四维空间分形插值算法在品位估算中的应用  

Application of a four-dimensional space fractal interpolation algorithm in grade estimation

作　　者：胡乃联[1] 陈建均[1] 李国清[1] 杨桦[1] 

机构地区：[1]北京科技大学土木与环境工程学院,北京100083

出　　处：《工程科学学报》2015年第5期556-560,共5页Chinese Journal of Engineering

基　　金：国家自然科学基金资助项目(51104010);中央高校基本科研业务费专项资金资助项目(FRF-SD-12-001A)

摘　　要：克里金法是一种应用广泛的低通滤波性插值方法,但其无法重建原始信息中的高频、低频和局部信息.分形插值算法可利用自相似性,在保留原始信息的基础上,克服克里金插值中低通滤波的局限性,从而提高插值的准确性.本文在传统分形插值算法的基础上,结合地质空间信息,提出了适用于矿床品位估算的四维空间分形插值算法,并将其应用于钼矿的品位估算.结果表明:在该钼矿的品位估算中,四维空间分形插值算法明显优于克里金法.Kriging interpolation is a widely used low-pass filter interpolation method, but it cannot reconstruct the high-frequency, low-frequency and partial information of original information. Fractal interpolation using self-similarity, which can retain original information, overcomes the limitations of Kriging interpolation low-pass filters, thereby improving the interpolation accuracy. On the basis of the traditional fractal interpolation algorithm and in combination with geological spatial information, this paper introduces a four-dimensional space fractal interpolation algorithm suitable for ore grade estimation. The interpolation algorithm is applied to molybdenum ore grade estimation and then compared with the Kriging interpolation algorithm. The results show that the interpolation algorithm is superior to the Kriging interpolation algorithm.

关 键 词：探矿 品位估算 插值算法 分形 均方误差 

分 类 号：TD166[矿业工程—矿山地质测量]