| 光滑函数的XB保形插值逼近 |
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| 引用本文： | 王兴波,王文仲. 光滑函数的XB保形插值逼近[J]. 装备指挥技术学院学报, 1994, 0(1) |
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| 作者姓名： | 王兴波 王文仲 |
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| 作者单位： | 国防科技大学(王兴波)，指挥技术学院基础部(王文仲) |
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| 摘 要： | 本文利用ＸＢ—基函数构造了光滑函数的一种保形插值样条函数：ＸＢ－插值样条函数。用这种插值样条函数逼近连续函数，在连续阶、逼近阶、保形性等几方面都有较好的效果，而且本文的方法能推广到ＣＡＧＤ中。
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| 关 键 词： | XB-基函数 保形插值 逼近阶 |
Approximation of XB Shape-preserving Interpolation In the Smooth Function |
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| Wang Xingbo Wang Wenzhong. Approximation of XB Shape-preserving Interpolation In the Smooth Function[J]. Journal of the Academy of Equipment Command & Technology, 1994, 0(1) |
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| Authors: | Wang Xingbo Wang Wenzhong |
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| Affiliation: | Wang Xingbo Wang Wenzhong (University of Defence Technology) (Department of Basic Theories) |
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| Abstract: | By employing XB basis function, this paper constructs a shape-presserving inter- polating spline function to the smooth function: XB-interpolating spline function. The con- structed function has a better property in continuity, approximation order and shape-preser- vance, etc.. The method adopted in this paper can also be used in CAGD. |
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| Keywords: | XB basis shape-preserving interpolation approximation order |
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