摘要
为了得到全局G1连续的曲面模型 ,给出了带有边界约束的散乱数据点B样条曲面最小二乘逼近重构方法 ,并以四边界位置约束和四边界跨界切矢约束情况为例 ,进行了详细讨论 实验表明 ,文中给出的方法可以使曲面模型达到近似G1连续 。
In order to obtain a globally G 1 continuous surface model, least square approximation of B spline surfaces to scattered data with complicated boundary constraints is applied As an example, solution to the most complex constraining conditions of continuity over four boundaries and cross boundary tangency is addressed in detail Application shows that the surface model can reach approximate global G 1 continuity and satisfy the engineering requirements
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2003年第12期1549-1553,共5页
Journal of Computer-Aided Design & Computer Graphics
基金
国家"八六三"高技术研究发展计划 (863 5 11 942 0 18)
教育部优秀骨干教师基金
教育部博士点专项基金 (980 3 3 5 3 2 )资助
关键词
B样条
曲面逼近
边界约束
反求工程
CAD
计算机辅助设计
surface approximation
scattered point
boundary constraints
geometric continuity
reverse engineering
