| B样条曲面间G1连续条件及局部格式构造问题 |
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| 引用本文： | 高占恒,梁学章,高福顺,马婷. B样条曲面间G1连续条件及局部格式构造问题[J]. 计算机辅助设计与图形学学报, 2007, 19(7): 866-870 |
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| 作者姓名： | 高占恒 梁学章 高福顺 马婷 |
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| 作者单位： | 吉林大学数学研究所,长春,130012;北华大学数学系,吉林,132011 |
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| 摘 要： | 研究了内部单节点张量积B样条曲面间G1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G1连续曲面的算法.最后给出了计算实例.
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| 关 键 词： | B样条曲面 G1连续 局部格式 |
| 收稿时间： | 2007-05-09 |
| 修稿时间： | 2007-05-09 |
Research on G1 Continuity Conditions between B-Spline Surfaces and Construction of Local Scheme |
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| Gao Zhanheng,Liang Xuezhang,Gao Fushun,Ma Ting. Research on G1 Continuity Conditions between B-Spline Surfaces and Construction of Local Scheme[J]. Journal of Computer-Aided Design & Computer Graphics, 2007, 19(7): 866-870 |
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| Authors: | Gao Zhanheng Liang Xuezhang Gao Fushun Ma Ting |
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| Affiliation: | 1 institute of Mathematics, Jinlin University, Changchun 130012;2 Department of Mathematics, Beihua University, Jilin 132011 |
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| 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 to construct a G^1 continuous surface of biquartic B-spline surface patches with single interior knots by carrying out local scheme. |
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| Keywords: | B-spline surface G^1 continuity local scheme |
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