| 与给定多边形相切的一类含参数三角样条曲线 |
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| 引用本文： | 孙倩.与给定多边形相切的一类含参数三角样条曲线[J].大学数学,2009,25(1). |
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| 作者姓名： | 孙倩 |
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| 作者单位： | 安徽大学 数学科学学院,安徽 合肥,230039 |
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| 摘 要： | 基于一类与给定多边形相切的三角样条曲线,通过在基函数中引入形状参数λ,在保持原曲线的光滑性及其他基本性质不变的条件下,构造出一类能自由调控曲线形态的含参数三角样条曲线,并结合图例讨论了其相关性质.
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| 关 键 词： | G连续 三角样条 切线多边形 形状参数 |
A Class of Trigonometric Spline Curve with Shape Parameter and Given Tangent Polygon |
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| SUN Qian.A Class of Trigonometric Spline Curve with Shape Parameter and Given Tangent Polygon[J].College Mathematics,2009,25(1). |
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| Authors: | SUN Qian |
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| Institution: | School of Mathematics and Sciences;Anhui University;Hefei 230039;China |
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| Abstract: | By introducing shape parameter λ to the trigonometric function bases,this paper constracts a kind of trigonometric spline curve with shape parameter and given tangent polygon by a class of trigonometric spline curve,the curve that joined by piecewise as G3-continuity and shape-preserving to the tangent polygon.At last,its characters are discussed combining the graphics examples. |
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| Keywords: | G3-continuity trigonometric spline tangent polygon shape parameter |
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