| 广义Bézier曲线与曲面在连接中的应用 |
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| 引用本文： | 刘根洪,刘松涛.广义Bézier曲线与曲面在连接中的应用[J].应用数学学报,1996(1). |
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| 作者姓名： | 刘根洪 刘松涛 |
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| 作者单位： | 苏州大学数学系，复旦大学数学所 |
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| 摘 要： | 通常的贝齐尔（Ｂｅｚｉｅｒ）曲线、曲面，在其端点或边界只具有ＧＣ１阶插值性．本文在保持通常贝齐尔曲线、曲面性质的基础上，定义了一种广义的贝齐尔曲线、曲面，使其在曲线段的端点和曲面片的边界具有高阶光滑插值性，它可方便地光滑连接两条参数型的曲线段和两张以上参数型曲面片，并且连接方式是ＧＣｒ（ｒ≥１）的．所以广义贝齐尔曲线、曲面在计算机辅助设计应用中更具有独特的意义．
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| 关 键 词： | 广义贝齐尔曲线、曲面，广义Bezier控制点，过渡曲线和过渡曲面，高阶光滑插值 |
APPLICATION OF GENERALIZED BEZIER CURVE AND SURFACE IN SMOOTH JOINING |
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| LIU GENHONG.APPLICATION OF GENERALIZED BEZIER CURVE AND SURFACE IN SMOOTH JOINING[J].Acta Mathematicae Applicatae Sinica,1996(1). |
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| Authors: | LIU GENHONG |
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| Abstract: | On the basis of Bezier curve/surface1], this paper defines the generalized Beziercure/surface. With their property of high order smooth interpolation at the curve segment's ends and surface patch's boundary, we can construct the GCr transitional curvesegment/surface patch between two parametric curve segment/surface patches more freely. |
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| Keywords: | Generalized B6zier curve/surface generalized control points/surfaces transition curve/surface high order smooth interpolation |
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