n次三角域Bézier曲面片GC~1拼接的对称条件Symmetric GC' Condition for Triangular Bezier Surface Patches of Degreen
周西军;叶正麟;
摘要(Abstract):
<正> 1.引言曲面造型是计算几何领域中一个重要的研究课题,在工程和制造中有着广泛的应用。Bezier曲面是当前曲面造型的重要方法之一,具有装配灵活,适应性强的优点。用矩形域和三角域Bezier曲面片混合造型,几乎可以构造任意形状的曲面。但Bezier曲面造型也
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基金项目(Foundation):
作者(Authors): 周西军;叶正麟;
参考文献(References):
- [1] Hosaka. M. and Kimura. F. 'synthesis methods of curves and surface in interactive CAD' in Valle, G (ed) interactive techniques in computer aided design IEEE, New York, NY, USA (1978) PP. 151--156
- [2] Farin, G. E. 'A construction for visual continuity of polynomial surface patches' Comput. Graph Image Process (1982) PP. 272--282.
- [3] Sarraga. R. F. 'G'interpolation of generally unstricted cubic Bezier curves' Comput. Aided Geometric Des Vol. 4 (1987) PP. 23--29
- [4] 刘鼎元.‘Bezier曲面片光滑连接的几何条件’应用数学学报 Vol.9(1986) No.4 PP.432--442
- [5] D Liu, J Hoscuek 'GC continuity conditions between adjacent rectangular and triangular Bezier surface patches' Comput. Aided Des Vol. 21 (1980) No. 4 PP. 194--200
- [6] Boehm, W 'Visual continuity' Comput. Aided Des Vol. 20 (1988) No. 6 PP. 307--311