圆柱面上G^1插值曲线  

G^1 CONTINUOUS INTERPOLATION CURVE ON CYLINDRICAL SURFACE

作　　者：周正华[1] 

机构地区：[1]中国计量学院理学院,浙江杭州310018

出　　处：《计算机应用与软件》2010年第12期191-192,共2页Computer Applications and Software

摘　　要：用向量吸收投影的方法解决了由圆柱面上给定的点及该点处切平面上的单位矢量,来构造圆柱面上的一条光滑插值曲线问题。首先,由圆柱面上给定的点及该点处切平面上的单位矢量构造一条插值给定点及给定单位向量的空间3次Bézier样条插值曲线,然后再将空间3次Bézier曲线吸收投影到圆柱面上,就得到所求的限制在圆柱面上满足插值条件G1连续的插值曲线。The method of absorbing the projection by vector is used to have resolved the problem of constructing a smooth interpolation curve on cylindrical surface with the given point on cylindrical surface and the unit vector on tangent plane of the corresponding point. First,a space cubic Bézier spline interpolation curve of given interpolation point and given unit vector is constructed with the given point on cylindrical surface and the unit vector on tangent plane of the point,then the cubic Bézier curve is absorbed and projected onto the cylindrical surface, thus the interpolation curve to be resolved is obtained,which is restrained on cylindrical surface and satisfies the interpolation condition of G1 continuity.

关 键 词：计算机应用 曲线插值 圆柱面 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]