中文摘要：

隐多项式曲线一直没有理想的生成算法,给出了一种针对二维n次隐多项式曲线的快速逐点生成算法,该算法思路简洁,在逐点生成过程中,只用到整数加减法,故速度快,效率高,具有广泛的应用价值.最后,运用算法给出了曲线生成实例和对算法效率的比较,比较结果表明本文提出的算法有效的提高了生成曲线的效率.

英文摘要：

There are few fast algorithms of generating implicit polynomial curve. A fast point-by-point algorithm for generating implicit polynomial curve is presented. The basic idea of this algorithm is simple. It is quite efficient because only integer additive and subtractive operations are involved during the process of generating the curve point by point. Thus it is widely used in generating implicit polynomial curve. At the end, some curves generated using the algorithm are presented and the efficiency comparation result is given. The result show that the efficiency of curve drawing is improved effectively.