| 带给定切线多边形的可调广义Ball闭曲线 |
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| 引用本文： | 汪春华,陈晓彦.带给定切线多边形的可调广义Ball闭曲线[J].咸阳师范学院学报,2011,26(2). |
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| 作者姓名： | 汪春华 陈晓彦 |
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| 作者单位： | 1. 安徽中医学院数理教研室,安徽合肥,230038
2. 合肥工业大学数学学院,安徽合肥,230009 |
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| 基金项目： | 安徽省高校优秀青年人才基金项目，合肥工业大学基金项目 |
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| 摘 要： | 构造了与给定多边形相切的分段三次、五次和六次可调广义Ball曲线,所构造的曲线分别是C1,C2和C3连续,而且对切线多边形是保形的.曲线的所有控制点由切线多边形的顶点直接计算产生.给出了在保持公共连接点处相应连续的条件下内控制点的活动范围.曲线可以在一定范围内做局部修改.计算实例表明文中方法是灵活、方便、有效的.
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| 关 键 词： | 广义Ball曲线 切线多边形 保形 |
Closed Adjustable Generalized Ball Curves with Given Tangent Polygon |
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| WANG Chun-hua,CHEN Xiao-yan.Closed Adjustable Generalized Ball Curves with Given Tangent Polygon[J].Journal of Xianyang Normal University,2011,26(2). |
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| Authors: | WANG Chun-hua CHEN Xiao-yan |
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| Institution: | WANG Chun-hua1,CHEN Xiao-yan2 (1.Department of Mathematics and Physics,Anhui Traditional Chinese Medical College,Hefei 230038,Anhui,China,2.School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | This paper proposes an approach of constructing planar piecewise closed generalized Ball curve of degree 3,5 and 6 with all edges tangent to a given polygon and the curve segments can be joined together with C1,C2 and C3 continuity respectively.The control points of the generalized Ball curve segments are computed simply by the vertices of the given tangent polygon.The admissible scope of the inner control points is given.Local modifications for these curves are possible.Finally,a few numerical examples ill... |
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| Keywords: | generalized Ball curve tangent polygon shape-preserving |
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