数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (2): 203-214.
连建熬, 程正兴
Lian Jian'ao, Cheng Zhengxing
摘要:
Determining the lowest degree, dimensions and basis functions of btp (bivariate truncated power(s)) spaces with given smoothness requirements and establishing the calculation formulae of btp on a three-and four-direction mesh, we give the necessary and sufficient condition for the existence of the bivariate BM-spline in S42,△2 and the bivariate BM-spline in S21, △2, in terms of linear combinations of btp. The so-called "revolving around" technique is mentioned.