分形插值曲面函数在其定义区间上是连续的。作为一种特殊的连续函数,本文研究了分形插值曲面函数在不同尺度下的积分。得到分形插值曲面函数在不同尺度下的积分值的大小是由其相应迭代函数系(IFS)系数决定的。
Fractal interpolation surface function generated by IFS is continuous on its interval of definition.As a special kind of continuous function, the integration of fractal interpolation surface function on various scales was studied in this paper. The integral value of fractal interpolation surface function is determined by the parameters of the corresponding iterated function systems.