| 可调控C2连续三次三角多项式样条曲线 |
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| 引用本文： | 陈晓彦,刘植,汪春华. 可调控C2连续三次三角多项式样条曲线[J]. 合肥工业大学学报(自然科学版), 2009, 32(2) |
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| 作者姓名： | 陈晓彦 刘植 汪春华 |
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| 作者单位： | 合肥工业大学,数学系,安徽,合肥,230009;合肥工业大学,数学系,安徽,合肥,230009;合肥工业大学,数学系,安徽,合肥,230009 |
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| 基金项目： | 合肥工业大学科学研究发展基金 |
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| 摘 要： | 文章提出一类C2连续带有形状参数的三次三角多项式样条曲线.该曲线对给定的多边形具有保形性,通过改变形状参数的取值,可以局部或整体调整曲线逼近其控制多边形的程度.所得结论具有明确的几何意义,有效增强了控制及表达曲线形状的能力.最后用实例表明了该方法的有效性.
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| 关 键 词： | 三次三角多项式样条曲线 形状参数 C2连续 |
A class of modifiable C~2 continuous cubic trigonometric polynomial curve |
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| CHEN Xiao-yan,LIU Zhi,WANG Chun-hua. A class of modifiable C~2 continuous cubic trigonometric polynomial curve[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(2) |
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| Authors: | CHEN Xiao-yan LIU Zhi WANG Chun-hua |
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| Affiliation: | Dept.of Mathematics;Hefei University of Technology;Hefei 230009;China |
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| Abstract: | This paper presents a class of C2 continuous cubic trigonometric polynomial spline curves with some shape parameters.The segmented curves are all shape-preserving to given polygons.By changing the value of the shape parameter,the approaching degree of the curves to their control polygon can be adjusted locally or wholly.The results have definite geometric meanings that are useful for shape modification and representation of curves.Finally,a few numerical examples illustrate that the method given in this pap... |
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| Keywords: | cubic trigonometric polynomial spline curve shape parameter C2 continuity |
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