| 广义Said-Ball曲线 |
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| 引用本文： | 熊建,郭清伟. 广义Said-Ball曲线[J]. 数值计算与计算机应用, 2012, 33(1): 32-40 |
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| 作者姓名： | 熊建 郭清伟 |
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| 作者单位： | 1. 安徽审计职业学院基础部,合肥,230601
2. 合肥工业大学数学系,合肥,230009 |
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| 基金项目： | 安徽省教育厅重点项目（2011AJZR0071）;安徽省自然科学基金项目（11040606M06）. |
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| 摘 要： | 给出了n次带形状参数λ的Said-Ball曲线,它具有n次Said-Ball曲线的类似性质.形状参数λ具有明显的几何意义:λ越大,曲线越逼近控制多边形;当λ=2时,曲线退化为Said-Ball曲线.给出了曲线的递归求值算法及两段曲线G~1,C~1连续拼接的条件.
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| 关 键 词： | λ-SaidBall曲线 形状参数 拼接条件 递归求值 |
GENERALIZED SAID-BALL CURVES |
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| Xiong Jian , Guo Qingwei. GENERALIZED SAID-BALL CURVES[J]. Journal on Numerical Methods and Computer Applications, 2012, 33(1): 32-40 |
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| Authors: | Xiong Jian Guo Qingwei |
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| Affiliation: | Xiong Jian ( Anhui Audit Vocational ＆ Technical College, Hefei 230601, China) Guo Qingwei (School of Science, Hefei University of Technology, Hefei 230009, China) |
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| Abstract: | The n-degree Said-Ball curves with shape parameter A are presented.They have the similar properties with the n-degree Said-Ball curves.The shape parameter A has a clear geometric meaning. The constructed curves can approxim ate the control polygon well with the elevation of the A value. When A is equal to 2,the curve degenerates to the Said-Ball curve.The algorithms for recursive evaluation,G1 and C1 link conditions are given. |
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| Keywords: | A-SaidBall curves shape parameter link conditions Recursive algorithm |
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