| 代数三角混合Bézier型插值曲线 |
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| 引用本文： | 苏本跃,盛敏.代数三角混合Bézier型插值曲线[J].工程图学学报,2010,31(6):39-44. |
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| 作者姓名： | 苏本跃 盛敏 |
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| 作者单位： | 1. 安庆师范学院计算机与信息学院,安徽,安庆,246011
2. 安庆师范学院计算机与信息学院,安徽,安庆,246011;合肥工业大学计算机与信息学院,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金资助项目(60773128); 安徽省教育厅自然科学研究资助项目(KJ2009A123); 安徽省高等学校优秀青年人才基金资助项目(2009SQRZ156) |
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| 摘 要： | 通过一类代数三角混合Bézier型基函数的定义,构造了一类C2连续的代数三角混合Bézier型插值曲线。该曲线继承了Bézier曲线的一些优良特性,并能充分克服Bézier型基函数不能精确表示二次曲线曲面以及某些超越曲线曲面的弱点。另外,利用形状控制参数可以灵活调节曲线形状,进一步增强了曲线曲面的表现能力。最后实例表明了新的插值曲线应用于几何造型的有效性。
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| 关 键 词： | 代数三角混合多项式 Bézier型曲线 曲线插值 形状参数 |
Algebraic Trigonometric Blending Bézier-type Interpolation Curves |
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| SU Ben-yue,SHENG Min.Algebraic Trigonometric Blending Bézier-type Interpolation Curves[J].Journal of Engineering Graphics,2010,31(6):39-44. |
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| Authors: | SU Ben-yue SHENG Min |
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| Affiliation: | SU Ben-yue1,SHENG Min1,2(1.School of Computer and Information,Anqing Teachers College,Anqing Anhui 246011,China,2.School of Computer and Information,Hefei University of Technology,Hefei Anhui 230009,China) |
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| Abstract: | A class of C2 continuous algebraic trigonometric blending Bézier-type interpolation curves is constructed based on the definition of free form algebraic trigonometric blending Bézier-type curves.The introduced curves inherit some characteristics which the Bézier interpolation curves have.Meanwhile,the new curves can accurately represent some conic and transcendental curves,which are more powerful than the Bézier interpolation curves.Moreover,the shapes of curves can be adjusted freely by an introduced control parameter in the base functions.At last,the illustrations show that the new interpolating curves are effective in practice on geometric modeling. |
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| Keywords: | algebraic trigonometric blending polynomial Bézier-type curve curve interpolation shape parameter |
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