一类多参数分形插值曲面及其计盒维数  

A Class of Multi-parameter Fractal Interpolation Surface and Its Box-counting Dimension

作　　者：宁先林[1,2] 魏毅强[1] 

机构地区：[1]太原理工大学数学系,太原030024 [2]长治学院师范分院,山西长治046000

出　　处：《太原科技大学学报》2011年第5期416-419,共4页Journal of Taiyuan University of Science and Technology

摘　　要：构造了一类多参数三角迭代函数系,证明了该迭代函数系吸引子的存在唯一性,进一步证明了该吸引子是给定插值点集的分形插值曲面最后通过变差给出了分形插值曲面的计盒维数。A class of multi-parameter triangle iterated function system was constructed,which improved the uniqueness of its attractor,then this attractor is further proved to be a fractal interpolation surface of given interpolation point sets.Finally,the box dimension of fractal interpolation surface through variation was obtained.

关 键 词：吸引子 迭代函数系 分形插值曲面 计盒维数 

分 类 号：O184[理学—数学]