节点文献
B样条曲面间G~1连续条件及局部格式构造问题的研究
Research on G~1 Continuity Conditions between B-spline Surfaces and Construction of Local Scheme
【Author】 Gao Zhanheng~1 Liang Xuezhang~1 Gao Fushun~2 Ma Ting~1 (1 Institute of Mathematics,Jinlin University,Changchun 130012; 2 Department of Mathematics,Beihua University,Jilin 132011)
【摘要】 本文详细研究了内部单节点张量积B样条曲面间G~1连续的条件。通过选择特殊类型的拼接函数,打破了公共边界必须是整体多项式曲线的限制,给出了以内部单节点双四次B样条曲面为工具,使用局部格式构造G~1连续曲面的算法,并给出了计算实例。
【Abstract】 The G~1 continuity conditions between tensor product B-spline surfaces with single interior knots are studied.By means of selecting a special kind of blending functions,we broke the restriction that the common boundary must be a polynomial curve.Then we presented an algorithm for constructing a G~1 continuous surface with biquartic B-spline surface patches with single interior knots by carrying out local scheme.
- 【会议录名称】 中国几何设计与计算新进展2007——第三届中国几何设计与计算大会论文集
- 【会议名称】第三届全国几何设计与计算学术会议
- 【会议时间】2007-07-15
- 【会议地点】中国甘肃兰州;中国甘肃敦煌
- 【分类号】O186.11
- 【主办单位】中国工业与应用数学学会几何设计与计算专业委员会