| 两条Bézier样条曲线G~n连续下的光滑连接 |
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| 引用本文： | 宋永志,;范传强,;陈娟娟.两条Bézier样条曲线G~n连续下的光滑连接[J].许昌师专学报,2008(5):34-36. |
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| 作者姓名： | 宋永志 ;范传强 ;陈娟娟 |
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| 作者单位： | [1]许昌学院数学科学学院,河南许昌461000; [2]辽宁石油化工大学理学院,辽宁抚顺113001 |
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| 摘 要： | 利用插值方法，研究用一条样条曲线把两条不相连的样条曲线光滑连接起来的问题，给出了连接两条n次参数样条曲线为一条新的n次参数样条曲线的充分条件，并进一步得到了两条一次、二次、三次Bezier样条曲线在几何连续性下实现自然光滑连接的条件．
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| 关 键 词： | C^n连续 G^n连续 Bezier样条曲线 控制顶点 |
On Smooth Connection Spline Curves in between Two Bezier G^n Continuity |
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| Institution: | SONG Yong-zhi, FAN Chuan-qiang, CHEN Juan-juan( 1. School of Mathematics and Science, Xuchang University, Xuchang 461000, China ; 2. School of Sciences, Liaoning Petrochemical University, Fushun 113001, China) |
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| Abstract: | For any two segregated spline curves, the problem of their smooth connection with a spline curve is studied by the method of interpolation points. The sufficient condition is given for connecting two univariate parametric splines with degree n into a new univariate parametric spline curves with degree n. and the conditions is obtained for smooth connection of two Bezier spline curves with respect to degree 1, degree 2 and 3 in geomet-ric continuity. |
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| Keywords: | C^n continuity Gn continuity Bezier spline curve control points |
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