摘要
讨论了用分形理论和方法处理基于GIS(GeographicInformationSystem)的地质勘探数据信息的几种分形数值计算方法。利用分形理论中分维计算的公式和方法,提取出能够描述"散乱"与"复杂"的地质勘探数据信息特征的量化指标——分形维数。在简要介绍分形数学原理的基础上,给出了线状要素和面状要素两种情形分形维数的数值算法及计算流程。本文所叙述的分形数值计算方法简明直观,可用来解决其他应用领域的同类问题,具有广泛的适用性。
Some numerical methods to process and cal culate geological prospecting information based on GIS(Geographic Information Sy stem) by fractal theory and met hod are discussed. Using the expressions and methods to calculate fractal dimens ion in fractal theory, to extract quantificational index-fractal dimension, t ha t can describe some feature 'promiscuity' and 'complex' geological prospecti ng information. Mathematical theories in fractal are specified bri efly, particular numerical methods and entire calculational step of fractal dime nsion for Liner Element and Polygonal Element are given. The fractal numerical c omputational methods are simple and clear, and can be widely used to solve the same kind of problems in other application fields.
出处
《吉林大学学报（信息科学版）》
CAS
2003年第2期138-142,共5页
Journal of Jilin University（Information Science Edition）
基金
国家863计划资助项目(2001AA135120-2)
关键词
分形
分形维数
线状要素
面状要素
Fractal
Fractal dimension
Liner element
Polygonal element
