APPROXIMATE COMMON DIVISORS OF POLYNOMIALS AND DEGREE REDUCTION FOR RATIONAL CURVES  

作　　者：SUN JIANZHONG,CHEN FALAI AND QU YONGMING 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》1998年第4期437-444,共8页高校应用数学学报（英文版）（B辑）

摘　　要：Abstract This paper deals with how to perturb a given set of polynomials so as to include a common linear factor. An algorithm is derived for determining such a set of perturbation polynomials which are subject to certain constrains at the endpoints of a prescribed parametric interval and minimized in a certain sense. This result can be combined with subdivision technique to obtain a continuous piecewise approximation to a rational curve.Abstract This paper deals with how to perturb a given set of polynomials so as to include a common linear factor. An algorithm is derived for determining such a set of perturbation polynomials which are subject to certain constrains at the endpoints of a prescribed parametric interval and minimized in a certain sense. This result can be combined with subdivision technique to obtain a continuous piecewise approximation to a rational curve.

关 键 词：Rational curve degree reduction SUBDIVISION approximate common divisor 

分 类 号：O242.2[理学—计算数学]