| 三次Bezier曲线与三次均匀B样条曲线的光滑拼接 |
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| 引用本文： | 耿紫星.三次Bezier曲线与三次均匀B样条曲线的光滑拼接[J].甘肃联合大学学报(自然科学版),2007,21(3):58-61. |
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| 作者姓名： | 耿紫星 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 基金项目： | 教育部重点技术项目
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甘肃省科技攻关项目 |
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| 摘 要： | 利用三次B样条曲线能转化为三次Bezier曲线的方法,把三次Bezier曲线与三次B样条曲线之间的拼接问题转化为三次Bezier曲线与三次Bezier曲线之间的拼接问题,分别给出了三次Bezier曲线与三次B样条曲线的G0、G1、G2光滑拼接定理.
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| 关 键 词： | Bezier曲线 B样条曲线 光滑拼接 |
| 文章编号： | 1672-691X(2007)03-0058-04 |
| 修稿时间： | 2007年3月8日 |
Smooth Connection between Cubic Bezier Curves and Cubic B-spline Curves |
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| GENG Zi-xing.Smooth Connection between Cubic Bezier Curves and Cubic B-spline Curves[J].Journal of Gansu Lianhe University :Natural Sciences,2007,21(3):58-61. |
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| Authors: | GENG Zi-xing |
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| Abstract: | Using the property that cubic B-spline curve can change into Cubic Bezier Curve,the problem of connection between cubic Bezier curves and cubic B-spline Curves is changed into another problem,connection between cubic Bezier curves,three theorems about,and continuity of connection between cubic Bezier curves and cubic B-spline Curves are given respectively in this paper. |
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| Keywords: | Bezier curves B-spline Curves smooth connection |
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