球面上G^1插值曲线  

G^1 Continuous Interpolation Curve on Sphere

作　　者：周正华[1] 赵建伟[1] 罗卫民[2] 

机构地区：[1]中国计量学院理学院,浙江杭州310018 [2]西安邮电学院应用数理系,陕西西安710061

出　　处：《工程图学学报》2006年第5期72-74,共3页Journal of Engineering Graphics

基　　金：陕西省自然科学基金资助项目(2004A12);陕西省教育厅自然科学计划资助项目(05JK289)

摘　　要：用球面径向投影的方法解决了由球面上给定的点及该点处切平面上的单位矢量,来构造球面上的一条光滑插值曲线问题。首先,由球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,然后再将此曲线沿球面的径向方向投影到球面上,就得到所求的限制在球面上满足插值条件G1连续的插值曲线。Technique of the radial direction projection is presented for construction of smooth interpolation curve on the sphere, which depends on a sample of points and unit vectors on the tangent plane of the corresponding points on the sphere. First, constructing a space cubic Bézier spline curve to interpolate the given points on the sphere, then the curve is projected onto the sphere along the radial direction of the sphere, The projected curve keeps G^1 continuity and interpolates the given points and unit tangent vector on the sphere.

关 键 词：计算机应用 曲线插值 球面 径向投影 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]