带有边界条件的曲面插值蝴蝶细分算法

Interpolatory Convexity Preserving Subdivition Schemes for Curves and Surfaces

给出一种带有边界条件的曲面插值蝴蝶细分算法;边界条件可以是曲面的边界参数曲线或者曲面的边界参数曲线以及曲面在该边界曲线的法向量 进而分析了极限曲面的收敛性和光滑性

This paper is concerned with constructing butterfly subdivision scheme for surface satisfying boundary conditions.The interpolated boundary curves are arbitrary parametric curves or not only the boundary curves, but also the normal vector.The convergence and smooth analysis are presented.Numerical examples give evidence that these methods are effective.