隐式代数曲线的有理参数化(II)

Parametrizasion for Curves(II)

曲线和曲面的隐式表示和参数表示各有其优点,为了能够利用两种表示方法的优点,必须能够有效的进行曲线曲面的两种表达形式的相互转换.文章研究了隐式代数曲线的有理参数化问题.给出平面三次曲线有理参数化的有关理论,算法和实现.

Implicit and parametric forms for curves and surfaces have their advantages and must be efficiently transformed from one to another in order to make best use of their advantages. This paper is concerned with the rational parametrizasion for degree-three curves . The theory and algorithm for rational parametrizasion of algebra plane cruves and implemet those algorithm are given.