摘要
本文讨论了一般割角参数下由割角法[1]所产生的折多边形簇的收敛性问题,并给出了极限曲线连续、一阶几何连续的一般条件。作为特例严格证明了[1]的结果。
In this paper, the convergence of the polygon sequences generated by the new cutting corner method is studied. The general corditions of C0 and GC1 continuities of the curve generated by this method are given.The main results areTheorem 1 If there exists Q>0, such thatthen the curve generated is GC1 continue. Theorem 2 If all parameters satisfyespecially; ifthen the curve generated is GC1 continue.
基金
国家自然科学基金
