摘要
在已知散乱点集三角剖分的基础上,引进了多边形元,并找到了在多边形元上一种插值适定的充要条件,从而和原来的三角形元、四边形元混合起来,构成了一种新的三次插值样条空间,并利用B-网的方法,给出了曲面的一种数值表示和误差估计.
In this paper, on the basis of triangulation for a given scattered data, polygonal element is introduced, and its sufficient and necessary condition of interpolation well-posed problem has been found. Thus, mixing with the original triangular and quadrilateral elements, a new kind of degree 3 interpolation spline space S 1 3(△) is constructed. At the same time, using the method of B-net, a kind of numerical representation of surface and error estimation in S 1 3(△) is worked out.
出处
《北方交通大学学报》
CSCD
北大核心
1997年第2期230-235,共6页
Journal of Northern Jiaotong University