关键词: 隐式多项式，曲线拟合，曲线，曲面

Abstract: It has many advantages for implicit polynomial curves to describe data set boundary, more obviously in fitting data point. hhis paper surveyed the current studies on information modeling based on implicit polynomial curves, focused on the comparison of the various implicit polynomials curves fitting algorithm, then, taking an example of image objects boundary, analyzed the effect of curves fitting algorithm, advantages and disadvantages of them, method improving and study trends.

Key words: Implicit polynomial, Curve fitting, Curve, Surface