| 二次均匀B样条曲线的新扩展及应用 |
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| 引用本文： | 郭怀天,黄有度.二次均匀B样条曲线的新扩展及应用[J].合肥工业大学学报(自然科学版),2012(1):138-140. |
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| 作者姓名： | 郭怀天 黄有度 |
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| 作者单位： | 合肥工业大学数学学院 |
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| 基金项目： | 国家科技支撑计划资助项目(2008-BAF35B05) |
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| 摘 要： | 文章给出含2个参数λi、μi的三次和四次多项式调配基函数,并将其推广到高次形,它们都是二次B样条基函数的推广;基于给出的调配函数,建立带双参数的分段多项式曲线,讨论了基函数的性质和参数的几何意义;最后给出实例,表明新推广的曲线为曲线设计提供了一种有效的方法。
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| 关 键 词： | 二次均匀B样条 调配函数 局部型参数 曲线设计 G2连续 |
New extensions of quadratic uniform B-spline curve and its applications |
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| GUO Hu ai-tian,HUANG You-du.New extensions of quadratic uniform B-spline curve and its applications[J].Journal of Hefei University of Technology(Natural Science),2012(1):138-140. |
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| Authors: | GUO Hu ai-tian HUANG You-du |
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| Affiliation: | (School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | A class of polynomial basis functions of degree 3 and degree 4 with two parameters λi,μi are presented in this paper,which are the extensions of the uniform quadratic B-spline basis functions and can be extended to the case of degree n.Based on these blending functions,a method of generating piecewise polynomial curves with two parameters is given.The properties of the basis functions and the geometric meaning of the parameters are discussed.The examples of the curve design given in this paper show that these new curves provide a very effective method for curve design. |
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| Keywords: | quadratic uniform B-spline blending function local shape parameter curve design G2 continuity |
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