| 在几何和参数上表示同一条曲线的两条有理NURBS曲线的权与控制顶点之间的关系 |
| |
| 引用本文： | 冯仁忠,王仁宏,等.在几何和参数上表示同一条曲线的两条有理NURBS曲线的权与控制顶点之间的关系[J].东北数学,2003,19(1):68-74. |
| |
| 作者姓名： | 冯仁忠 王仁宏 等 |
| |
| 作者单位： | Institute of Mathematical Sciences，Dalian University of Technology，Dalian，116024，Institute of Mathematical Sciences，Dalian University of Technology，Dalian，116024，Institute of Mathematical Sciences，Dalian University of Technology，Dalian，116024 |
| |
| 基金项目： | The NNSF(69973010)of China. |
| |
| 摘 要： | The paper discusses the relationship between weights and control vertices of two rational NURBS curves of degree two or three with all weights larger than zero when they represent the same curve parametrically and geometrically, and gives sufficient and necessary conditions for coincidence of two rational NURBS curves in non-degeneracy case.
|
| 关 键 词： | 权 控制顶点 NURBS曲线 几何 参数 计算机辅助设计 Bezier曲线 表示方法 B样条曲线 |
The Relationship Between Weights and Control Vertices of Two Rational NURBS Curves Representing the Same Curve Parametrically and Geometrically |
| |
| FENG Renzhong WANG Renhong and LUO Zhongxuan.The Relationship Between Weights and Control Vertices of Two Rational NURBS Curves Representing the Same Curve Parametrically and Geometrically[J].Northeastern Mathematical Journal,2003,19(1):68-74. |
| |
| Authors: | FENG Renzhong WANG Renhong and LUO Zhongxuan |
| |
| Institution: | InstituteofMoathematicalSciences,DalinaUniversityofTechnology,Dalian,116024 |
| |
| Abstract: | The paper discusses the relationship between weights and control vertices of two rational NURBS curves of degree two or three with all weights lager than zero when they represent the same curve parametrically and geometrically,and gives sufficient and necessary conditions for coincidences of two rational NURBS curvbes in non-degeneracy case. |
| |
| Keywords: | rational NURBS curve weight control vertex |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
