|
|||||
|
|
| 代数双曲空间中拟Legendre基的应用 | |
| 引用本文： | 王燕,檀结庆,李志明.代数双曲空间中拟Legendre基的应用[J].工程图学学报,2012,33(2):53-56. |
| 作者姓名： | 王燕 檀结庆 李志明 |
| 作者单位： | 1. 合肥工业大学计算机与信息学院,安徽合肥,230009 2. 合肥工业大学计算机与信息学院,安徽合肥230009;合肥工业大学数学学院,安徽合肥230009 3. 合肥工业大学数学学院,安徽合肥,230009 |
| 基金项目： | 国家自然科学基金资助项目(60773043,61070227);教育部科学技术研究重大资助项目(309017) |
| 摘 要： | 鉴于Legendre基等正交基在代数多项式空间中的广泛应用,论文在深入研究代数双曲空间的拟Legendre基性质的基础上,给出了其在反函数逼近和等距曲线逼近上的应用。利用多项式和双曲函数的混合多项式序列来逼近反函数,并通过实例证明给出方法的有效性;对基曲线的法矢曲线进行逼近,构造H-Bézier曲线的等距曲线的最佳逼近,这种方法直接求得逼近曲线的控制顶点,计算简单,截断误差小。 |
| 关 键 词： | H-Bézier基 拟Legendre基 反函数 等距曲线 |
The application of a quasi-Legendre basis in the hyperbolic hybrid polynomial space |
|
| Wang Yan , Tan Jieqing , Li Zhiming.The application of a quasi-Legendre basis in the hyperbolic hybrid polynomial space[J].Journal of Engineering Graphics,2012,33(2):53-56. | |
| Authors: | Wang Yan Tan Jieqing Li Zhiming |
| Affiliation: | 1.School of Computer and Information,Hefei University of Technology,Hefei Anhui 230009,China; 2.School of Mathematics,Hefei University of Technology,Hefei Anhui 230009,China) |
| Abstract: | In view of the wide usage of the orthogonal basis such as Legendre basis in the algebra polynomial space,the applications of the quasi-Legendre basis in inversion and offsetting approximations are given in this paper.Inversion approximation is constructed by using the blending of polynomial and hyperbolic functions,and the experimental results show that the approximation method is effective.An approach to approximate the offset curves of the H-Bézier curve based on the ideal approximation for the normal curve is presented.The algebraic approximation algorithms which can obtain the control points of the approximation curves directly are simple and more precise. |
| Keywords: | H-Bézier basis quasi-Legendre basis inverse function offset curve |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
