关于隐式代数曲面的一种几何连续性定义

A Definition of Geometric Continuity for Implicit Algebraic Surfaces

本文利用函数的幂级数给出了隐式代数曲面的一种几何连续性定义．证明了在此定义下的ｋ阶几何连续即为ｋ阶变尺度（ｒｅｓｃａｌｉｎｇ）连续，并举例说明了其应用的方便性．

A definition of geometric continuity for implicit algebraic surfaces is given by means of implicit function theory and Taylor series in this paper. It is shown that order k rescaling continuity is equivalent to order k geometric continuity in this definition, and an example is given at end.