| 摘要: |
| 对经典的四点细分格式进行推广，提出了可通过对形状参数的适当选择来实现对极限曲线形状调整和控制的三参数四点细分曲线造型方法，并对其收敛性进行了分析，同时给出了曲线C0到C3连续的克分条件，并加以证明． |
| 关键词: 四点细分 三参数四点细分 |
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| 基金项目:Supported by the Carve out Foundation for Graduate Student of Northwestern Polytechnical University of China under Grant No.Z20030052(西北工业大学研究生创业基金) |
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| Study a New Subdivision Scheme for Curve |
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ZHAO Hong-Qing,PENG Guo-Hua,YE Zheng-Lin,ZHENG Hong-Chan,REN Shui-Li,KE Xiao-Ling
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| Abstract: |
| This paper extends the classical 4-point interpolating subdivision scheme，and brings forward a new 4-point subdivision scheme with threc parameters for curve design，which cad be confrolled by choosing these three parameters appropriately．The sufficient conditions of the uniform convergence proporty and eonfinuity properties ofthe subdivision scheme are proved. |
| Key words: 4-point subdivision 4-point subdivision with three parameters |
