太原科技大学学报
太原科技大學學報
태원과기대학학보
JOURNAL OF TAIYUAN UNIVERSITY OF SCIENCE AND TECHNOLOGY
2011年
5期
416-419
,共4页
吸引子%迭代函数系%分形插值曲面%计盒维数
吸引子%迭代函數繫%分形插值麯麵%計盒維數
흡인자%질대함수계%분형삽치곡면%계합유수
attractor%iterated function system%fractal interpolation surface%box dimension
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。
構造瞭一類多參數三角迭代函數繫,證明瞭該迭代函數繫吸引子的存在唯一性,進一步證明瞭該吸引子是給定插值點集的分形插值麯麵最後通過變差給齣瞭分形插值麯麵的計盒維數。
구조료일류다삼수삼각질대함수계,증명료해질대함수계흡인자적존재유일성,진일보증명료해흡인자시급정삽치점집적분형삽치곡면최후통과변차급출료분형삽치곡면적계합유수。
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.
