单纯形上曲面的表示和转换

Representation and Conversion of the Surfaces on Simplex

通过研究单纯形上的Ｂ形式曲面，给出了三角域上Ｂｅｚｉｅｒ．曲面和矩形域上张量积Ｂｅｚｉｅｒ曲面在三维单纯形上的Ｂ形式表示，由此得到了三角域上Ｂｅｚｉｅｒ曲面和矩形域上张量积Ｂｅｚｉｅｒ曲面之间的互化公式。

In this paper through studying B form surface on simplex, we give the representation of B form of Bezier triangles and tensor product Bezier rectangles on 3 dimension simplex. Thereby we get the conversion formulas between Bezier triangles and Bezier rectangles. Finally these results are generalized to high dimension simplex.