四点法曲面造型的自然边界条件  

Natural Boundary Conditions of 4-point Theory for Surface Design

作　　者：梁景鸿[1] 吴广潮[1] 丘东涛[1] 汪国强[1] 

机构地区：[1]华南理工大学应用数学系,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2003年第11期88-91,共4页Journal of South China University of Technology(Natural Science Edition)

摘　　要：研究四点插值细分法在曲线曲面造型应用中的边界条件确定问题 .针对四点法的特点 ,对传统几何造型技术中常用的非线性自然边界条件决定方法进行改进 ,基于等腰梯形四点共圆的事实 ,提出通过求轴对称点而得自然边界点的线性方法 ,很好地解决了四点法在曲面造型应用中的关键问题 .A solution to the boundary conditions of 4-point interpolatory subdivision scheme in the application to curve and surface modeling was studied. Combineing with 4-point scheme,the traditional non-linear method for natural boundary conditions in geometric modeling is improved. Based on the fact that vertexes of an isosceles trapezoid are concyclic,a linear method is brought forward for natural-boundary-point by getting axisymmetric point. Hence the key problem concerning the application of 4-point theory to surface modeling is well resolved.

关 键 词：自然边界条件 四点法 线性 插值 

分 类 号：O241.3[理学—计算数学]