| 二次有理B样条曲线曲率单调条件 |
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| 引用本文： | 李重,韩丹夫.二次有理B样条曲线曲率单调条件[J].浙江大学学报(理学版),2003,30(1):23-26. |
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| 作者姓名： | 李重 韩丹夫 |
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| 作者单位： | 浙江大学,数学系,浙江,杭州,310028 |
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| 基金项目： | 国家重点基础研究专项经费资助项目(批准号:G1998030401) |
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| 摘 要： | 通过建立斜坐标系,简化计算过程,推导出了二次有理B样条曲线曲率的单调条件.并与二次有理B(?)zier曲线的曲率单调条件相比较,结果表明:二次有理B样条曲线曲率单调的充要条件与二次有理B(?)zier曲线相类似,但其条件又有不同.
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| 关 键 词： | 斜坐标系 曲率单调 二次有理B样务曲线 二次有理Bézier曲线 |
| 文章编号： | 1008-9497(2003)01-023-04 |
| 修稿时间： | 2001年6月9日 |
Curvature monotony condition for the quadratic rational B spline curves |
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| LI Zhong,HAN Dan-fu.Curvature monotony condition for the quadratic rational B spline curves[J].Journal of Zhejiang University(Sciences Edition),2003,30(1):23-26. |
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| Authors: | LI Zhong HAN Dan-fu |
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| Abstract: | The curvature monotony condition for the quadratic rational B spline curve is derived by using the skew coordinate system that can reduces the calculation process. And the curvature monotony condition is compared to the quadratic rational Bezier curves'. The result shows that the sufficient and necessary condition of the quadratic rational B spline curve's curvature monotony is similar to the quadratic rational Bezier curves',but its condition is some what different from the quadratic rational Bezier curves'. |
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| Keywords: | skew coordinate system curvature monotony rational B spline curve rational Bezier curve |
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