| 三参数binary细分法 |
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| 引用本文： | 段建伟,彭国华,胡玫瑰.三参数binary细分法[J].计算机应用,2009,29(9). |
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| 作者姓名： | 段建伟 彭国华 胡玫瑰 |
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| 作者单位： | 西北工业大学,理学院,西安,710072 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 通过在曲线细分过程中引入三个参数,给出一种新的细分曲线构造的算法,并利用生成多项式等方法对细分法的一致收敛性、Ck连续性进行了分析.在给定初始控制数据的条件下,可以通过对形状参数的适当选择来实现对细分极限曲线形状的调控.该方法可以生成C4连续的细分曲线,增加了曲线造型的灵活性.数值试验表明这种算法是有效的.
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| 关 键 词： | 细分法 极限曲线 一致收敛性 Ck连续性 |
Binary subdivision scheme with three parameters |
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| DUAN Jian-wei,PENG Guo-hua,HU Mei-gui.Binary subdivision scheme with three parameters[J].journal of Computer Applications,2009,29(9). |
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| Authors: | DUAN Jian-wei PENG Guo-hua HU Mei-gui |
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| Affiliation: | College of Science;Northwestern Polytechnical University;Xi'an Shaanxi 710072;China |
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| Abstract: | A new scheme was presented to design subdivision curves by introducing three control parameters in the subdivision process.The sufficient conditions of the uniform convergence and C k continuity of this subdivision scheme were analyzed.Given the condition of the initial data,the curve shape can be adjusted and controlled through selecting appropriate parameters.The scheme could produce subdivision curve of C 4 continuity of limit curve,and the curve modeling was flexible.Some examples of the curve design we... |
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| Keywords: | subdivision scheme limit curve uniform convergence C k continuity |
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