Bézier曲面的G^1保凸拼接  

G～1 Convexity Preserving Connection for Bezier Surface Patches

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,长沙410003 [2]湖南农业大学信息科学技术学院,长沙410128

出　　处：《软件》2011年第12期65-67,共3页Software

基　　金：国家自然科学基金(编号60773110);湖南省科技重大专项(编号2010J05)资助

摘　　要：利用参数曲面的几何连续性条件,导出了有公共边界线的两个Bézier曲面保凸G1拼接的充分条件。讨论了二次Bezier曲面的G1和G2保凸拼接方法。最后,给出了二次Bezier曲面的G1和G2保凸拼接实例。The composite surfaces play an important role in computer aided geometrical design. In this paper, based on the geometrical continuity conditions of surfaces, the sufficient conditions for G1 convexity preserving connection between two adjacent quadratic Bezier surfaces are derived. The convexity preserving algorithms for G1 and G2connection between two adjacent quadratic Bezier surface patches are discussed. Finally, a few examples are given.

关 键 词：BÉZIER曲面 几何连续性 凸性 保凸拼接 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]