摘要
本文利用截断函数讨论了四个方向网上二元样条的最小支集性。我们确定了样条空间中的最小支集元,并证明了它们构成紧支集样条空间的一组基。
In this paper we mainly discuss the minimality of support for bivariate splines on a so-called four-direction mesh. Let ∏_k,△ρ denote the space of bivariate pp functions in C~ρ, of degree k, on the mesh △ obtained from a uniform square mesh by drawing in all diagonals in each square. By making use of cone splines,we identify the minimal support elements in ∏_k,△ρ in case k≡2mod(4)and k≡1mod(4)with ρ=(3k- 2)/4, which provide a basis for all finitely supported functions in ∏_k,△ρ,
出处
《数学杂志》
CSCD
北大核心
1989年第1期67-80,共14页
Journal of Mathematics
