地图综合中的地图目标自相似性分形衰减研究

分形衰减是指在地图综合中,地图目标随着比例尺的变化其结构形态随之发生改变,其自相似程度是递减变化的,反应到分维数的变化上,称之为分形衰减。本文以分形分析方法作为工具,分维值作为度量参数,分析地图综合中地图目标的分形衰减现象。以扩展分维作为理论基础,从变维分析的角度出发,研究地图目标的自相似程度随比例尺变化而衰减的规律,进一步研究地图目标的尺度指标与分形衰减之间的关系。

Fractal attenuation analysis of cartographic object on cartography generalization

On the cartography generalization,the attribute,structural and shape of the cartography object would be changed with variation of the scale size,thereby,it results in the decrease of information as called fractal attenuation.This paper uses fractal geometry as a tool and fractal dimension as a parameter to analyze the phenomena of fractal attenuation of cartographic object on cartography generalization.Based on the theory of the extended fractal dimension,this paper studied the attenuation level of self-similarity of various map objects with the variety of the map scale,and researched further the relationship between the scale level factor of map features and fractal attenuation.