制图综合方根规律模型的分形扩展

本文分析了方根规律存在的问题，运用分形理论，研究了有关要素数量指标随比例尺变化的规律，并建立了顾及要素自身形态及分布特征的方根规律分形扩展模型，从理论上，为科学、客观地进行制图综合的数量选取开辟了一条新的途径。本文最后还给出了若干要素选取的具体方法和所提出模型的应用实例

FRACTAL TRANSFORMATION OF SQUARE ROOT MODEL IN CARTOGRAPHIC GENERALIZATION

The existent problems of square root model in cartographic generalization are discussed. The laws that quantitative indexes of cartographic elements change with scale are explored,and the fractal transformation models of square root law,which can give consideration to the shape features of cartographic elements themself,are proposed based on fractal theory. They can give a new solution for quantitative choosing in cartographic generalization scientifically and objectively. Lastly some concret methods of cartogrphic generalization and actual examples to apply proposed models are given.