给定两端点及端点处切方向和曲率的空间Bezier曲线的插值问题  

SPACE CURVE INTERPOLATION OF GIVEN END POINTS TANGENT DIRECTIONS AND CURVATURES

作　　者：徐良宏[1] 孟勇[1] 陈铁[1] 

机构地区：[1]上海复旦大学数学研究所

出　　处：《数值计算与计算机应用》2001年第2期81-86,共6页Journal on Numerical Methods and Computer Applications

摘　　要：We construct a space cubic Bener curve for given two end points, tangent directions and curvatures. The result is such curves exist but not unique. The effect which computational error has on the Bener curves is considered and we point out that the interpolant is 4-th order accurate. We also consider how to select a better curve in some sense from the obtained Bener curves.We construct a space cubic Bener curve for given two end points, tangent directions and curvatures. The result is such curves exist but not unique. The effect which computational error has on the Bener curves is considered and we point out that the interpolant is 4-th order accurate. We also consider how to select a better curve in some sense from the obtained Bener curves.

关 键 词：空间三次Bezier曲线 曲率 曲线插值问题 4阶逼近 精度 非线性方程 曲线优化 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]