关键词: 有理函数, 数学变换, 参数化法

Abstract: A regular parametric transformation does not change the shape of a parametric curve,but the mapping of the points in the domain of definition of the curve onto the points on the curve is changed and therefore the curve parametrization is changed.With the shape invariable factor unchanged, if the weights for a rational quadratic Bezier curve are changed,which is called a weight transformation,the same effect can be obtained as that of a regular parametric transformation.The relationship between the parameter of a point on a rational quadratic Bezier curve and its weights is given,and the parametric transformation formula is derived which has the same influence on parametrization as the weight transformation.

Key words: rational functions, transformation, parametrization