一类多参数分形插值曲面及其计盒维数

摘要

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.%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。