| 摘要: |
| 给出了n阶带形状参数的双曲多项式均匀B样条基函数.由带形状参数的双曲多项式均匀B样条基组成的样条曲线可通过改变形状参数的取值调整曲线的形状,并且可以精确表示双曲线.随着阶数的升高,形状参数的取值范围将扩大. |
| 关键词: 均匀B样条 基函数 计算机辅助几何设计 形状参数 插值 |
| DOI： |
| 分类号: |
| 基金项目:Supported bythe National Natural Science Foundation of China under Grant No.10371110(国家自然科学基金);the National Grand Fundamental Research 973 Program ofChina under Grant No.G2002CB12101(国家重点基础研究发展规划(973)) |
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| Hyperbolic Polynomial Uniform B-Spline with Shape Parameter |
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WANG Wen-Tao,WANG Guo-Zhao
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| Abstract: |
| The basis function of n order hyperbolic polynomial uniform B-spline with shape parameter is constructed so that the shape of the constructed curve can be adjusted by changing the parameter value. The hyperbola can be represented with this basis function accurately. With elevation of the order, feasible range of the shape parameter value is extended. |
| Key words: uniform B-spline basis function CAGD shape parameter interpolation |
