| Box－样条曲面的正性条件 |
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| 引用本文： | 赵红星.Box－样条曲面的正性条件[J].纯粹数学与应用数学,1996(2). |
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| 作者姓名： | 赵红星 |
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| 作者单位： | 榆林师专 |
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| 摘 要： | 研究了Ｂｏｘ－样条曲面的控制点与Ｂｏｘ－样条曲面的正性之间的关系．给出了Ｂｏｘ－样条曲面正性的必要条件、充分条件．由此我们得到了Ｂｏｘ－样条曲面的单调性条件，推广了Ｗ．ＤＡＨＭＥＮ和Ｃ．Ａ．ＭＩＣＣＨＥＬＬＩ在文［２］中给出的Ｂｏｘ－样条曲面的单调性结论
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| 关 键 词： | Box－样条 正性 单调性 |
THE POSITIVITY OF THE BOX SPLINE SURFACES |
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| Zhao Hongxing.THE POSITIVITY OF THE BOX SPLINE SURFACES[J].Pure and Applied Mathematics,1996(2). |
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| Authors: | Zhao Hongxing |
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| Abstract: | The topic of this paper is to study the relatlonship between properties of the control points of the Box spline surfaces and the positivity monotonicity of the Box spline surfaces Necessary conditions and sufficient conditions for the positivity and monotonicity of the Box spline surfaces are presented |
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| Keywords: | Box spline positivity Monotomicity |
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