摘要
首先讨论了二次分形插值函数,进而研究由二次分形插值函数导出的分形插值曲面,并估计了其变差。再由二元连续函数的中心变差与图像计盒维数之间的关系,来确定分形插值曲面的计盒维数。
A class of quadratic fractal interpolation function was discussed.Based on that,the fractal interpolation surface derived from the fractal interpolation function was studied to estimate the variation of the surface.By deducing the relation between the minkowski dimension of the graph of bivariate continuous function and its variation,the value of the minkowski dimension of the fractal interpolation surface was obtained.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2011年第3期68-71,112,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(51079064)
关键词
二次分形插值函数
中心变差
分形插值曲面
计盒维数
Quadratic fractal interpolation function
Central variation
Fractal interpolation surface
Minkowski dimension
