| 可整体或局部调控的C^3，C^4连续的插值曲线 |
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| 引用本文： | 熊建,郭清伟,朱功勤. 可整体或局部调控的C^3，C^4连续的插值曲线[J]. 数值计算与计算机应用, 2011, 32(3): 165-173 |
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| 作者姓名： | 熊建 郭清伟 朱功勤 |
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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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| 摘 要： | 首先运用两种方法构造了带多形状参数的C^3连续的插值曲线．其次，利用方法二把构造出的带多形状参数的C^4连续的B样条曲线与参数化的奇异多边形按某个因子调配，可自动生成C^4连续的插值曲线．所有这些曲线的形状既能整体又可局部调控．
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| 关 键 词： | 形状参数 整体或局部调控 C^3连续 C^4连续 |
MAY BE WHOLE OR PARTIAL CONTROL OF THE C3- AND C4-CONTINUOUS INTERPOLATION CURVES |
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| Xiong Jian,Guo Qingwei,Zhu Gongqin. MAY BE WHOLE OR PARTIAL CONTROL OF THE C3- AND C4-CONTINUOUS INTERPOLATION CURVES[J]. Journal on Numerical Methods and Computer Applications, 2011, 32(3): 165-173 |
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| Authors: | Xiong Jian Guo Qingwei Zhu Gongqin |
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| Affiliation: | Xiong Jian (Anhui Audit Vocational & Technical College,Hefei 230601,China) Guo Qingwei Zhu Gongqin (School of Science,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | Firstly,two families of C~3-continuous interpolation curves are constructed.Secondly, using a blending factor,a parametrized singular polyline is blended with the constructed C~4- continuous B-spline curve with shape parameters to automatically generate C~4-continuous interpolation curves by the second means.Shape of those interpolation curves can be controlled totally as well locally. |
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| Keywords: | shape parameters totally or locally control C~3 continuous C~4 continuous |
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