摘要
提出了一种与其他方法有本质区别的研究多元样条的方法，即引入参数技巧。该技术将单纯形剖分Δ的某些元素（如网点、网线等）看作该单纯形剖分的参数。通过选取可取参数Ｌ，即使得对任何Ｌ满足ｄｉｍＳ＾ｕｋ（Δ（Ｌ））＝ｄｉｍＳ×ｕｋ（Δ）（ｋ，μ≥０）的参数Ｌ，可将研究空间Ｓ＾ｕｋ（Δ）的结构问题转化为研究单纯形剖分族Δ（Ｌ）上的样条空间Ｓ＾ｕｋ（Δ（Ｌ））的结构问题。
A skill of study splines is presented which is different in essential from other approaches. This socalled parameter-introducing skill is to take some elements of a simplicial complex as a parameter, and it is so chosen such that when it varies on some domain the spline spaces on the varied simplicial complex will preserve their dimensions. A marked difference of this approach and other methods is that one could derive the dimension of spline spaces directly instead of having to deal with the bases. By this way, one can solve some problems which could not be obtained by other methods.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1994年第2期207-212,共6页
Journal of Dalian University of Technology
关键词
样条函数
协调方程
i-星域
splines
dimensions /(a,6)-compatible conditions
i-star
