| A New Fractional Rational Bézier Curve |
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| 引用本文： | 吴蓓蓓,顾传青.A New Fractional Rational Bézier Curve[J].上海大学学报(英文版),2005(3). |
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| 作者姓名： | 吴蓓蓓 顾传青 |
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| 作者单位： | Department of Mathematics，College of Sciences，Shanghai University，Shanghai 200444，P. R. China，Department of Mathematics，College of Sciences，Shanghai University，Shanghai 200444，P. R. China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina(GrantNo.10271074) |
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| 摘 要： | 1Introduction ArationalB啨ziercurveistypicallydefinedby Q(t)=∑kωkPkBnk(t)∑kωkBnk(t),0≤t≤1,(1)where{Pk}isacollectionofcontrolpointsinRmand{ωk}isasetofscalarweights.RonGoldman2]definedarationalB啨ziercurveintermsoftherational Bernsteinbasisfunctions,thatis,bysetting R(t)=∑kPkB-nk(t),-∞
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| 关 键 词： | fractional Bernstein bases fractional rational Bézier curves Poisson curves. |
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