| 带形状参数的二次非均匀B样条曲线 |
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| 引用本文： | 谢进,邓四清. 带形状参数的二次非均匀B样条曲线[J]. 合肥学院学报(自然科学版), 2008, 18(2): 24-27 |
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| 作者姓名： | 谢进 邓四清 |
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| 作者单位： | 合肥学院,数学与物理系,合肥,230601;合肥工业大学,计算机与信息学院,合肥,230009;湘南学院,数学系,湖南,郴州,423000 |
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| 基金项目： | 国家自然科学基金 , 安徽省教育厅科技创新团队基金 , 安徽省教育厅自然科学基金 , 湖南省教育厅科研项目 |
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| 摘 要： | 提出一类带形状参数的二次非均匀B样条曲线，这类曲线对于非均匀节点为C^1-连续．与二次非均匀B样条曲线相比，带形状参数的二次非均匀B样条曲线的形状既能整体又能局部变化，并且能从两侧逼近控制多边形．此外，不用解方程组，就能直接插值控制点或控制边．最后给出了一些可调控曲面的实例．
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| 关 键 词： | B样条曲线 形状参数 整体与局部调控 插值 |
| 文章编号： | 1673-162X(2008)02-0024-04 |
| 修稿时间： | 2008-03-18 |
Quadratic Non-uniform B-spline Curves with Shape Parameters |
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| XIE Jin,DENG Si-qing. Quadratic Non-uniform B-spline Curves with Shape Parameters[J]. Journal of Hefei University(Natural Sciences Edition), 2008, 18(2): 24-27 |
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| Authors: | XIE Jin DENG Si-qing |
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| Affiliation: | XIE Jin,DENG Si-qing(1. Department of Mathematics and Physics, Hefei University, Hefei 230601 ; 2. School of Computer and hfformation, Hefei University of Technology, Hefei 230009 ; 3. Department of Mathematics, Xiangnan University, Chenzhou,Hunan 423000, China) |
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| Abstract: | A method of generating quadratic non-uniform B-spline curves with shape parameters is presented in this paper. It is C^1-continuous with a non-uniform knot vector. Compared with the quadratic non-uniform B-spline curves without shape parameters, the shapes of the curves with shape parameters can be adjusted totally or locally and approached to the given polygon from both sides. Without solving system of equations, the curves can interpolate control points and control sides directly. And some illustrations of surfaces shape modifying are presented. |
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| Keywords: | B-spline curve shape parameters totally or locally adjust interpolation |
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