双三次贝齐尔曲面快速逼近方法

A Fast Approximation Method of Two Bicubic Bezier Surfaces

从普通贝齐尔曲线推导出了导矢系数为４的另一种变形贝齐尔曲线，由它形成的双三次贝齐尔曲面逼近多面体的速度是普通双三次贝齐尔曲面的１．７８倍。并且提出了保证两张曲面片连接光顺性的条件。为减少拟合时间、较快地生成自由曲面提供了一种策略，对建造有效的几何造型系统具有一定的参考价值。

An altering Bezier (F-Bezier) curve with coefficient of derivatives of vector being 4 has been proposed from general Bezier curves. The rate approximating control polygons of the two bicubic F-Bezier is 1.78 times faster than those of the general Bezicr curves.Conditions ensuring the smoothness of two surfaces is presented. The method, which enable to decrease fitting time and form free surface more rapiderly will be of some value in building an efficient geometric modelling system.