隐式曲面的保凸条件

给出了隐式代数曲面的保凸条件，此条件是由曲面的Bernstain-Bezier表达式的Bezier系数的关系式给出。特别对三次隐式代数曲线给出经简化、易于应用的保凸条件形式，数值例说明这些保凸条件在隐式曲面光滑逼近中能有效地控制曲面。

Convexity Preserving Condition of Implicit Surfaces

This paper is concerned with the convexity conditions of implicit algebraic surfaces whose formulas are represented through the relations of the coefficients of the Bernstein-Bezier-representation. For cubic implicit algebraic surfaces, we give a simple and easily used convexity conditions. Numerical examples give evidence that these conditions can effectively control form of surface in smooth approximation for implicit algebraic surfaces.