一类带参数的有理三次三角Hermite插值样条
A CLASS OF RATIONAL CUBIC TRIGONOMETRIC HERMITE INTERPOLATING SPLINES WITH PARAMETERS
查看参考文献9篇
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文摘
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给出一种带有参数的有理三次三角Hermite插值样条, 具有标准三次Hermite插值样条相似的性质.利用参数的不同取值不但可以调控插值曲线的形状, 而且比标准三次Hermite插值样条更好地逼近被插曲线.此外, 选择合适的控制点, 该种插值样条可以精确表示星形线和四叶玫瑰线等超越曲线 |
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其他语种文摘
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A class of rational cubic trigonometric Hermite interpolating splines with parameters is presented in this paper, which shares the same properties of standard cubic Hermite interpolating splines. The shape of the interpolation curves not only can be adjusted, but also more approximates the interpolated curves than standard cubic Hermite interpolating splines with taking different values of parameters. Moreover, by selecting proper control points, the spline curves can represent transcendantal curves exactly, such as tetracuspid and quadrifolium |
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来源
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计算数学
,2011,33(2):125-132 【核心库】
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关键词
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Hermite插值样条
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有理三次三角Hermite插值样条
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逼近
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超越曲线
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MR(2000)主题分类: 65D05
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65D17
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地址
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1.
合肥学院数学与物理系, 合肥, 230601
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合肥工业大学计算机与信息学院, 合肥, 230009
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蚌埠学院数学与物理系, 安徽, 蚌埠, 233000
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0254-7791 |
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学科
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数学 |
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基金
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国家自然科学基金资助项目
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教育部科学技术研究重大项目
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国家教育部高等学校博士学科点专项科研基金
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安徽省教育厅教学研究重点项目
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合肥学院科研重点项目
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文献收藏号
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CSCD:4181591
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参考文献 共
9
共1页
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