B-样条曲面的保凸拼接  

Convexity preserving connection for B-spline surfaces

作　　者：金席卷[1] 姚杰[2] 方逵[2] 

机构地区：[1]长沙大学电子与通信工程系,湖南长沙410003 [2]湖南农业大学信息科学技术学院,湖南长沙410128

出　　处：《微型机与应用》2011年第23期51-53,共3页Microcomputer & Its Applications

基　　金：湖南省科技重大专项(2010J05)

摘　　要：利用参数曲面局部凸的条件,导出了(准)均匀B-样条曲面局部凸的充分条件。证明了带有凸的平行四边形控制子网格的(准)均匀B-样条曲面片的凸的。给出了(准)均匀B-样条曲面保凸拼接的控制顶点算法,并给出了几个三次B-样条曲面保凸拼接实例。In this paper, based on the locally convex conditions of parametric surfaces, the sufficient conditions of locally convex uniform B-spline surfaces are derived. It proves that the uniform B-spline surfaces patches with the parallel quadrilateral control nets are the convex surfaces. The algorithms for convexity preserving connection for uniform B-spline surfaces are given. Finally, a few examples are given.

关 键 词：B-样条曲面 平行四边形控制子网格 凸性 保凸拼接 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]