摘要
相邻的多片 Bezier曲面拼接时 ,在边界处容易引起连续性问题。作者提出了一种方法 ,通过构造逼近曲面片 ,在相邻的四片曲面片边界及交点处达到 C1连续。该方法的关键点在于确定交点周围曲面片上相互关联的四个 Bezier控制点 ,使得曲面片在交点处达到 C1连续 。
Handing and modelling multipatch tensorproduct Bezier surfaces often causes continuity problems. A method is described on how to approximate a given surface in such a way that C 1 continuity at a crossing point of four surface patches can be obtained. The idea is to choose the four Bezier control points associated with the mixed derivatives at a crossing point of four surfaces to cause C 1 continuity at the crossing point. The four Bezier points can be obtained by approximating the given surfaces, minimizing the sum of the four distance squares. Moreover, the error function and the error estimation method of the approximated surface is presented.
