二元箱样条曲面的凸性和单调性条件

The Montonicity and Convexity of the Bivoriate Box Spline Surfaces

当方向集为三方向剖分网和四方向剖分网时 ,研究二元箱样条曲面控制点与对应箱样条曲面保形间的关系 ,给出了二元三方向和四方向箱样条曲面在任意方向上单调的充分条件以及凸的Hessian矩阵判别条件。

The objective of this paper is to study the relationship between properties of the control points of the bivariate box spline surfaces and the monotonicity and convexity of the bivariate box spline surfaces. We give the sufficient conditions of the monotonicity and convexity of the bivariate box spling surfaces on the three and four-directiond meshes .