| C-B样条曲线与T-B样条曲线的G1拼接 |
| |
| 引用本文： | 刘旭敏,黄厚宽,徐维祥.C-B样条曲线与T-B样条曲线的G1拼接[J].北京交通大学学报(自然科学版),2007,31(6):119-122,127. |
| |
| 作者姓名： | 刘旭敏 黄厚宽 徐维祥 |
| |
| 作者单位： | 北京交通大学计算机与信息技术学院,北京,100044;首都师范大学,信息工程学院,北京,100037;北京交通大学计算机与信息技术学院,北京,100044;北京交通大学交通运输学院,北京,100044 |
| |
| 基金项目： | 北京市教委科技发展计划项目 |
| |
| 摘 要： | 在对T-B样条基函数及曲线端点特性分析的基础上提出了n 1阶T-B样条基函数表达式及求解方法.给出了C-B样条曲线与T-B样条曲线的G1拼接条件.在这种条件下,当C-B样条曲线和T-B样条曲线拼接时,可增加控制顶点使C-B样条曲线通过控制多边形的首末顶点,并与首末边相切.并给出应用实例,即利用T-B样条曲线能精确表示半椭圆弧(半圆弧)的特点,与C-B样条曲线进行G1拼接,从而解决了C-B样条曲面造型中无法精确表示半椭圆弧(半圆弧)的问题.
|
| 关 键 词： | C-B样条 T-B样条 曲线拼接 几何造型 |
| 文章编号： | 1673-0291（2007）06-0119-04 |
| 收稿时间： | 2007-08-31 |
| 修稿时间： | 2007年8月31日 |
G1 Condition for C-B Spline Curves and T-B Spline Curves |
| |
| LIU Xu-min,HUANG Hou-kuan,XU Wei-xiang.G1 Condition for C-B Spline Curves and T-B Spline Curves[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2007,31(6):119-122,127. |
| |
| Authors: | LIU Xu-min HUANG Hou-kuan XU Wei-xiang |
| |
| Abstract: | Based on the analysis of T-B-spline basis functions and the properties of the begin point and end point,the paper presents(n 1)th-order uniform TB-spline basis function and its solution.We also give G1 blending condition of C-B spline curves and T-B spline curves.Under this condition,when C-B spline and T-B-spline curve blend with each other,we can control the begin point and end point of the controlling vertex through the increased controlling points,thus make the C-B spline curves pass boundary vertexes and render its tangent direction parallel to boundary edges.We also give some examples,i.e.using C-B spline curves to represent the semicircle and semi-ellipse,which overcomes the limitation of C-B spline surface modeling in terms of the accuracy when semicircles and semi-ellipses. |
| |
| Keywords: | C-B spline T-B spline curve matching geometric modeling |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
