东北数学(英文版)
東北數學(英文版)
동북수학(영문판)
NORTHEASTERN MATHEMATICAL JOURNAL
2008年
1期
35-44
,共10页
subdivision%dimension reduction%proper parameterization
In our previous work,we have given an algorithm for segmenting a simplex in the n-dimensional space into n+1 polyhedrons and provided map F which maps the n-dimensional unit cube to these polyhedrons.In this paper,we prove that the map F is a one to one correspondence at least in lower dimensional spaces(n≤3).Moreover,we propose the approximating subdivision and the interpolatory subdivision schemes and the estimation of computational complexity for triangular man's in computational complexity and speed.