| 关于散乱数据的五次C^1插值 |
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| 引用本文： | 姜寿山,杨海成.关于散乱数据的五次C^1插值[J].西安工业学院学报,1994,14(2):90-95. |
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| 作者姓名： | 姜寿山 杨海成 |
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| 作者单位： | 西安工业学院，西北工业大学 |
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| 基金项目： | 国家教委留学回国人员基金 |
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| 摘 要： | 给出了由二十一参数五次Ｃ１多项式插值曲面向三角Ｂ－Ｂ曲面直接转换的关系式．利用这种关系，综合两种插值曲面方法之优点，完成了２Ｄ三角网格上五次Ｃ１三角Ｂ－Ｂ插值曲面，避免了求解约束方程组，减少了计算量，提高了计算精度．为散乱数据的处理提供了简便实用的方法．
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| 关 键 词： | 三角剖分，样条函数，插值，数据处理 |
On quintic triangular interpolation to 2D scattered data |
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| Jiang Shoushan,Yang Haicheng,Hou Zengxuan.On quintic triangular interpolation to 2D scattered data[J].Journal of Xi'an Institute of Technology,1994,14(2):90-95. |
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| Authors: | Jiang Shoushan Yang Haicheng Hou Zengxuan |
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| Affiliation: | Jiang Shoushan;Yang Haicheng;Hou Zengxuan |
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| Abstract: | converting formula between 21-parameters C1 triangularr interpolating scheme andtriangular B-B interpolation is obtained With the help of the formula, a quintic C1triangular interpolation method for 2D scattered data is created Because the newinterpolation method combines the respective edvantages of both schemes, the amount ofthe computation is greatly decreased, but the computing precision is greatly increased forthe constraint linear equations are avoided Practicak examples have demonstrated that thenew interpolation method is an effective data processing method for 2D scattered is aneffective data Processing method for 2D scattered data. |
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| Keywords: | triangulation splines interpolation data processing |
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