| 带形状参数的有理曲面构造 |
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| 引用本文： | 彭兴璇,孙倩.带形状参数的有理曲面构造[J].辽宁师范大学学报(自然科学版),2014(1):17-23. |
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| 作者姓名： | 彭兴璇 孙倩 |
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| 作者单位： | 辽宁师范大学数学学院; |
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| 摘 要： | 带形状参数的有理样条曲线在插值条件确定的情况下可以灵活地约束曲线的形状.基于有理三次曲线,构造了带形状参数的有理混合函数,进而构造了一种带形状参数的有理曲面片.所构造的有理曲面片不仅具有双三次Coons曲面片的良好性质,而且带有自由参数,在边界条件固定的情况下,可通过调控自由参数实现曲面片内部形状的控制.
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| 关 键 词： | 有理曲面 形状控制 形状参数 |
Rational surface with shape parameters |
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| PENG Xingxuan,SUN Qian.Rational surface with shape parameters[J].Journal of Liaoning Normal University(Natural Science Edition),2014(1):17-23. |
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| Authors: | PENG Xingxuan SUN Qian |
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| Institution: | (School of Mathematics,Liaoning Normal University,Dalian 116029 ,China) |
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| Abstract: | Rational spline curve with shape parameters can be controlled flexibly ,as the interpolation conditions are determined .Based on the rational cubic curve ,a rational blending function is construc-ted .Then the rational surface with shape parameters is defined .The surface not only inherits the most good properties of bicubic Coons surface ,but also can adjust shape by changing the values of pa-rameters with fixed boundary conditions . |
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| Keywords: | rational surface shape control shape parameters |
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