回转曲面的测地线求解方法  

Method for Solving Geodesic Line on Revolving Surface

作　　者：马惠仙[1] 郑鹏飞[1] 赵菊娣[1] MA Huixian;ZHENG Pengfei;ZHAO Judi(School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China)

机构地区：[1]华东理工大学机械与动力工程学院,上海200237

出　　处：《图学学报》2017年第2期170-173,共4页Journal of Graphics

摘　　要：当回转曲面上测地线两端点边界条件一定时,根据Clairant定理设计一种形、数、计算机结合的方法求解测地线。避开传统的用偏微分方程组求解的抽象性和复杂性,基于作图过程建立对应数学模型,最终由计算机绘制测地线。该方法适合于回转曲面,具有形象直观、精度可控、稳定可靠的优点。When the boundary conditions of the two ends of the geodesic lines on the revolving surface are given,according to the Clairant theorem,a kind of shape,number and computer combination method is designed.To avoid the abstraction and complexity of the traditional solution of partial differential equations,the corresponding mathematical model based on the mapping process is established,and finally the geodesic line is drawn.The proposed method is suitable for the revolving surface,which possesses the advantages of visual image,controllable precision,stable and reliable.

关 键 词：回转曲面 测地线 Clairant定理 算法设计 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]