体造型中的应用  

Quasi-developable Surface Construction Based on Boundary Curve and Its Application in ShipHull Design

作　　者：郑玉健[1] 伯彭波[1] Zheng Yujian;Bo Pengbo(School of Computer Science and Technology Harbin Institute of Technology,Weihai 26420)

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

出　　处：《计算机辅助设计与图形学学报》2018年第7期1243-1250,共8页Journal of Computer-Aided Design & Computer Graphics

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

摘　　要：为了降低船体制造的成本,基于可展曲面的船体造型,提出以给定型线为边界曲线的拟可展曲面构造方法.给定2条相邻的型线,构造以给定型线为边界的拟可展曲面.首先生成插值型值点的B样条曲线作为型线;然后在型线上寻找可展曲面的近似母线并根据这些母线构造初始直纹面;再通过求解带可展性约束的曲面边界拟合问题,找到给定边界曲线附近虚拟边界之间的一个连续映射关系,定义可展曲面上母线的位置;最后将虚拟边界曲线的映射关系投影到给定边界并进行插值,得到插值给定边界曲线的拟可展曲面.实验结果表明,该方法可生成满足实际制造要求的船体拟可展曲面.A novel method is proposed for quasi-developable surface construction between two boundary curves. Different from existing methods which construct a developable surface by connecting finite sampling points of two curves, the present method allows continuous mapping between boundary curves, which enhances the ability of searching for better developable surface. This method directly generates a developable B-spline surface whose boundaries interpolate target profile curves, as a contrast to existing approaches which construct smooth developable surfaces by joining surface patches. Moreover, with the present method, it is easy to control the overall smoothness of surface and avoid emergence of regression curves inside concerned surface region. The method is applied to several ship hull data and quasi-developable surfaces which meet manufacturing requirements are successfully generated.

关 键 词：可展曲面 船体造型 B样条 插值 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]