On basis of fractal theory and the principle of fractional brownian motion , this paper puts emphasis on the following parts : firstly , the determination of fractal non - scale range on calculate fractional dimension is discussed , which adopts method associated artificial cognition with track decision . secondly , primeval data are segmented into blocks to evaluate their sub - fractional dimensions . in this process , the maximal value of sub - fractional dimensions in different directions is prioritized 本文利用分形幾何理論與分形布朗運動原理,重點研究和分析了以下的幾個問題:分形維數(shù)計算時無標(biāo)度區(qū)的確定,使用了人工法與軌跡法相結(jié)合的方法;對原始數(shù)據(jù)進(jìn)行分塊分別計算其子分形維數(shù),考慮了實際地形特征的方向性,計算得到的子維數(shù)為局部的最大坡度方向上的方向維數(shù);改進(jìn)了傳統(tǒng)的隨機中點移位( rmd )內(nèi)插技術(shù),使用不同的插值比系數(shù)進(jìn)行插值。