摘要
对任意四边形，给出了在边界上插值已给定顶点的型值向量，一阶偏微商及各边中点法向微商的插值型的四边形曲面片Ｂｉ（ｕ，ｖ），曲面Ｂｉ（ｕ，ｖ）在边界上的Ｂéｚｉｅｒ控制点由顶点处的１２个条件唯一确定，内部的一些控制点可以由各边的法向微商确定，这样便可以求得Ｃ１插值于边ｅｉ（ｉ＝１，２，３，４）的曲面Ｂｉ（ｕ，ｖ）。引进混合函数，构造出混合曲面Ｐ（ｕ，ｖ），它分别在边ｅｉ（ｉ＝１，２，３，４）处Ｃ１插值于Ｂｉ（ｕ，ｖ）（ｉ＝１，２，３，４）。
For arbitrary quadrilateral, the values of positions, first order derivatives at the every vertices of quadrilateral patches and normal derivatives at midpoints are given. The Bzier control point of boundary are determined only by 12 conditions at the vertices. But some inner control points are determined by n i(i =1,2,3,4), they are different. Hence we can get C 1 interpolating patch B i(u,v) at edges e i . Supposing blending function, blending surface P(u,v) can be constructed, and it C 1 interpolates B i(u,v) at edges e i(i =1,2,3,4).
出处
《抚顺石油学院学报》
EI
CAS
1998年第4期71-73,共3页
Journal of Fushun Petroleum Institute
