基于OpenGL的双三次B样条曲面分类与实现  

Bi-cubic B-spline Surface Classification and Implementation Based on OpenGL

作　　者：赵越[1] 吴初汉[1] 

机构地区：[1]云南大学数学系,昆明650091

出　　处：《实验科学与技术》2008年第3期47-50,共4页Experiment Science and Technology

基　　金：云南大学中青年骨干教师培养计划专项经费资助项目;云南大学理(工)科校级科研重点项目(2003010)

摘　　要：首先,根据双三次B样条曲面的定义对双三次B样条曲面按节点向量中的分布情况不同,将其分为均匀的双三次B样条曲面、开放性均匀双三次B样条曲面、分段Bezier双三次B样条曲面、非均匀双三次B样条曲面4种类型,同时阐述了4种类型按控制点和节点向量对曲面控制的优缺点。然后,利用OpenGL中给定的函数从向量间距确定,双三次B样条网格特征定义到双三次B样条曲面的接口函数使用,完成上述各类双三次B样条曲面的绘制。According to the different distribution of bi-cubic B-spline surface nodes, it can be divided into the following types： uniform bi-cubic B-spline surface, open uniform bi-cubic B-spline surface, sub-Bezier bi-cubic B-spline surface and non-uniform bi-cubic B-spline surface. The advantages and disadvantages of control on the surface are presented for the four types. Using OpenGL function in a given distance from the vector identified, bi-cubic B-spline grid feature definition to hi-cubic B-spline surface of the interface functions to use, various types of hi-cubic B-spline surface mapping are implemented.

关 键 词：双三次B样条曲面 开放图形处理库 分类 非均匀B样条 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]